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Cover for 9780691170541 Cover for 9780691170558 Cover for 9789814663847 Cover for 9781632206619 Cover for 9781783032952 Cover for 9780387983615 Cover for 9781461272465 Cover for 9780821853689 Cover for 9780387570587 Cover for 9783540570585 Cover for 9783642081712 Cover for 9780521321532 Cover for 9780521134200 Cover for 9780521632775 Cover for 9780521060226 Cover for 9780821842447 Cover for 9783540215059 Cover for 9783540008323 Cover for 9780387986685 Cover for 9780521636414 Cover for 9780821819562 Cover for 9783540637196 Cover for 9780821805046 Cover for 9783540617952 Cover for 9780387610184 Cover for 9783540546801 Cover for 9780521495103 Cover for 9780521288156 Cover for 9780521498425 Cover for 9780821803417
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This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces. The range of Lebesgue spaces for which these estimates are valid is described in terms of Newton polyhedra associated to the given surface.Isroil Ikromov and Detlef Müller begin with Elias M. Stein's concept of Fourier restriction and some relations between the decay of the Fourier transform of the surface measure and Stein-Tomas type restriction estimates. Varchenko's ideas relating Fourier decay to associated Newton polyhedra are briefly explained, particularly the concept of adapted coordinates and the notion of height. It turns out that these classical tools essentially suffice already to treat the case where there exist linear adapted coordinates, and thus Ikromov and Müller concentrate on the remaining case. Here the notion of r-height is introduced, which proves to be the right new concept. They then describe decomposition techniques and related stopping time algorithms that allow to partition the given surface into various pieces, which can eventually be handled by means of oscillatory integral estimates. Different interpolation techniques are presented and used, from complex to more recent real methods by Bak and Seeger.Fourier restriction plays an important role in several fields, in particular in real and harmonic analysis, number theory, and PDEs. This book will interest graduate students and researchers working in such fields.

Hardcover:

9780691170541 | Princeton Univ Pr, May 24, 2016, cover price $165.00 | About this edition: This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces.

Paperback:

9780691170558 | Princeton Univ Pr, May 24, 2016, cover price $75.00

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Product Description: Nonabelian multiplicative integration on curves is a classical theory. This volume is about the 2-dimensional case, which is much more difficult. In our construction, the setup is a Lie crossed module: there is a Lie group H, together with an action on it by another Lie group G...read more

Hardcover:

9789814663847 | World Scientific Pub Co Inc, December 31, 2015, cover price $58.00 | About this edition: Nonabelian multiplicative integration on curves is a classical theory.

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Product Description: This is the riveting and extraordinary story of Kapitan Herbert Cleff, presented here for the first time by Brian Brinkworth. Cleff, an Officer on the staff of General Wilhelm Ritter von Thoma, attached to the 21st Panzer division operating in the Western desert, was captured near El Dab'a in Libya on the 6th November, 1942...read more

Hardcover:

9781632206619 | Skyhorse Pub Co Inc, June 2, 2015, cover price $22.99 | About this edition: This is the riveting and extraordinary story of Kapitan Herbert Cleff, presented here for the first time by Brian Brinkworth.
9781783032952 | Gardners Books, January 30, 2014, cover price $30.95 | About this edition: This is the riveting and extraordinary story of Kapitan Herbert Cleff, presented here for the first time by Brian Brinkworth.

Paperback:

9780387139043, titled "Resolution of Surface Singularities" | Springer Verlag, March 1, 1985, cover price $29.95 | also contains Resolution of Surface Singularities

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Product Description: A novel feature of the book is its integrated approach to algebraic surface theory and the study of vector bundle theory on both curves and surfaces. While the two subjects remain separate through the first few chapters, they become much more tightly interconnected as the book progresses...read more

Hardcover:

9780387983615 | Springer Verlag, February 1, 1998, cover price $79.99 | About this edition: A novel feature of the book is its integrated approach to algebraic surface theory and the study of vector bundle theory on both curves and surfaces.

Paperback:

9781461272465 | Reprint edition (Springer Verlag, October 8, 2012), cover price $79.99 | About this edition: A novel feature of the book is its integrated approach to algebraic surface theory and the study of vector bundle theory on both curves and surfaces.

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Paperback:

9780821853689 | Amer Mathematical Society, August 17, 2011, cover price $49.00

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Product Description: In 1961 Smale established the generalized Poincare Conjecture in dimensions greater than or equal to 5 [129] and proceeded to prove the h-cobordism theorem [130]. This result inaugurated a major effort to classify all possible smooth and topological structures on manifolds of dimension at least 5...read more

Hardcover:

9780387570587 | Springer Verlag, June 1, 1994, cover price $209.00 | About this edition: This book applies the recent techniques of gauge theory to study the smooth classification of compact complex surfaces.
9783540570585 | Springer Verlag, March 10, 1994, cover price $259.00 | About this edition: In 1961 Smale established the generalized Poincare Conjecture in dimensions greater than or equal to 5 [129] and proceeded to prove the h-cobordism theorem [130].

Paperback:

9783642081712 | Springer Verlag, December 1, 2010, cover price $259.00 | About this edition: In 1961 Smale established the generalized Poincare Conjecture in dimensions greater than or equal to 5 [129] and proceeded to prove the h-cobordism theorem [130].

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Product Description: This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many applications in engineering analysis, approximation, and curve plotting problems. Because of its usefulness for computing, the algebraic approach is the main theme, but a brief discussion of the synthetic approach is also presented as a way of gaining additional insight before proceeding with the algebraic manipulation...read more (view table of contents, read Amazon.com's description)

Hardcover:

9780521321532 | Cambridge Univ Pr, August 1, 1998, cover price $155.00 | About this edition: This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many applications in engineering analysis, approximation, and curve plotting problems.

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Product Description: Now back in print, this highly regarded book has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces, which include moduli spaces in positive characteristic, moduli spaces of principal bundles and of complexes, Hilbert schemes of points on surfaces, derived categories of coherent sheaves, and moduli spaces of sheaves on Calabi-Yau threefolds...read more

Hardcover:

9783528069070 | Friedrick Vieweg & Son, October 1, 1997, cover price $70.00

Paperback:

9780521134200 | 2 edition (Cambridge Univ Pr, July 31, 2010), cover price $74.99 | About this edition: Now back in print, this highly regarded book has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces, which include moduli spaces in positive characteristic, moduli spaces of principal bundles and of complexes, Hilbert schemes of points on surfaces, derived categories of coherent sheaves, and moduli spaces of sheaves on Calabi-Yau threefolds.

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Product Description: One of the major discoveries of the past two decades in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program, or Mori's program, has developed into a powerful tool with applications to diverse questions in algebraic geometry and beyond...read more

Hardcover:

9780521632775 | Cambridge Univ Pr, November 1, 1998, cover price $139.99 | About this edition: One of the major discoveries of the past two decades in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties.

Paperback:

9780521060226 | 1 edition (Cambridge Univ Pr, February 4, 2008), cover price $69.99 | also contains Birational Geometry of Algebraic Varieties | About this edition: One of the major discoveries of the past two decades in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties.

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Product Description: In this article the author describes in detail a compactification of the moduli schemes representing Drinfeld modules of rank 2 endowed with some level structure. The boundary is a union of copies of moduli schemes for Drinfeld modules of rank I, and its points are interpreted as Tate data...read more

Paperback:

9780821842447 | Amer Mathematical Society, January 31, 2009, cover price $69.00 | About this edition: In this article the author describes in detail a compactification of the moduli schemes representing Drinfeld modules of rank 2 endowed with some level structure.

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Product Description: The exposition studies projective models of K3 surfaces whose hyperplane sections are non-Clifford general curves. These models are contained in rational normal scrolls. The exposition supplements standard descriptions of models of general K3 surfaces in projective spaces of low dimension, and leads to a classification of K3 surfaces in projective spaces of dimension at most 10...read more

Paperback:

9783540215059 | Springer Verlag, June 30, 2004, cover price $49.95 | About this edition: The exposition studies projective models of K3 surfaces whose hyperplane sections are non-Clifford general curves.

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By Wolf Barth (editor), Klaus Hulek (editor), Chris A. M. Peters (editor) and Antonius Van De Ven (editor)

Hardcover:

9783540008323 | 2 enlarged edition (Springer Verlag, January 1, 2004), cover price $209.00

Paperback:

9780821826898 | Amer Mathematical Society, July 1, 2001, cover price $52.00

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Product Description: This book presents fundamentals from the theory of algebraic surfaces, including areas such as rational singularities of surfaces and their relation with Grothendieck duality theory, numerical criteria for contractibility of curves on an algebraic surface, and the problem of minimal models of surfaces...read more (view table of contents, read Amazon.com's description)

Hardcover:

9780387986685 | Springer Verlag, April 1, 2001, cover price $69.95 | About this edition: This book presents fundamentals from the theory of algebraic surfaces, including areas such as rational singularities of surfaces and their relation with Grothendieck duality theory, numerical criteria for contractibility of curves on an algebraic surface, and the problem of minimal models of surfaces.

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Product Description: One of the main achievements of algebraic geometry over the past twenty years is the work of Mori and others extending minimal models and the Enriques-Kodaira classification to 3-folds. This integrated suite of papers centers around applications of Mori theory to birational geometry...read more (view table of contents, read Amazon.com's description)

Paperback:

9780521636414 | Cambridge Univ Pr, August 1, 2000, cover price $89.99 | About this edition: One of the main achievements of algebraic geometry over the past twenty years is the work of Mori and others extending minimal models and the Enriques-Kodaira classification to 3-folds.

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Product Description: The Hilbert scheme $X^{[n]}$ of a surface $X$ describes collections of $n$ (not necessarily distinct) points on $X$. More precisely, it is the moduli space for $0$-dimensional subschemes of $X$ of length $n$. Recently it was realized that Hilbert schemes originally studied in algebraic geometry are closely related to several branches of mathematics, such as singularities, symplectic geometry, representation theory-even theoretical physics...read more (view table of contents, read Amazon.com's description)

Paperback:

9780821819562 | Amer Mathematical Society, September 1, 1999, cover price $26.00 | About this edition: The Hilbert scheme $X^{[n]}$ of a surface $X$ describes collections of $n$ (not necessarily distinct) points on $X$.

Product Description: This book is intended for graduate students and research mathematicians working in algebraic geometry

Hardcover:

9780821810965 | Amer Mathematical Society, July 1, 1999, cover price $54.00 | About this edition: This book is intended for graduate students and research mathematicians working in algebraic geometry

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Product Description: This new edition describes the geometric part of the author's 1965 proof of desingularization of algebraic surfaces and solids in nonzero characteristic. The book also provides a self-contained introduction to birational algebraic geometry, based only on basic commutative algebra...read more (view table of contents, read Amazon.com's description)

Hardcover:

9783540637196 | 2 sub edition (Springer Verlag, May 1, 1998), cover price $189.00 | About this edition: This new edition describes the geometric part of the author's 1965 proof of desingularization of algebraic surfaces and solids in nonzero characteristic.

Hardcover:

9780821805046 | Amer Mathematical Society, December 1, 1996, cover price $72.00

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Product Description: The book discusses a series of higher-dimensional moduli spaces, of abelian varieties, cubic and K3 surfaces, which have embeddings in projective spaces as very special algebraic varieties. Many of these were known classically, but in the last chapter a new such variety, a quintic fourfold, is introduced and studied...read more (view table of contents, read Amazon.com's description)

Paperback:

9783540617952 | Springer Verlag, June 1, 1996, cover price $69.95 | About this edition: The book discusses a series of higher-dimensional moduli spaces, of abelian varieties, cubic and K3 surfaces, which have embeddings in projective spaces as very special algebraic varieties.

The purpose of this book is to present the available (sometimes only partial) solutions to the two fundamental problems: the existence problem and the classification problem for holomorphic structures in a given topological vector bundle over a compact complex surface. Special features of the nonalgebraic surfaces case, like irreducible vector bundles and stability with respect to a Gauduchon metric, are considered. The reader requires a grounding in geometry at graduate student level. The book will be of interest to graduate students and researchers in complex, algebraic and differential geometry.

Paperback:

9783540610182 | Springer Verlag, June 1, 1996, cover price $49.99
9780387610184 | Springer Verlag, April 1, 1996, cover price $37.95 | About this edition: The purpose of this book is to present the available (sometimes only partial) solutions to the two fundamental problems: the existence problem and the classification problem for holomorphic structures in a given topological vector bundle over a compact complex surface.

Product Description: This EMS volume consists of two parts. The first part is devoted to the exposition of the cohomology theory of algebraic varieties. The second part deals with algebraic surfaces. The authors have taken pains to present the material rigorously and coherently...read more
By I. R. Shafarevich (editor)

Hardcover:

9780387546803 | Springer Verlag, May 1, 1996, cover price $139.00 | About this edition: This EMS volume consists of two parts.

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Useful to mathematicians and graduate students working in algebraic geometry, arithmetic algebraic geometry, complex analysis and related fields, this EMS volume consists of two parts. It talks about the exposition of the cohomology theory of algebraic varieties, in the first part, and deals with algebraic surfaces in the second part.
By R. Treger (trans)

Hardcover:

9783540546801 | Springer Verlag, December 30, 1995, cover price $99.00 | About this edition: Useful to mathematicians and graduate students working in algebraic geometry, arithmetic algebraic geometry, complex analysis and related fields, this EMS volume consists of two parts.

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Product Description: The classification of algebraic surfaces is an intricate and fascinating branch of mathematics, developed over more than a century and still an active area of research today. In this book, Professor Beauville gives a lucid and concise account of the subject, expressed simply in the language of modern topology and sheaf theory, and accessible to any budding geometer...read more (view table of contents, read Amazon.com's description)

Hardcover:

9780521495103 | 2 sub edition (Cambridge Univ Pr, October 1, 1995), cover price $135.00 | About this edition: The classification of algebraic surfaces is an intricate and fascinating branch of mathematics, developed over more than a century and still an active area of research today.

Paperback:

9780521498425 | 2 edition (Cambridge Univ Pr, October 1, 1995), cover price $49.99 | About this edition: The classification of algebraic surfaces is an intricate and fascinating branch of mathematics, developed over more than a century and still an active area of research today.
9780521288156 | Cambridge Univ Pr, October 1, 1983, cover price $27.95

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Product Description: This work provides a unified way of looking at the apparently sporadic Weyl groups connected with the classical algebraic geometry of surfaces from the viewpoint of the recently established Minimal Model Program for $3$-folds (Mori's Program)...read more

Paperback:

9780821803417 | Amer Mathematical Society, July 1, 1995, cover price $45.00 | About this edition: This work provides a unified way of looking at the apparently sporadic Weyl groups connected with the classical algebraic geometry of surfaces from the viewpoint of the recently established Minimal Model Program for $3$-folds (Mori's Program).

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