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Lectures on the Theory of Pure Motives
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Bibliographic Detail
Publisher Amer Mathematical Society
Publication date April 20, 2013
Pages 149
Binding Paperback
Book category Adult Non-Fiction
ISBN-13 9780821894347
ISBN-10 082189434X
Dimensions 0.50 by 6.75 by 10.25 in.
Weight 0.65 lbs.
Original list price $44.00
Summaries and Reviews
Amazon.com description: Product Description: The theory of motives was created by Grothendieck in the 1960s as he searched for a universal cohomology theory for algebraic varieties. The theory of pure motives is well established as far as the construction is concerned. Pure motives are expected to have a number of additional properties predicted by Grothendieck's standard conjectures, but these conjectures remain wide open. The theory for mixed motives is still incomplete. This book deals primarily with the theory of pure motives. The exposition begins with the fundamentals: Grothendieck's construction of the category of pure motives and examples. Next, the standard conjectures and the famous theorem of Jannsen on the category of the numerical motives are discussed. Following this, the important theory of finite dimensionality is covered. The concept of Chow-Künneth decomposition is introduced, with discussion of the known results and the related conjectures, in particular the conjectures of Bloch-Beilinson type. We finish with a chapter on relative motives and a chapter giving a short introduction to Voevodsky's theory of mixed motives.

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Paperback
Book cover for 9780821894347
 
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With Jan Nagel, Jacob P. Murre | from Amer Mathematical Society (April 20, 2013)
9780821894347 | details & prices | 149 pages | 6.75 × 10.25 × 0.50 in. | 0.65 lbs | List price $44.00
About: The theory of motives was created by Grothendieck in the 1960s as he searched for a universal cohomology theory for algebraic varieties.

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