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Period Mappings and Period Domains | Hodge Theory and Complex Algebraic Geometry I | Positivity In Algebraic Geometry II | Complex Abelian Varieties
This is comprehensive basic monograph on mixed Hodge structures. Building up from basic Hodge theory the book explains Delingne's mixed Hodge theory in a detailed fashion. Then both Hain's and Morgan's approaches to mixed Hodge theory related to homotopy theory are sketched. Next comes the relative theory, and then the all encompassing theory of mixed Hodge modules. The book is interlaced with chapters containing applications. Three large appendices complete the book.
About: This is comprehensive basic monograph on mixed Hodge structures.
About: This is comprehensive basic monograph on mixed Hodge structures.
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