Mixed Hodge Structures

Mixed Hodge Structures
Author: Chris A.M. Peters
Publisher: Springer Science & Business Media
Total Pages: 467
Release: 2008-02-27
Genre: Mathematics
ISBN: 3540770178

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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.