Mixed Hodge Structures - Chris A. M. Peters

Mixed Hodge Structures
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Autor: Chris A. M. Peters

 Wydawnictwo: Springer Verlag
ISBN: 9783540770152
EAN:
Format: ...
Oprawa: ...
Stron: 488
Data wydania: 2008-08-01
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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. From the reviews: "This book is dealing with Hodge Theory ... which generalizes in a functorial way the variations of MHS. ... The clarity of the presentation and the wealth of information are both remarkable. This book ... is a masterpiece that anyone working in Algebraic Geometry, Singularities or Analytic/Complex Geometry would like to have in his own library." (Alexandru Dimca, Zentralblatt MATH, Vol. 1138 (16), 2008) "The book under review ! focuses mainly on the 'pure' story just summarized, is aimed at graduate students and researchers ! . The book begins with a brief historical survey; each chapter is headed by a good summary of its contents and concluded by historical remarks (with references). ! this work is a thoroughly readable and very up-to-date account of mixed Hodge theory, written by masters of the subject, and will undoubtedly serve as a basic reference for years to come." (Matt Kerr, Mathematical Reviews, Issue 2009 C) "This book has been awaited for many years. ! the book which is now available will certainly rapidly become one of the standard references on the topic. Hodge theory assigns to a complex variety data which come from linear algebra. ! I heartily recommend the book." (Helene Esnault, Jahresbericht der Deutsche Mathematiker Vereinigung, Vol. 112 (1), 2010)

Książka "Mixed Hodge Structures"
Chris A. M. Peters