Tráng / Cattani / El Zein Hodge Theory

Course Book
ISBN: 978-1-4008-5147-8
Verlag: De Gruyter
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 608 Seiten

Reihe: Mathematical Notes

Eduardo Cattani is professor of mathematics at the University of Massachusetts, Amherst. Fouad El Zein is a researcher at the Institut de Mathématiques de Jussieu, Université de Paris VII. Phillip A. Griffiths is former director and professor emeritus of mathematics at the Institute for Advanced Study in Princeton. Lê D?ng Tráng is professor emeritus of mathematics at the Aix-Marseille Université.

Autoren/Hrsg.

Tráng, Lê Dung

Cattani, Eduardo

El Zein, Fouad

Griffiths, Phillip A.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Topologie
• Mathematik | Informatik Mathematik Mathematik Allgemein

Inhaltsverzeichnis

FrontMatter, pg. i
Contributors, pg. v
Contents, pg. vii
Preface, pg. xv
Chapter One. Introduction to Kähler Manifolds, pg. 1
Chapter Two. From Sheaf Cohomology to the Algebraic de Rham Theorem, pg. 70
Chapter Three. Mixed Hodge Structures, pg. 123
Chapter Four. Period Domains and Period Mappings, pg. 217
Chapter Five. The Hodge Theory of Maps, pg. 257
Chapter Six The Hodge Theory of Maps, pg. 273
Chapter Seven. Introduction to Variations of Hodge Structure, pg. 297
Chapter Eight. Variations of Mixed Hodge Structure, pg. 333
Chapter Nine. Lectures on Algebraic Cycles and Chow Groups, pg. 410
Chapter Ten. The Spread Philosophy in the Study of Algebraic Cycles, pg. 449
Chapter Eleven. Notes on Absolute Hodge Classes, pg. 469
Chapter Twelve. Shimura Varieties: A Hodge-Theoretic Perspective, pg. 531
Bibliography, pg. 574
Index, pg. 577

Über Autor(innen)

Eduardo Cattani is professor of mathematics at the University of Massachusetts, Amherst. Fouad El Zein is a researcher at the Institut de Mathématiques de Jussieu, Université de Paris VII. Phillip A. Griffiths is former director and professor emeritus of mathematics at the Institute for Advanced Study in Princeton. Lê Dung Tráng is professor emeritus of mathematics at the Aix-Marseille Université.