ENGLISH

Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified (Pure and Applied Mathematics)

By Vincenzo Ancona , Bernard Gaveau

Book information

Publisher
Chapman and Hall/CRC
Year
2005
ISBN
0849337399, 9780849337390, 9781420026528
LCC
QA381 .A53 2006
Open Library ID
OL22721488M
Language
english
Format
PDF
Filesize
3 MB (2790787 bytes)
Series
Chapman & Hall/CRC Pure and Applied Mathematics
Edition
1
Pages
333\333
Time added
2010-02-18 13:16:04

Description

Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified uses complexes of differential forms to give a complete treatment of the Deligne theory of mixed Hodge structures on the cohomology of singular spaces. This book features an approach that employs recursive arguments on dimension and does not introduce spaces of higher dimension than the initial space. It simplifies the theory through easily identifiable and well-defined weight filtrations. It also avoids discussion of cohomological descent theory to maintain accessibility. Topics include classical Hodge theory, differential forms on complex spaces, and mixed Hodge structures on noncompact spaces.

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