Geometry

Download E-books Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified (Chapman & Hall/CRC Pure and Applied Mathematics) PDF

By Vincenzo Ancona

Differential types on Singular types: De Rham and Hodge conception Simplified makes use of complexes of differential types to offer an entire remedy of the Deligne idea of combined Hodge constructions at the cohomology of singular areas. This publication positive factors an method that employs recursive arguments on measurement and doesn't introduce areas of upper size than the preliminary house. It simplifies the idea via simply identifiable and well-defined weight filtrations. It additionally avoids dialogue of cohomological descent concept to take care of accessibility. themes contain classical Hodge conception, differential varieties on advanced areas, and combined Hodge buildings on noncompact areas.

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Read or Download Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified (Chapman & Hall/CRC Pure and Applied Mathematics) PDF

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