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 kinds: De Rham and Hodge concept Simplified makes use of complexes of differential types to provide a whole remedy of the Deligne conception of combined Hodge buildings at the cohomology of singular areas. This ebook positive factors an procedure that employs recursive arguments on size and doesn't introduce areas of upper measurement than the preliminary area. It simplifies the idea via simply identifiable and well-defined weight filtrations. It additionally avoids dialogue of cohomological descent concept to keep up accessibility. subject matters comprise classical Hodge idea, differential kinds on complicated areas, and combined Hodge constructions on noncompact areas.

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