By Vincenzo Ancona

Differential kinds on Singular forms: De Rham and Hodge thought Simplified makes use of complexes of differential types to provide a whole remedy of the Deligne idea of combined Hodge buildings at the cohomology of singular areas. This publication beneficial properties an technique 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 thought, differential kinds on complicated areas, and combined Hodge constructions on noncompact areas.

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