Parshin Residues via Coboundary Operators

Details Parshin Residues via Coboundary Operators Parshin Residues via Coboundary Operators

2007-07-25

arxiv.org/abs/0707.3748v3

Mathematics

Algebraic Geometry

18 pages; 5 figures; Title changed; Presentation significantly changed; All the proofs filled in

Scientific paper

The article consist of two main parts: an analog of the Leray Theory for Singular Varieties and its application to the Theory of Parshin's Residues. The first part is independent from the second. It uses the theory of Whitney stratifications. The second part is an application of the first. In particular, a geometric and very transparent proof of the Parshin's Reciprocity Law for residues is given.

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