Parshin Residues via Coboundary Operators
Algebraic Geometry
2015-03-13 v3 Geometric Topology
Abstract
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.
Cite
@article{arxiv.0707.3748,
title = {Parshin Residues via Coboundary Operators},
author = {Mikhail Mazin},
journal= {arXiv preprint arXiv:0707.3748},
year = {2015}
}
Comments
18 pages; 5 figures; Title changed; Presentation significantly changed; All the proofs filled in