On Euler-Poincare characteristics
Algebraic Geometry
2014-10-09 v4 K-Theory and Homology
Abstract
It is well known that the Euler characteristic of the cohomology of a complex algebraic variety coincides with the Euler characteristic of its cohomology with compact support. An old result of G. Laumon asserts that a relative version of this statement is true in -adic cohomology. The purpose of this note is to extend Laumon's result to the topological setting. Some applications are also discussed.
Cite
@article{arxiv.1406.4855,
title = {On Euler-Poincare characteristics},
author = {Rahbar Virk},
journal= {arXiv preprint arXiv:1406.4855},
year = {2014}
}
Comments
proof of Theorem 4.1 clarified