Euler characteristics of algebraic varieties
Algebraic Topology
2012-04-03 v3 Algebraic Geometry
Abstract
This note studies the behavior of Euler characteristics and of intersection homology Euler characterstics under proper morphisms of algebraic (or analytic) varieties. The methods also yield, for algebraic (or analytic) varieties, formulae comparing these two kinds of Euler characteristics. The main results are direct consequences of the calculus of constructible functions and Grothendieck groups of constructible sheaves. Similar formulae for Hodge theoretic invariants of algebraic varieties under morphisms were announced by the first and third authors in \cite{CS1, S}.
Cite
@article{arxiv.math/0606654,
title = {Euler characteristics of algebraic varieties},
author = {Sylvain E. Cappell and Laurentiu Maxim and Julius L. Shaneson},
journal= {arXiv preprint arXiv:math/0606654},
year = {2012}
}
Comments
to appear in Comm. in Pure and Applied Math