Hodge genera of algebraic varieties, I
Algebraic Geometry
2012-04-03 v3 Algebraic Topology
Abstract
The aim of this paper is to study the behavior of Hodge-theoretic (intersection homology) genera and their associated characteristic classes under proper morphisms of complex algebraic varieties. We obtain formulae that relate (parametrized families of) global invariants of a complex algebraic variety to such invariants of singularities of proper algebraic maps defined on . Such formulae severely constrain, both topologically and analytically, the singularities of complex maps, even between smooth varieties. Similar results were announced by the first and third author in \cite{CS1, S}.
Cite
@article{arxiv.math/0606655,
title = {Hodge genera of algebraic varieties, I},
author = {Sylvain E. Cappell and Laurentiu G. Maxim and Julius L. Shaneson},
journal= {arXiv preprint arXiv:math/0606655},
year = {2012}
}
Comments
to appear in Comm. in Pure and Applied Math