Divisibility of characteristic numbers
Algebraic Topology
2009-03-26 v1 Algebraic Geometry
Abstract
We use homotopy theory to define certain rational coefficients characteristic numbers with integral values, depending on a given prime number q and positive integer t. We prove the first nontrivial degree formula and use it to show that existence of morphisms between algebraic varieties for which these numbers are not divisible by q give information on the degree of such morphisms or on zero cycles of the target variety.
Cite
@article{arxiv.0903.4346,
title = {Divisibility of characteristic numbers},
author = {Simone Borghesi},
journal= {arXiv preprint arXiv:0903.4346},
year = {2009}
}
Comments
This is the version published by Geometry & Topology Monographs on 29 January 2007