Chern Numbers of Smooth Varieties via Homotopy Continuation and Intersection Theory
Algebraic Geometry
2009-09-14 v1 Commutative Algebra
Abstract
Homotopy continuation provides a numerical tool for computing the equivalence of a smooth variety in an intersection product. Intersection theory provides a theoretical tool for relating the equivalence of a smooth variety in an intersection product to the degrees of the Chern classes of the variety. A combination of these tools leads to a numerical method for computing the degrees of Chern classes of smooth projective varieties in P^n. We illustrate the approach through several worked examples.
Keywords
Cite
@article{arxiv.0909.2111,
title = {Chern Numbers of Smooth Varieties via Homotopy Continuation and Intersection Theory},
author = {Sandra Di Rocco and David Eklund and Chris Petersen and Andrew J. Sommese},
journal= {arXiv preprint arXiv:0909.2111},
year = {2009}
}