%0 Journal Article
%T Chern Numbers of Smooth Varieties via Homotopy Continuation and Intersection Theory
%A Sandra Di Rocco
%A David Eklund
%A Chris Petersen
%A Andrew J. Sommese
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0909.2111v1