English

Computing characteristic classes of projective schemes

Algebraic Geometry 2012-04-10 v1

Abstract

We discuss an algorithm computing the push-forward to projective space of several classes associated to a (possibly singular, reducible, nonreduced) projective scheme. For example, the algorithm yields the topological Euler characteristic of the support of a projective scheme SS, given the homogeneous ideal of SS. The algorithm has been implemented in Macaulay2.

Keywords

Cite

@article{arxiv.math/0204230,
  title  = {Computing characteristic classes of projective schemes},
  author = {Paolo Aluffi},
  journal= {arXiv preprint arXiv:math/0204230},
  year   = {2012}
}

Comments

15 pages. Code available at http://www.math.fsu.edu/~aluffi/CSM/CSM.html