A Direct Algorithm to Compute the Topological Euler Characteristic and ChernSchwartzMacPherson Class of Projective Complete Intersection Varieties
Abstract
Let $V$ be a possibly singular schemetheoretic complete intersection subscheme of $\mathbb{P}^n$ over an algebraically closed field of characteristic zero. Using a recent result of Fullwood ("On Milnor classes via invariants of singular subschemes", Journal of Singularities) we develop an algorithm to compute the ChernSchwartzMacPherson class and Euler characteristic of $V$. This algorithm complements existing algorithms by providing performance improvements in the computation of the ChernSchwartzMacPherson class and Euler characteristic for certain types of complete intersection subschemes of $\mathbb{P}^n$.
 Publication:

arXiv eprints
 Pub Date:
 October 2014
 arXiv:
 arXiv:1410.4113
 Bibcode:
 2014arXiv1410.4113H
 Keywords:

 Mathematics  Algebraic Geometry;
 Computer Science  Symbolic Computation;
 14Qxx;
 68W30;
 14C17;
 13P15;
 65H10;
 F.2.2;
 I.1.2;
 I.1.1
 EPrint:
 47 pages, 3 tables, with Appendix by Martin Helmer and Eric Schost