Computing characteristic classes of projective schemes

Details Computing characteristic classes of projective schemes Computing characteristic classes of projective schemes

2002-04-18

arxiv.org/abs/math/0204230v1

J. Symbolic Comput. 35 (2003), no. 1, 3-19

Mathematics

Algebraic Geometry

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

Scientific paper

10.1016/S0747-7171(02)00089-5

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 $S$, given the homogeneous
ideal of $S$. The algorithm has been implemented in Macaulay2.

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