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Computing characteristic classes of projective schemes

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

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Paolo Aluffi. 2002-04-18. Computing characteristic classes of projective schemes. https://doi.org/10.1016/s0747-7171(02)00089-5

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