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Paper detail

Computing characteristic classes of projective schemes

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.

preprint2002arXivOpen access
Paolo Aluffi
math.AG
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Paolo Aluffi

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