Computing characteristic classes of projective schemes

Paolo Aluffi

doi:10.1016/S0747-7171(02)00089-5

Computing characteristic classes of projective schemes

代数几何 2012-04-10 v1

作者: Paolo Aluffi

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摘要

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.

关键词

macaulay2 software euler characteristic projective geometry

引用

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

备注

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

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