English

Chern classes of logarithmic derivations for some non-free arrangements

Algebraic Geometry 2014-09-18 v1

Abstract

Paolo Aluffi showed that the Chern--Schwartz--MacPherson class of the complement of a free arrangement agrees with the total Chern class of the sheaf of logarithmic derivations along the arrangement. We describe the defect of equality of the two classes for locally tame arrangements with isolated non-free singular loci.

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Cite

@article{arxiv.1409.4782,
  title  = {Chern classes of logarithmic derivations for some non-free arrangements},
  author = {Ngoc Anh Pham},
  journal= {arXiv preprint arXiv:1409.4782},
  year   = {2014}
}

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11 pages