English

Log-concavity of Milnor algebras for projective hypersurfaces

Algebraic Geometry 2014-01-30 v3

Abstract

We investigate the 0-th local cohomology of the Jacobian ring of a homogeneous polynomial defining a projective hypersurface whose singular locus is a 0-dimensional complete intersection.

Keywords

Cite

@article{arxiv.1310.0506,
  title  = {Log-concavity of Milnor algebras for projective hypersurfaces},
  author = {Gabriel Sticlaru},
  journal= {arXiv preprint arXiv:1310.0506},
  year   = {2014}
}

Comments

new material added as follows: Examples 2.4, 2.5, 2.6 On Remark 2.3, a table with examples for all subcases, arising from some singular plane curves for which the saturated Jacobian ideal is a complete intersection We added remark 1.5. Thanks to professor Aldo Conca for these examples