English

Fiber invariants of projective morphisms and regularity of powers of ideals

Commutative Algebra 2019-01-15 v1

Abstract

We introduce an invariant, associated to a coherent sheaf over a projective morphism of schemes, which controls when sheaf cohomology can be passed through the given morphism. We then use this invariant to estimate the stability indexes of the regularity and a*-invariant of powers of homogeneous ideals.

Keywords

Cite

@article{arxiv.1901.04425,
  title  = {Fiber invariants of projective morphisms and regularity of powers of ideals},
  author = {Sankhaneel Bisui and Huy Tai Ha and Abu Chackalamannil Thomas},
  journal= {arXiv preprint arXiv:1901.04425},
  year   = {2019}
}

Comments

16 pages