English

On the regularity of product of pure power complete intersections

Commutative Algebra 2018-06-21 v1

Abstract

Let I be a complete intersection in a polynomial ring over a field, the Castelnuovo-Mumford regularity of I^n is given by using an induction method. When I, J and K are three pure power complete intersections, it is proved that reg(IJK) is not more than reg(I)+reg(J)+reg(K).

Keywords

Cite

@article{arxiv.1806.07616,
  title  = {On the regularity of product of pure power complete intersections},
  author = {Yubin Gao},
  journal= {arXiv preprint arXiv:1806.07616},
  year   = {2018}
}