English

On Macaulayfication of certain quasi-projective schemes

alg-geom 2015-06-30 v1 Commutative Algebra Algebraic Geometry

Abstract

The notion of Macaulayfication, which is analogous of the desingularization, was introduced by Faltings in 1978 and he construct a Macaulayfication of quasi-projective scheme whose non-Cohen-Macaulay locus is of dimension 0 or 1 by a characteristic free method. In this paper, we gave a Macaulayfication of a quasi-projective scheme whose non-Cohen-Macaulay locus is of dimension 2. Of course out method is independent of the characteristic.

Keywords

Cite

@article{arxiv.alg-geom/9512009,
  title  = {On Macaulayfication of certain quasi-projective schemes},
  author = {Takesi Kawasaki},
  journal= {arXiv preprint arXiv:alg-geom/9512009},
  year   = {2015}
}

Comments

AMSLaTeX v 1.1 with amsart.sty, amscd.sty, 25 pages