English

Equivalent birational embedding IV: reduced varieties

Algebraic Geometry 2022-03-30 v1

Abstract

Two reduced projective schemes are said to be Cremona equivalent if there is a Cremona map that maps one in the other. In this paper I revise some of the known results about Cremona equivalence and extend the main result of [MP09] to reduced schemes. This allows to prove a very general contractibility result for union of rational subvarieties.

Cite

@article{arxiv.2203.15645,
  title  = {Equivalent birational embedding IV: reduced varieties},
  author = {Massimiliano Mella},
  journal= {arXiv preprint arXiv:2203.15645},
  year   = {2022}
}

Comments

to appear in the special volume on "Rationality problems" of the Rend. Circ. Mat. Palermo