English

Derived equivalence and birationality

Algebraic Geometry 2011-08-10 v1

Abstract

A different proof to a known criterion of derived equivalence implying birationality is given. Derived equivalent smooth projective curves over an algebraically closed field are proved to be isomorphic. A different proof of derived equivalence implying birationality for varieties of general type (originally due to Kawamata) is given.

Keywords

Cite

@article{arxiv.1108.2026,
  title  = {Derived equivalence and birationality},
  author = {Yu-Han Liu},
  journal= {arXiv preprint arXiv:1108.2026},
  year   = {2011}
}

Comments

12 pages

R2 v1 2026-06-21T18:48:29.640Z