English

Tilting generators via ample line bundles

Algebraic Geometry 2009-08-06 v2

Abstract

It is known that a tilting generator on an algebraic variety XX gives a derived equivalence between XX and a certain non-commutative algebra. In this paper, we explain a method to construct a tilting generator from an ample line bundle, and construct it in several examples.

Cite

@article{arxiv.0804.4256,
  title  = {Tilting generators via ample line bundles},
  author = {Yukinobu Toda and Hokuto Uehara},
  journal= {arXiv preprint arXiv:0804.4256},
  year   = {2009}
}

Comments

31 pages. Minor revisions. To appear in Advances in Math

R2 v1 2026-06-21T10:34:54.806Z