English

Fujita's Conjecture and Frobenius amplitude

Algebraic Geometry 2021-01-26 v2

Abstract

We prove a version of Fujita's Conjecture in arbitrary characteristic, generalizing results of K.E. Smith. Our methods use the Frobenius morphism, but avoid tight closure theory. We also obtain versions of Fujita's Conjecture for coherent sheaves with certain ampleness properties.

Keywords

Cite

@article{arxiv.math/0606406,
  title  = {Fujita's Conjecture and Frobenius amplitude},
  author = {Dennis S. Keeler},
  journal= {arXiv preprint arXiv:math/0606406},
  year   = {2021}
}

Comments

8 pages. Erratum added to replace Lemma 2.5