English

Some remarks on rigid sheaves, helices and exceptional vector bundles on Fano varieties over arbitrary fields

Algebraic Geometry 2018-03-29 v2

Abstract

In this paper we study the connection between rigid sheaves and separable-exceptional objects on Fano varieties over arbitrary fields. We give criteria for a rigid vector bundle on a Fano variety to be the direct sum of separable-exceptional bundles and for a separable-exceptional vector bundle to be part of a full separable-exceptional collection.

Keywords

Cite

@article{arxiv.1608.03085,
  title  = {Some remarks on rigid sheaves, helices and exceptional vector bundles on Fano varieties over arbitrary fields},
  author = {Saša Novaković},
  journal= {arXiv preprint arXiv:1608.03085},
  year   = {2018}
}

Comments

revised version, 13 pages, comments are welcome