English

Some pathologies of Fano manifolds in positive characteristic

Algebraic Geometry 2017-06-20 v1

Abstract

We construct examples of Fano manifolds, which are defined over a field of positive characteristic, but not over \com\com.

Keywords

Cite

@article{arxiv.1706.05696,
  title  = {Some pathologies of Fano manifolds in positive characteristic},
  author = {Ilya Karzhemanov},
  journal= {arXiv preprint arXiv:1706.05696},
  year   = {2017}
}

Comments

9 pages; differs from the published version by an Appendix at the end (plus some other minor changes)