Extensions of two Chow stability criteria to positive characteristics
Algebraic Geometry
2010-08-24 v2
Abstract
We extend two results on Chow (semi-)stability to positive characteristics. One is on the stability of non-singular projective hypersurfaces of degree greater than 2, and the other is the criterion by Y. Lee in terms of log canonical thresholds. Some properties of log-canonicity in positive characteristics are discussed with a couple of examples, in connection with the proof of the latter one. It is also proven in appendix that the sum of Chow (semi-)stable cycles are again Chow (semi-)stable.
Keywords
Cite
@article{arxiv.1002.2075,
title = {Extensions of two Chow stability criteria to positive characteristics},
author = {Shinnosuke Okawa},
journal= {arXiv preprint arXiv:1002.2075},
year = {2010}
}
Comments
20 pages. Several minor errors corrected. The remark to Conjecture 4.2 was changed. To appear on Michigan Mathematical Journal in 2011