Extensions of two Chow stability criteria to positive characteristics

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.

20 pages. Several minor errors corrected. The remark to Conjecture 4.2 was changed. To appear on Michigan Mathematical Journal in 2011