Extensions of two Chow stability criteria to positive characteristics

Details Extensions of two Chow stability criteria to positive characteristics Extensions of two Chow stability criteria to positive characteristics

2010-02-10

arxiv.org/abs/1002.2075v2

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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