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arXiv · 1002.2075

Extensions of two Chow stability criteria to positive characteristics

Shinnosuke Okawa
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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.

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Shinnosuke Okawa. 2010-08-22. Extensions of two Chow stability criteria to positive characteristics. https://arxiv.org/abs/1002.2075

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