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タイトル	Quasi-Frobenius-split and Serre-Tate theory
開催日時	2019年11月27日 16:30-17:30
主催者
講演者	呼子 笛太郎 氏 (名古屋大学)
場所	矢上キャンパス 14棟631A/B室
内容	This is a work in progress. According to the Serre-Tate theory, the local moduli space of ordinary abelian varieties or $K3$ surfaces has canonical coordinates, in particular, an ordinary variety admits a canonical lift to characteristic $0$. It is known that, for a Calabi-Yau variety in positive characteristic, ordinarity is equivalent to Frobenius-splitting. Recently, Achinger and Zdanowicz constructed the canonical lift modulo $p^2$ using Frobenius-splitting and mentioned that the method works for quasi-Frobenius-split schemes. In this talk, I will explain a deformation theoretic aspect of their construction and investigate the local moduli of a finite height $K3$ surface.
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