Sachio Ohkawa - On log Cartier transform of higher level in positive characteristic




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Published on Oct 6, 2014

In this talk, we construct a splitting module of the Azumaya algebra of log
differential operators of higher level in characteristic 𝑝
greater than or equal 0 under the assumption
of an existence of certain mod 𝑝2 lifting. As an application, we construct a
Simpson type correspondence in characteristic 𝑝
greater than or equal 0. This result can be regarded
as a generalization of the result of Ogus-Vologodsky and Gros-Le Stum-Quiros
to the case of log schemes and that of Schepler to the case of higher level.

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