Ludvig Olsson: Moret-Bailly families and nonliftable schemes
Time: Wed 2021-10-13 13.15 - 14.15
Lecturer: Ludvig Olsson (SU)
We construct a family of schemes in characteristic p>0 and show that the subfamily with nef anticanonical sheaf does not lift projectively to characteristic 0. The construction is roughly given as a quotient of a superspecial abelian variety over projective space by an infinitesimal subgroup, and generalizes the Moret-Bailly pencil of supersingular abelian surfaces to higher dimensions. In the proof of nonliftability, we use the surjectivity of the Albanese map for Kähler manifolds with nef anticanonical sheafs.
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