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math.AG2018
Arithmetically rigid schemes via deformation theory of equivariant vector bundles
Maciej Emilian Zdanowicz
We analyze the deformation theory of equivariant vector bundles. In particular, we provide an effective criterion for verifying whether all infinitesimal deformations preserve the…
math.AG2018
Serre-Tate theory for Calabi-Yau varieties
Piotr Achinger, Maciej Zdanowicz
Classical Serre-Tate theory describes deformations of ordinary abelian varieties. It implies that every such variety has a canonical lift to characteristic zero and equips its loca…