Deformations of klt and slc singularities
Speaker: Shunsuke Takagi (The University of Tokyo)

Time: 15:15, Friday, 3/6/2022

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Abstract: Esnault-Viehweg (resp. S. Ishii) proved that two-dimensional klt (resp. lc) singularities are stable under small deformations. Unfortunately, an analogous statement fails in higher dimensions, because the generic fiber is not necessarily Q-Gorenstein if the special fiber is klt. In this talk, I present a generalization of the results of Esnault-Viehweg and Ishii under the assumption that the generic fiber is Q-Gorenstein (but the total space is not necessarily Q-Gorenstein). This talk is based on joint work with Kenta Sato.

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