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Seminar of Algebraic Geometry in East Asia
 
16:15 - 17:15, June 3, 2022 (Friday)
Zoom, Online seminar
(線上演講 Zoom)
Deformations of Klt and Slc Singularities
Shunsuke Takagi (University of Tokyo)

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.

Link information

Meeting ID: 896 0321 0669 
Passcode: 340252


 

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