Qu Santai(曲三太), Institute of Geometry and Physics, University of Science and Technology of China
In this talk, I will survey some recent progress about Kollar’s injectivity theorem on cohomologies. In the category of generalised pairs, we show that the injectivity theorem holds for projective generalised pairs with mild singularities when the nef part of the generalised pair is b-abundant. Moreover, by applying the methods from complex analytic geometry, we show that the injectivity theorem holds for generalised Kawamata log terminal generalised pairs on projective surfaces without any extra conditions on the nef parts of the generalised pairs.
2023-12-26 09:00-10:00
Room A-103, TSIMF
Injectivity theorem for generalised pairs on surfaces - Qu Santai(曲三太)
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