Algebraic Geometry Seminar

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Date, time & place Monday 15:30 - 17:00 Room #122 (Graduate School of Math. Sci. Bldg.)

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2017/11/28

15:30-17:00   Room #122 (Graduate School of Math. Sci. Bldg.)
Hiromu Tanaka (Tokyo)
Kodaira vanishing theorem for Witt canonical sheaves (English)
[ Abstract ]
We establish an analogue of the Kodaira vanishing theorem in terms of de Rham-Witt complex. More specifically, given a smooth projective variety over a perfect field of positive characteristic, we prove that the higher cohomologies vanish for the tensor product of the Witt canonical sheaf and the Teichmuller lift of an ample invertible sheaf.