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Workshop on Birational geometry
March 30, 2018 17:00, Moscow, Faculty of mathematics HSE, Usacheva Str. 6

Canonical bundle formula in a field of positive characteristic field

Y. Chen

Chinese Academy of Sciences


https://youtu.be/yZAP8Vy2Ny8

Abstract: Over the field of complex numbers, Kodaira formulates a canonical bundle formula for relatively minimal elliptic fibration in terms of $j$-function of the elliptic curves and singularities of fibers. Over the field of positive characteristic, Bombieri and Mumford give a canonical bundle formula in terms of Euler number of the surface. In the talk, we try to give a canonical bundle formula of Kodaira type over the field of positive characteristic. This is a joint work with Yi Gu.

Language: English

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