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Hypersurfaces in products of projective spaces

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Speaker: 
John Christian Ottem
Affiliation: 
Cambridge
Date: 
Thu, 06/11/2014 - 10:30 - 12:00
Location: 
MPIM Lecture Hall

Hypersurfaces in multiprojective spaces are defined by a multigraded polynomial. Despite their apparent simplicity, their birational geometry can be quite complicated. For example, they can have infinite birational automorphism groups. We give a complete picture of their birational geometry and compute their effective cones and nef cones. As an application, we give a negative answer to a question of Cascini and Gongyo.

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