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Hypersurfaces in products of projective spaces

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John Christian Ottem (Cambridge) - Seminar Algebraische Geometrie (SAG)

  • Seminar
When Nov 06, 2014
from 10:30 am to 11:30 am
Where Bonn, Hörsaal MPI, Vivatsgasse 7
Contact Name Sachinidis
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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.