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arXiv:1305.0537 [math.AG]AbstractReferencesReviewsResources

Birational geometry of hypersurfaces in products of projective spaces

John Christian Ottem

Published 2013-05-02, updated 2014-10-01Version 3

We study the birational properties of hypersurfaces in products of projective spaces. In the case of hypersurfaces in P^m x P^n, we describe their nef, movable and effective cones and determine when they are Mori dream spaces. Using this, we give new simple examples of non-Mori dream spaces and analogues of Mumford's example of a strictly nef line bundle which is not ample.

Comments: v3: Minor changes
Categories: math.AG
Subjects: 14E05, 14C20, 14M99
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