Birational geometry of hypersurfaces in products of projective spaces
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Ottem, J. (2015). Birational geometry of hypersurfaces in products of projective spaces. Mathematische Zeitschrift, 280 135-148. https://doi.org/10.1007/s00209-015-1415-x
We study the birational properties of hypersurfaces in products of projective spaces. In the case of hypersurfaces in Pm x Pn, we describe their nef, movable and e ective 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.
External DOI: https://doi.org/10.1007/s00209-015-1415-x
This record's URL: https://www.repository.cam.ac.uk/handle/1810/246473