Non-rationality of a three-dimensional Fano variety of index 2 and degree 1

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We describe the set of Mori structures for a Fano 3-fold of index 2 and degree 1 (the double cone over the Veronese surface). In partiular, it is proved that such a Fano variety is not rational, the group of birational automorphisms coincides with the group of biregular automorphisms, and there are no structures of conic bundle.
24 pages, 3 figures

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Algebraic Geometry, 14E07; 14E08

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http://salesiana.dossiersoluciones.com/handle/123456789/67183

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304321
 http://arxiv.org/abs/math/0304321

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arXiv