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

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dc.creatorGrinenko, Mikhail
dc.date2003-04-22
dc.date.accessioned2026-07-07T04:57:12Z
dc.date.available2026-07-07T04:57:12Z
dc.descriptionWe 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.
dc.description24 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0304321
dc.identifierhttp://arxiv.org/abs/math/0304321
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67183
dc.subjectAlgebraic Geometry
dc.subject14E07; 14E08
dc.titleNon-rationality of a three-dimensional Fano variety of index 2 and degree 1
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