Birational rigidity and Q-factoriality of a singular double quadric

dc.creatorShramov, Constantin
dc.date2007-01-18
dc.date2008-03-30
dc.date.accessioned2026-07-07T09:29:13Z
dc.date.available2026-07-07T09:29:13Z
dc.descriptionWe prove birational rigidity and calculate the group of birational automorphisms of a nodal Q-factorial double cover $X$ of a smooth three-dimensional quadric branched over a quartic section. We also prove that $X$ is Q-factorial provided that it has at most 11 singularities; moreover, we give an example of a non-Q-factorial variety of this type with 12 simple double singularities.
dc.description14 pages; minor corrections
dc.identifierhttps://arxiv.org/abs/math/0701522
dc.identifierhttp://arxiv.org/abs/math/0701522
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157707
dc.subjectAlgebraic Geometry
dc.subject14E05 (Primary); 14E07, 14J30 (Secondary)
dc.titleBirational rigidity and Q-factoriality of a singular double quadric
dc.typetext

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