Examples of Fano varieties of index one that are not birationally rigid

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dc.creatorCastravet, Ana-Maria
dc.date2006-04-26
dc.date2007-05-01
dc.date.accessioned2026-07-07T07:58:51Z
dc.date.available2026-07-07T07:58:51Z
dc.descriptionA conjecture of Pukhlikov states that a smooth Fano variety of dimension at least four and index one is birationally rigid. We show that a general member of the linear system given by the ample generator of the Picard group of the moduli space of stable, rank two bundles with fixed determinant of odd degree on a curve of genus at least three, is not birationally rigid.
dc.description4 pages; final version, to appear in Proc. of AMS
dc.identifierhttps://arxiv.org/abs/math/0604548
dc.identifierhttp://arxiv.org/abs/math/0604548
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128159
dc.subjectAlgebraic Geometry
dc.subject14E; 14H60
dc.titleExamples of Fano varieties of index one that are not birationally rigid
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