Show simple item record

dc.contributor.authorBarja Yáñez, Miguel Ángel
dc.contributor.authorLahoz Vilalta, Martí
dc.contributor.authorNaranjo del Val, Joan Carles
dc.contributor.authorPareschi, Giusseppe
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2010-06-10T10:02:51Z
dc.date.available2010-06-10T10:02:51Z
dc.date.issued2010-02
dc.identifier.urihttp://hdl.handle.net/2117/7606
dc.description.abstractFrom the point of view of uniform bounds for the birationality of pluricanonical maps, irregular varieties of general type and maximal Albanese dimension behave similarly to curves. In fact Chen-Hacon showed that, at least when their holomorphic Euler characteristic is positive, the tricanonical map of such varieties is always birational. In this paper we study the bicanonical map. We consider the natural subclass of varieties of maximal Albanese dimension formed by primitive varieties of Albanese general type. We prove that the only such varieties with non-birational bicanonical map are the natural higher-dimensional generalization to this context of curves of genus 2: varieties birationally equivalent to the theta-divisor of an indecomposable principally polarized abelian variety. The proof is based on the (generalized) Fourier-Mukai transform
dc.format.extent20 p.
dc.language.isoeng
dc.relation.ispartofseriesarXiv:0907.4363
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.titleOn the bicanonical map of irregular varieties
dc.typeExternal research report
dc.subject.lemacVarietats abelianes
dc.subject.lemacVarietats (Matemàtica)
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.relation.publisherversionhttp://arxiv.org/pdf/0907.4363.pdf
dc.rights.accessOpen Access
local.identifier.drac2543749
dc.description.versionPreprint
local.personalitzacitaciotrue


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record