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dc.contributor.authorBertolini, Massimo
dc.contributor.authorDarmon, Henri
dc.contributor.authorRotger Cerdà, Víctor
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.identifier.citationBertolini, M., Darmon, H., Rotger, V. Beilinson-Flach elements and Euler systems II: p-adic families and the Birch and Swinnerton-Dyer conjecture. "Journal of algebraic geometry", 23 Març 2015, vol. 24, p. 569-604.
dc.description.abstractLet E be an elliptic curve over Q and let % be an odd, irreducible twodimensional Artin representation. This article proves the Birch and Swinnerton-Dyer conjecture in analytic rank zero for the Hasse-WeilArtin L-series L(E, %, s), namely, the implication L(E, %, 1) 6= 0 ¿ (E(H) ¿ %) Gal(H/Q) = 0, where H is the finite extension of Q cut out by %. The proof relies on padic families of global Galois cohomology classes arising from BeilinsonFlach elements in a tower of products of modular curves.
dc.format.extent36 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Aritmètica
dc.subject.lcshArithmetical algebraic geometry
dc.titleBeilinson-Flach elements and Euler systems II: p-adic families and the Birch and Swinnerton-Dyer conjecture
dc.subject.lemacGeometria algèbrica--Aritmètica
dc.contributor.groupUniversitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::11 Number theory::11G Arithmetic algebraic geometry (Diophantine geometry)
dc.rights.accessOpen Access
dc.description.versionPostprint (author's final draft)
upcommons.citation.authorBertolini, M.; Darmon, H.; Rotger, V.
upcommons.citation.publicationNameJournal of algebraic geometry

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