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Overview"This book presents lectures from a conference on ""Modular Curves and Abelian Varieties'' at the Centre de Recerca Matematica (Bellaterra, Barcelona). The articles in this volume present the latest achievements in this extremely active field and will be of interest both to specialists and to students and researchers. Many contributions focus on generalizations of the Shimura-Taniyama conjecture to varieties such as elliptic Q-curves and Abelian varieties of GL_2-type. The book also includes several key articles in the subject that do not correspond to conference lectures." Full Product DetailsAuthor: John Cremona , Joan-Carles Lario , Jordi Quer , Kenneth RibetPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 2004 ed. Volume: 224 Dimensions: Width: 15.50cm , Height: 1.70cm , Length: 23.50cm Weight: 1.330kg ISBN: 9783764365868ISBN 10: 3764365862 Pages: 289 Publication Date: 23 February 2004 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsStable reduction of modular curves.- On p-adic families of automorphic forms.- ?-curves and abelian varieties of GL2-type from dihedral genus 2 curves.- The old subvariety of J0(NM).- Irreducibility of Galois actions on level 1 Siegel cusp forms.- On elliptic K-curves.- ?-curves and Galois representations.- On the local behaviour of ordinary modular Galois representations.- Arithmetic of ?-curves.- Serre’s conjecture for mod 7 Galois representations.- Pairings in the arithmetic of elliptic curves.- Explicit parametrizations of ordinary and supersingular regions of X0(Pn).- Elliptic ?-curves with complex multiplication.- Abelian varieties over ? with large endomorphism algebras and their simple components over ?.- Abelian varieties over ? and modular forms.- Shimura curves embedded in Igusa’s threefold.- Shafarevich-Tate groups of nonsquare order.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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