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TitleModular Curves and Abelian Varieties [electronic resource] / edited by John E. Cremona, Joan-Carles Lario, Jordi Quer, Kenneth A. Ribet
ImprintBasel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2004
Connect tohttp://dx.doi.org/10.1007/978-3-0348-7919-4
Descript VIII, 289 p. online resource

CONTENT

Stable 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 -- Serreโ{128}{153}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 Igusaโ{128}{153}s threefold -- Shafarevich-Tate groups of nonsquare order


Mathematics Algebraic geometry Number theory Mathematics Number Theory Algebraic Geometry



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