Modular Curves and Abelian Varieties

Modular Curves and Abelian Varieties

Paperback(Softcover reprint of the original 1st ed. 2004)

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Product Details

ISBN-13: 9783034896214
Publisher: Birkhäuser Basel
Publication date: 10/23/2012
Series: Progress in Mathematics , #224
Edition description: Softcover reprint of the original 1st ed. 2004
Pages: 289
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

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.- 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.

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