Modular Curves and Abelian Varieties

304 Seiten, Hardcover

Kurzbeschreibung des Verlags

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.

• Reihe: Progress in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Geometrie Algebraische Geometrie
• ISBN: 9783764365868
• Sprache: Englisch
• Erscheinungsdatum: 23.02.2004
• Größe: 241 x 160 mm
• Verlag: Birkhäuser
• Herausgegeben von: Joan-Carles Lario, Kenneth Ribet, Jordi Quer, John Cremona