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Synopsis
It would be difficult to overestimate the influence and importance of modular forms, modular curves, and modular abelian varieties in the development of num- ber theory and arithmetic geometry during the last fifty years. These subjects lie at the heart of many past achievements and future challenges. For example, the theory of complex multiplication, the classification of rational torsion on el- liptic curves, the proof of Fermat's Last Theorem, and many results towards the Birch and Swinnerton-Dyer conjecture all make crucial use of modular forms and modular curves. A conference was held from July 15 to 18, 2002, at the Centre de Recerca Matematica (Bellaterra, Barcelona) under the title "Modular Curves and Abelian Varieties". Our conference presented some of the latest achievements in the theory to a diverse audience that included both specialists and young researchers. We emphasized especially the conjectural generalization of the Shimura-Taniyama conjecture to elliptic curves over number fields other than the field of rational numbers (elliptic Q-curves) and abelian varieties of dimension larger than one (abelian varieties of GL2-type).
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Modular Curves and Abelian Varieties (eng)
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Modular Curves and Abelian Varieties
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Modular Curves and Abelian Varieties
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Birkhäuser, Birkhäuser Okt 2012, 2012
ISBN 10: 3034896212
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -It would be difficult to overestimate the influence and importance of modular forms, modular curves, and modular abelian varieties in the development of num ber theory and arithmetic geometry during the last fifty years. These subjects lie at the heart of many past achievements and future challenges. For example, the theory of complex multiplication, the classification of rational torsion on el liptic curves, the proof of Fermat's Last Theorem, and many results towards the Birch and Swinnerton-Dyer conjecture all make crucial use of modular forms and modular curves. A conference was held from July 15 to 18, 2002, at the Centre de Recerca Matematica (Bellaterra, Barcelona) under the title 'Modular Curves and Abelian Varieties'. Our conference presented some of the latest achievements in the theory to a diverse audience that included both specialists and young researchers. We emphasized especially the conjectural generalization of the Shimura-Taniyama conjecture to elliptic curves over number fields other than the field of rational numbers (elliptic Q-curves) and abelian varieties of dimension larger than one (abelian varieties of GL2-type). 304 pp. Englisch. Seller Inventory # 9783034896214
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Modular Curves and Abelian Varieties (Progress in Mathematics, 224)
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Modular Curves and Abelian Varieties
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes recent contributions on modular curves and their Jacobians as well as such seminal works as Kenneth Ribet s article Abelian varieties over the rationals and modular forms , Elisabeth Pyle s 1995 dissertation on abelian varieties over the ration. Seller Inventory # 4319434
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Modular Curves and Abelian Varieties
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Modular Curves and Abelian Varieties
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - It would be difficult to overestimate the influence and importance of modular forms, modular curves, and modular abelian varieties in the development of num ber theory and arithmetic geometry during the last fifty years. These subjects lie at the heart of many past achievements and future challenges. For example, the theory of complex multiplication, the classification of rational torsion on el liptic curves, the proof of Fermat's Last Theorem, and many results towards the Birch and Swinnerton-Dyer conjecture all make crucial use of modular forms and modular curves. A conference was held from July 15 to 18, 2002, at the Centre de Recerca Matematica (Bellaterra, Barcelona) under the title 'Modular Curves and Abelian Varieties'. Our conference presented some of the latest achievements in the theory to a diverse audience that included both specialists and young researchers. We emphasized especially the conjectural generalization of the Shimura-Taniyama conjecture to elliptic curves over number fields other than the field of rational numbers (elliptic Q-curves) and abelian varieties of dimension larger than one (abelian varieties of GL2-type). Seller Inventory # 9783034896214
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Modular Curves and Abelian Varieties (Progress in Mathematics)
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Paperback. Condition: Brand New. 304 pages. 9.25x6.10x0.69 inches. In Stock. Seller Inventory # x-3034896212
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Modular Curves and Abelian Varieties
Published by
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ISBN 10: 3034896212
ISBN 13: 9783034896214
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 304 pp. Englisch. Seller Inventory # 9783034896214
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Modular Curves and Abelian Varieties
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Condition: New. Print on Demand pp. 306 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Seller Inventory # 94537801
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