G., van der Geer,
F. Oort,
J.H.M. Steenbrink
Birkhäuser Boston
1991e druk, 1990
9780817635138
Arithmetic Algebraic Geometry
Specificaties
Gebonden, 444 blz.
|
Engels
Birkhäuser Boston |
1991e druk, 1990
ISBN13: 9780817635138
Rubricering
Onderdeel van serie
Progress in Mathematics
Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
Arithmetic algebraic geometry is in a fascinating stage of growth, providing a rich variety of applications of new tools to both old and new problems. Representative of these recent developments is the notion of Arakelov geometry, a way of "completing" a variety over the ring of integers of a number field by adding fibres over the Archimedean places. Another is the appearance of the relations between arithmetic geometry and Nevanlinna theory, or more precisely between diophantine approximation theory and the value distribution theory of holomorphic maps. Research mathematicians and graduate students in algebraic geometry and number theory will find a valuable and lively view of the field in this state-of-the-art selection.
Specificaties
ISBN13:9780817635138
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:444
Uitgever:Birkhäuser Boston
Druk:1991
Serie:Progress in Mathematics
Inhoudsopgave
Participants.-Contributors.-Introduction.-Well-Adjusted Models for Curves over Dedekind Rings.-On the Manin Constants of Modular Elliptic Curves.-The Action of Monogromy on Torsion Points of Jacobians.-An Exceptional Isomorphism between Modular Varieties.-Chern Functors.-Curves of Genus 2Covering Elliptic Curves and an Arithmetical Application.-Jacobians with Complex Multiplication.-Familles de Courbes Hyperelliptiques à Nultiplications Réelles.-Séries de Kronecker et Fonctions L des Puissances Symétriques de Courbes Elliptiques sur Q.-Hyperelliptic Supersingular Curves.-Letter to Don Zagier.-The Old Subvariety of J(pq).-Loyvagin’s System of Gauss Sums.-The Exponents of the Groups of Points on the Reductions of an Elliptic Curve.-The Generalized De Rham-Witt Complex and Congruence Differential Equations.-Arithmetic Discriminants and Quadratic Points on Curves.-The Birch-Swinnerton-Dyer Conjecture from a Naïve Point of View.-Polylogarithms, Dedekind Zeta Functions, and the Algebraic K-Theory of Fields.-Finiteness Theorems for Dimensions of Irreducible lambda-adic Representations.