1.

Record Nr.

UNINA9910828537803321

Titolo

Applications of curves over finite fields : 1997 AMS-IMS-SIAM Joint Summer Research Conference on Applications of Curves over Finite Fields, July 27-31, 1997, University of Washington, Seattle / / Michael D. Fried, editor

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematics Society, , [1999]

©1999

ISBN

0-8218-7835-2

Descrizione fisica

1 online resource (254 p.)

Collana

Contemporary mathematics, , 0271-4132 ; ; 245

Disciplina

512/.74

Soggetti

Finite fields (Algebra)

Curves, Algebraic

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Applications of curves over finite fields""; ""1. Beyond Weil bounds;  curves with many rational points""; ""Curve sequences with asymptotically many rational points""; ""Shimura curves over finite fields and their rational points""; ""Distribution of minimal ideals in imaginary quadratic function fields""; ""Division points of Drinfeld modules and special values of Weil L-functions""; ""Constructing curves over finite fields with many points by solving linear equations""; ""On maximal curves having classical Weierstrass gaps""

""2. Monodromy groups of characteristic p covers""""Twice more nice equations for nice groups""; ""Linearized algebra and finite groups of Lie type: I: Linear and symplectic groups""; ""Regular realization of Abelian groups with controlled ramification""; ""On reduction of covers of arithmetic surfaces""; ""Function field sieve method for discrete logarithms over finite fields""; ""3. Zeta functions and trace formulas""; ""A quick introduction to Dwork's conjecture""; ""On the degree of the zeta function of a complete intersection""; ""The modular points of a genus 2 quotient of X0 (67)""

""Function fields: Arithmetic and applications""""Spanning trees in subgraphs of lattices""; ""Average rank for elliptic curves and a conjecture of Nagao""