Applications of Curves Over Finite Fields

ISBN-13: 9780821809259 / Angielski / Miękka / 1999 / 226 str.

Opis

This volume presents the results of the AMS-IMS-SIAM Joint Summer Research Conference held at the University of Washington (Seattle). The talks were devoted to various aspects of the theory of algebraic curves over finite fields and its numerous applications. The three basic themes were: Curves with many rational points. Several articles describe main approaches to the construction of such curves: the Drinfeld modules and fiber product methods, the moduli space approach, and the constructions using classical curves. Secondly, monodromy groups of characteristic $p$ covers - a number of authors presented the results and conjectures related to the study of the monodromy groups of curves over finite fields. In particular, they study the monodromy groups from genus 0 covers, reductions of covers, and explicit computation of monodromy groups over finite fields. And finally, Zeta functions and trace formulas - to a large extent, papers devoted to this topic reflect the contributions of Professor Bernard Dwork and his students.