Algebraic Curves over Finite Fields

Algebraic Curves over Finite Fields

This thesis surveys the issue of finding rational points on algebraic curves over finite fields. Since Goppa's construction of algebraic geometric codes, there has been great interest in finding curves with many rational points. Here we explain the main tools for finding rational points on a cu...

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Bibliographic Details
Main Author: Rovi, Carmen
Format: Others
Language:English
Published: Linköpings universitet, Matematiska institutionen 2010
Subjects:
Nullstellensatz
variety
rational function
Function field
Weierstrass gap Theorem
Ramification
Hurwitz genus formula
Kummer and Artin-Schreier extensions
Hasse-Weil bound
Goppa codes.
Algebra and geometry
Algebra och geometri
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-56761

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http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-56761

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