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Title: An upper bound for the genus of a curve without points of small degree
Keywords: Rational points on curves over finite fields
Class field theory
Issue Date: 16-Feb-2012
Abstract: In this paper we prove that for any prime p and for any p-power q there is a constant C_p > 0 such that for any n > 0 there is a smooth, projective, absolutely irreducible curve over F_q of genus g ≤ C q^n without points of degree smaller than n.
Description: Phd thesis
Research interests: Number theory, arithmetic geometry, coding theory
Skills short description: My mathematic background as undergraduate student was essentially about algorithmic and combinatorics. In my Phd my interests turned in coding theory, cryptography and arithmetıc geometry.
Personal skills keywords: Algorithmic
Coding theory (algebraic geometry codes).
Arithmetic geometry

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