On large automorphism groups of algebraic curves in positive characteristic
نویسنده
چکیده
In his investigation on large K-automorphism groups of an algebraic curve, Stichtenoth obtained an upper bound on the order of the first ramification group of an algebraic curve X defined over an algebraically closed field of characteristic p. Stichtenoth’s bound has raised the problem of classifying all K-automorphism groups G of X with the following property: There is a point P ∈ X for which |G (1) P | > p p − 1 g. (1) Such a classification is obtained here by proving Theorem 1.3
منابع مشابه
Darren Glass : Description of Current Research Interests Spring 2008
My research interests are generally in the areas of algebraic geometry, number theory, and Galois theory. My dissertation and some of the research at that time focussed on profinite Galois groups ([2]) and ε-constants associated to arithmetic schemes ([5], [6]), and I have continued this work with a more recent paper on the De Rham cohomology of elliptic curves ([9]). However, most of my recent...
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