Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Aristides Kontogeorgis"'
Publikováno v:
Annales de l'Institut Fourier. 73:1085-1113
Autor:
Aristides, Kontogeorgis
We apply the known results on the Galois module structure of the sheaf of polydifferentials in order to study the dimension of the tangent space of the deformation functor of curves with automorphisms. We are able to find the dimension for the case o
Externí odkaz:
http://arxiv.org/abs/math/0610982
We use rigid analytic uniformization by Schottky groups to give a bound for the order of the abelian subgroups of the automorphism group of a Mumford curve in terms of its genus.
Comment: 9 pages. This paper replaces v1 which has been splitted i
Comment: 9 pages. This paper replaces v1 which has been splitted i
Externí odkaz:
http://arxiv.org/abs/math/0604099
We construct configuration spaces for cyclic covers of the projective line that admit extra automorphisms and we describe the locus of curves with given automorphism group. As an application we provide examples of arbitrary high genus that are define
Externí odkaz:
http://arxiv.org/abs/math/0604100
Publikováno v:
Journal of Knot Theory and Its Ramifications.
Publikováno v:
Advances in Geometry. 22:445-450
We present a necessary and sufficient condition for a maximal curve, defined over the algebraic closure of a finite field, to be realised as an HKG-cover. We use an approach via pole numbers in a rational point of the curve. For this class of curves,
Publikováno v:
Journal of Number Theory. 216:1-68
Let $X$ be a smooth projective geometrically irreducible curve over a perfect field $k$ of positive characteristic $p$. Suppose $G$ is a finite group acting faithfully on $X$ such that $G$ has non-trivial cyclic Sylow $p$-subgroups. We show that the
Publikováno v:
Computer Algebra in Scientific Computing ISBN: 9783031147876
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d381b811e43c3626c2fbbba8cfb169e0
https://doi.org/10.1007/978-3-031-14788-3_6
https://doi.org/10.1007/978-3-031-14788-3_6
Publikováno v:
Indagationes Mathematicae. 34:198
Publikováno v:
Geometriae Dedicata. 207:311-334
We use tools from combinatorial group theory in order to study actions of three types on groups acting on a curve, namely the automorphism group of a compact Riemann surface, the mapping class group acting on a surface (which now is allowed to have s