Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Sotiris Karanikolopoulos"'
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:
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:
Transactions of the American Mathematical Society. 371:6377-6402
We study p p -group Galois covers X → P 1 X \rightarrow \mathbb {P}^1 with only one fully ramified point in characteristic p > 0 p>0 . These covers are important because of the Harbater–Katz–Gabber compactification theorem of Galois actions on
We consider a Fermat curve $F_n:x^n+y^n+z^n=1$ over an algebraically closed field $k$ of characteristic $p\geq0$ and study the action of the automorphism group $G=\left(\mathbb{Z}/n\mathbb{Z}\times\mathbb{Z}/n\mathbb{Z}\right)\rtimes S_3$ on the cano
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::88237c66f40325bd7dd421c9a18562cb
Publikováno v:
Proceedings of the American Mathematical Society. 142:2369-2383
We study integral representations of holomorphic differentials on the Oort-Sekiguci-Suwa component of deformations of curves with cyclic group actions.
Comment: 12 pages 1 figure
Comment: 12 pages 1 figure
Publikováno v:
Journal of Number Theory. 133(1):158-175
We study the k[G]-module structure of the space of holomorphic differentials of a curve defined over an algebraically closed field of positive characteristic, for a cyclic group G of order pℓn. We also study the relation to the Weierstrass semigrou
Autor:
Sotiris Karanikolopoulos
Publikováno v:
Mathematische Nachrichten. 285:852-877
In this paper we study the space $\Omega(m)$, of holomorphic $m$-(poly)differentials of a function field of a curve defined over an algebraically closed field of characteristic $p>0$ when $G$ is cyclic or elementary abelian group of order $p^n$; we g