Sotiris Karanikolopoulos

activity

20092025

most citedAutomorphisms of Curves and Weierstrass semigroups

2 citations · 2 across the 5 of their papers we have counts for

collaborators

7 papers

math.AG2025

An Arithmetic Topology viewpoint on Descent theory and Equivariant Categories

Miltiadis Karakikes, Sotiris Karanikolopoulos, Aristides Kontogeorgis +1

We establish a unified group-theoretic framework bridging the arithmetic homotopy exact sequence of a variety and the Birman exact sequence of a surface. Within this framework, we…

math.AG2021

The equivariant Hilbert series of the canonical ring of Fermat curves

Hara Charalambous, Kostas Karagiannis, Sotiris Karanikolopoulos +1

We consider a Fermat curve $F_{n} : x^{n} + y^{n} + z^{n} = 1$ over an algebraically closed field $k$ of characteristic $p \geq 0$ and study the action of the automorphism group $G=\left(\mathbb{Z}/…

math.AG2013

Automorphisms of Curves and Weierstrass semigroups for Harbater-Katz-Gabber covers

Sotiris Karanikolopoulos, Aristides Kontogeorgis

We study $p$ -group Galois covers $X \to P^{1}$ with only one fully ramified point. These covers are important because of the Katz-Gabber compactification of Galois a…

math.AG2012

Integral representations of cyclic groups acting on relative holomorphic differentials of deformations of curves with automorphisms

Sotiris Karanikolopoulos, Aristides Kontogeorgis

We study integral representations of holomorphic differentials on the Oort-Sekiguci-Suwa component of deformations of curves with cyclic group actions.

math.AG2011

Representations of cyclic groups in positive characteristic and Weierstrass semigroups

Sotiris Karanikolopoulos, Aristides Kontogeorgis

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…

math.AG2010★ 2 cited

Automorphisms of Curves and Weierstrass semigroups

Sotiris Karanikolopoulos, Aristides Kontogeorgis

The relation of the Weierstrass semigroup with several invariants of a curve is studied. For Galois covers of curves with group $G$ we introduce a new filtration of the group decom…

math.AG2009

On holomorphic polydifferentials in positive characteristic

Sotiris Karanikolopoulos

In this paper we study the space $Ω (m)$ , of holomorphic $m$ -(poly)differentials of a function field of a curve defined over an algebraically closed field of characteristic $p > 0$ wh…