3 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 over an algebraically closed field of characteristic and study the action of the automorphism group $G=\left(\mathbb{Z}/…
math.AG2011
Representations of cyclic groups in positive characteristic and Weierstrass semigroups
Sotiris Karanikolopoulos, Aristides Kontogeorgis
We study the -module structure of the space of holomorphic differentials of a curve defined over an algebraically closed field of positive characteristic, for a cyclic group…