9 papers
Equivariant Koszul Cohomology of Canonical Curves
Kostas Karagiannis, Aristides Kontogeorgis, Konstantia Manousou Sotiropoulou
This paper investigates the representation-theoretic structure of the Koszul cohomology of a smooth projective variety over an algebraically closed field , admitting an acti…
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…
On cyclic groups covers of the projective line
George Katsimprakis, Aristides Kontogeorgis
This article extends the study of cyclic ramified covers of the projective line defined by Kummer equations. We consider the most general case of such covers, allowing arbitrary or…
On the de Rham cohomology of cyclic covers
Aristides Kontogeorgis, Orestis Lygdas
We compute explicit bases for the de Rham cohomology of cyclic covers of the projective line defined over an algebraically closed field of characteristic . For both Kummer…
An obstruction to the local lifting problem
Aristides Kontogeorgis, Alexios Terezakis
We are investigating the lifting problem for local actions involving semidirect products of a cyclic -group with a cyclic group prime to , where represents the characteri…
The canonical ideal and the deformation theory of curves with automorphisms
Aristides Kontogeorgis, Alexios Terezakis
The deformation theory of curves is studied by using the canonical ideal. The problem of lifting curves with automorphisms is reduced to a lifting problem of linear representations…