13 citations · 55 across the 41 of their papers we have counts for
54 papers
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…
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…
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…
The de Rham cohomology of covers with cyclic -Sylow subgroup
Jędrzej Garnek, Aristides Kontogeorgis
Let be a smooth projective curve over a field with an action of a finite group . A well-known result of Chevalley and Weil describes the -module structure of cohom…
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…
Galois Action on Homology of the Heisenberg Curve
Aristides Kontogeorgis, Dimitrios Noulas
The Heisenberg curve is defined topologically as a cover of the Fermat curve and corresponds to an extension of the projective line minus three points by the non-abelian Heisenberg…