3 papers
math.AG2019
Galois action on homology of generalized Fermat Curves
Aristides Kontogeorgis, Panagiotis Paramantzoglou
The fundamental group of Fermat and generalized Fermat curves is computed. These curves are Galois ramified covers of the projective line with abelian Galois groups . We provide…
math.AG2019
A non-commutative differential module approach to Alexander modules
Aristides Kontogeorgis, Panagiotis Paramantzoglou
The theory of R. Crowell on derived modules is approached within the theory of non-commutative differential modules. We also seek analogies to the theory of cotangent complex from…
math.NT2018
Group Actions on cyclic covers of the projective line
Aristides Kontogeorgis, Panagiotis Paramantzoglou
We use tools from combinatorial group theory in order to study actions of three types on groups acting on a curve, namely the automorphism group of a compact Riemann surface, the m…