3 papers
math.AG2026
On periods and Jacobians of Heisenberg curves
Dimitrios Noulas
Heisenberg curves are cyclic covers of Fermat curves that also arise as non-abelian covers of the projective line, branched over three points by the discrete Heisenberg group modul…
math.NT2026
Distortion maps for elliptic curves over finite fields
Nikita Andrusov, Sevag BüyüksimkeÅyan, Dimitrios Noulas +3
The Weil pairing on elliptic curves has deep links with discrete logarithm problems. In practice, to better suit the functionalities of cryptosystems, one often needs to modify the…
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…