2 papers
math.NT2026
Hopf-Galois Structures on Extensions Arising from Division Points on Elliptic Curves
Leolin Nkuete
We provide a general construction of infinite Hopf-Galois extensions from a direct system of finite Hopf-Galois extensions. We then apply this framework to extensions generated by…
math.NT2025
Maximal curves of genus 5 over finite fields
Leolin Nkuete, Antigona Pajaziti, Hamide Suluyer +1
A maximal curve over a finite field is a curve whose number of points reaches the upper Hasse-Weil-Serre bound. We define the discriminant of as $d(\mat…