3 papers
math.AG2025
An unusual family of supersingular curves of genus five in characteristic two
Dušan Dragutinović
We construct a family of smooth supersingular curves of genus in characteristic with several notable features: its dimension matches the expected dimension of any component…
math.AG2024
Oort's conjecture and automorphisms of supersingular curves of genus four
Dušan Dragutinović
We show that every component of the locus of smooth supersingular curves of genus in characteristic has a trivial generic automorphism group. As a result, we prove Oort's…
math.AG2022
Computing binary curves of genus five
Dušan Dragutinović
Genus 5 curves can be hyperelliptic, trigonal, or non-hyperelliptic non-trigonal, whose model is a complete intersection of three quadrics in . We present and explain…