3 papers
math.NT2025
Effective Artin-Schreier-Witt theory for curves
Christophe Levrat, Rubén Muñoz--Bertrand
We present an algorithm which, given a connected smooth projective curve over an algebraically closed field of characteristic and its Hasse--Witt matrix, as well as a pos…
math.AG2023
Curves are algebraic : theoretical and practical aspects
Christophe Levrat
We prove that any geometrically connected curve over a field is an algebraic , as soon as its geometric irreducible components have nonzero genus. This means that t…
math.AG2023
Computing the cohomology of constructible étale sheaves on curves
Christophe Levrat
We present an explicit expression of the cohomology complex of a constructible sheaf of abelian groups on the small étale site of an irreducible curve over an algebraically closed…