2 papers
math.AG2026
On the -number of Fermat type function fields and some of their subfields
Marie Frank vom Braucke
The -number of a function field is the dimension of the kernel of the Cartier operator acting on the holomorphic differentials of . We compute the action of the Cartier o…
math.AG2026
On Weierstrass semigroups of maximal Fermat function fields
Peter Beelen, Maria Montanucci, Marie Frank vom Braucke
In this article we explicitly determine the Weierstrass semigroup at any place of some -maximal Fermat function fields , namely for and…