9 citations · 11 across the 15 of their papers we have counts for
25 papers · 1 filter
A maximal function field of genus over
Peter Beelen, Maria Montanucci, Jonathan Niemann
In this article, we describe a new maximal function field over the finite field with elements and show that it cannot be obtained as a subfield of th…
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…
Non-isomorphic subfields of the BM and GGS maximal function fields
Peter Beelen, Tobias Drue, Maria Montanucci +1
In 2016 Tafazolian et al. introduced new families of -maximal function fields and arising as subfields of the first…
Weierstrass semigroups and automorphism group of a maximal function field with the third largest possible genus,
Peter Beelen, Maria Montanucci, Lara Vicino
In this article we complete the work started in arXiv:2303.00376v1 [math.AG] and arXiv:2404.18808v1 [math.AG], explicitly determining the Weierstrass semigroup at any place and the…
Intersection of irreducible curves and the Hermitian curve
Peter Beelen, Mrinmoy Datta, Maria Montanucci +1
Let denote the Hermitian curve in over and be an irreducible plane projective curve in also defined…
Weierstrass semigroups and automorphism group of a maximal function field with the third largest possible genus,
Peter Beelen, Maria Montanucci, Lara Vicino
In this article we continue the work started in arXiv:2303.00376v1, explicitly determining the Weierstrass semigroup at any place and the full automorphism group of a known $\mathb…