Peter Beelen

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math.AG2024

Intersection of irreducible curves and the Hermitian curve

Peter Beelen, Mrinmoy Datta, Maria Montanucci +1

Let $H_{q}$ denote the Hermitian curve in $P^{2}$ over $F_{q^{2}}$ and $C_{d}$ be an irreducible plane projective curve in $P^{2}$ also defined…

math.AG2024

Weierstrass semigroups and automorphism group of a maximal function field with the third largest possible genus, $q \equiv 1 (mod 3)$

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…

Intersection of irreducible curves and the Hermitian curve

Weierstrass semigroups and automorphism group of a maximal function field with the third largest possible genus, q≡1(mod3)

Weierstrass semigroups and automorphism group of a maximal function field with the third largest possible genus, $q \equiv 1 (mod 3)$