Marc Coppens

collaborators

3 papers

math.AG2026

Smoothness results for the schemes of special divisors on general k-gonal curves

Marc Coppens

For a general $k$ -gonal curve $C$ with a morphism $f : C \to P^{1}$ of degree $k$ , we consider the refinement of the Brill-Noether schemes $W_{d}^{r} (C)$ by means of the…

math.AG2025

A picture of the irreducible components of $W_{d}^{r} (C)$ for a general $k$ -gonal curve $C$

Marc Coppens

Based on results on Hurwitz-Brill-Noether theory obtained by H. Larson we give a picture of the irreducible components of $W_{d}^{r} (C)$ for a general $k$ -gonal curve of genus $g$ . Thi…

math.CO2025

A study of H. Martens' Theorem on chains of cycles

Marc Coppens

Let $I^$ be a chain of cycles of genus $g$ . Let $d$ , $r$ be integers with $1 \leq r \leq g - 2$ and $2 r \leq d \leq g - 3 + r$ . Then $w_{d}^{r} (I^) = d - 2 r$ implies $I^$ is hyperelliptic. For eac…

Smoothness results for the schemes of special divisors on general k-gonal curves

A picture of the irreducible components of Wdr​(C) for a general k-gonal curve C

A study of H. Martens' Theorem on chains of cycles

A picture of the irreducible components of $W_{d}^{r} (C)$ for a general $k$ -gonal curve $C$