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math.AG2025
On Enriques-Babbage Theorem for singular curves
Lia Feital, Naamã Galdino, Renato Vidal Martins +1
We propose a version of the Enriques-Babagge Theorem for a singular curve , involving its canonical model . We provide a partial proof for an arbitrary curve and complet…
math.AG2025
On Clifford dimension for singular curves
Lia Feital, Naamã Galdino, Renato Vidal Martins +1
We study the Clifford dimension of an integral curve. To do so, we extend the notion of Clifford index, allowing torsion-free sheaves on its computation. We derive results for arbi…
math.AG2017
Singular rational curves with points of nearly-maximal weight
Ethan Cotterill, Lia Feital, Renato Vidal Martins
In this article we study rational curves with a unique unibranch genus- singularity, which is of {\it $\ka$-hyperelliptic} type in the sense of \cite{To}; we focus on the cases…