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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.AG2022
On Gonality and Canonical Models of Unicuspidal Rational Curves
Naamã Galdino, Renato Vidal Martins, Danielle Nicolau
We study the gonality and canonical model of a rational unicuspidal curve C. We are mainly interested in the case where C is non-Gorenstein. We classify such curves via different n…