3 papers
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
Stability conditions for coherent systems on Integral Curves
Marcos Jardim, Leonardo Roa-Leguizamón, Renato Vidal Martins
We present stability conditions for the category of coherent systems on an integral curve. We define a three-parameter family of pre-stability conditions in its derived category us…
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…