On Clifford dimension for singular curves
Algebraic Geometry
2025-07-21 v1
Abstract
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 arbitrary curves, and then focus on the monomial case. In this context, we obtain combinatorial formulae for the Clifford index and apply them to the case of Clifford dimension .
Keywords
Cite
@article{arxiv.2507.13506,
title = {On Clifford dimension for singular curves},
author = {Lia Feital and Naamã Galdino and Renato Vidal Martins and Átila Felipe de Souza},
journal= {arXiv preprint arXiv:2507.13506},
year = {2025}
}
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23 pages