On Clifford dimension for singular curves
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 2.
Details
| Title: | On Clifford dimension for singular curves |
| Subjects: | Mathematics |
| More Details: | View PDF |
| Report Article: | Report |
Submission History
From:
Ankita Sinha Ray
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Date of Publication:
July 21, 2025, 1:15 p.m. UTC