The Prym-canonical Clifford index
Algebraic Geometry
2026-02-10 v1
Abstract
We introduce two new invariants of Prym curves, the Prym-canonical Clifford index and the Prym-canonical Clifford dimension. The former is a nonnegative integer (according to Prym-Clifford's theorem), while the latter is a pair of nonnegative ordered integers. We classify Prym curves with Prym-canonical Clifford index equal to 0,1,2. By specialization to hyperelliptic curves, we compute the Prym-canonical Clifford index of a general Prym curve and show that its Prym-canonical Clifford dimension is (0,0).
Cite
@article{arxiv.2602.07232,
title = {The Prym-canonical Clifford index},
author = {Margherita Lelli-Chiesa and Martina Miseri},
journal= {arXiv preprint arXiv:2602.07232},
year = {2026}
}
Comments
24 pages, comments are very welcome!