The Prym-canonical Clifford index

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Margherita Lelli–Chiesa, Martina Miseri
DOI: 10.48550/arxiv.2602.07232
Cited by: 0

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).

Fields of Study & Subjects

Algebraic Geometry and Number Theory Advanced Algebra and Geometry Commutative Algebra and Its Applications

Publication details

Journal / source
arXiv (Cornell University)
Publication date
6 February 2026
Language
EN
Document type
Preprint