Pencils of small degree on curves on unnodal Enriques surfaces

Abstract

We use vector-bundle techniques in order to compute $\dim W_d^1(C)$ where $C$ is general and smooth in a linear system on an unnodal Enriques surface. We furthermore find new examples of smooth curves on Enriques surfaces with an infinite number of $g^1_{\gon(C)}$'s.

16 pages. Fixed minor error in introduction and Remark 4.3. Added a sentence to the proof of Proposition 3.3 (a)

References in corpus (1)

• Brill-Noether theory of curves on Enriques surfaces, II. The Clifford index

Cited by in corpus (1)

• Lazarsfeld-Mukai bundles and applications