Special divisors on curves on K3 surfaces carrying an Enriques involution
arXiv:1607.01410 · doi:10.1007/s00229-016-0888-1
Abstract
We study the pencils of minimal degree on the smooth curves lying on a K3 surface X which carries a fixed-point free involution. Generically, the gonality of these curves is totally governed by the genus 1 fibrations of X
8 pages; simplified and shortened exposition; to appear in Manuscr. Math