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math.AG2001
Gonality and Clifford Index of curves on Surfaces
Andreas Leopold Knutsen
We show that every possible value for the Clifford index and gonality of a curve of a given genus on a surface occurs.
math.AG2001
K3 projective models in scrolls
Trygve Johnsen, Andreas Leopold Knutsen
We study the projective models of complex K3 surfaces polarized by a line bundle L such that all smooth curves in |L| have non-general Clifford index. Such models are in a natural…