53 citations · 177 across the 48 of their papers we have counts for
4 papers · 1 filter
Curves and line bundles on Del Pezzo surfaces
Andreas Leopold Knutsen
We extend the results of Pareschi on the constancy of the gonality and Clifford index of smooth curves in a complete linear system on Del Pezzo surfaces of degrees to the…
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.
Smooth, isolated curves in families of Calabi-Yau threefolds in homogeneous spaces
Andreas Leopold Knutsen
We show the existence of smooth isolated curves of different degrees and genera in Calabi-Yau threefolds that are complete intersections in homogeneous spaces. Along the way, we cl…
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…