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8 papers · 1 filter
Moving curves and Seshadri constants
Andreas Leopold Knutsen, Wioletta Syzdek, Tomasz Szemberg
We study families of curves covering a projective surface and give lower bounds on the self-intersection of the members of such families, improving results of Ein-Lazarsfeld and Xu…
Brill-Noether theory of curves on Enriques surfaces I: the positive cone and gonality
Andreas Leopold Knutsen, Angelo Felice Lopez
We study the existence of linear series on curves lying on an Enriques surface and general in their complete linear system. Using a method that works also below the Bogomolov-Reide…
Nodal curves with general moduli on K3 surfaces
Flaminio Flamini, Andreas L. Knutsen, Gianluca Pacienza +1
We investigate the modular properties of nodal curves on a low genus K3 surface. We prove that a general genus g curve C is the normalization of a d-nodal curve X sitting on a prim…
Remarks on families of singular curves with hyperelliptic normalizations
Andreas Leopold Knutsen
We give restrictions on the existence of families of curves on smooth projective surfaces of nonnegative Kodaira dimension all having constant geometric genus and hy…
On two conjectures for curves on surfaces
Andreas Leopold Knutsen
We prove that the gonality among the smooth curves in a complete linear system on a surface is constant except for the Donagi-Morrison example. This was proved by Ciliberto an…
A note on Seshadri constants on general surfaces
Andreas Leopold Knutsen
We prove a lower bound on the Seshadri constant on a surface with $\Pic S \simeq \ZZ[L]$. In particular, we obtain that if for an integer .