4 citations · 8 across the 10 of their papers we have counts for
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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 .
On families of rational curves in the Hilbert square of a surface (with an Appendix by Edoardo Sernesi)
Flaminio Flamini, Andreas Leopold Knutsen, Gianluca Pacienza +1
Under natural hypotheses we give an upper bound on the dimension of families of singular curves with hyperelliptic normalizations on a surface S with p_g(S) >0 via the study of the…