Nils Henry Williams Rasmussen

most citedPencils of small degree on curves on unnodal Enriques surfaces

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.AG2015

Pencils and nets on curves arising from rank 1 sheaves on K3 surfaces

Nils Henry Rasmussen

Let $S$ be a K3 surface, $C$ a smooth curve on $S$ with $O_{S} (C)$ ample, and $A$ a base-point free $g_{d}^{2}$ on $C$ of small degree. We use Lazarsfeld--Mukai bundles to prov…

math.AG2015

Pencils and nets of small degree on curves on smooth, projective surfaces of Picard rank 1 and very ample generator

Nils Henry Rasmussen

Let S be a smooth, projective surface of Picard rank 1 and very ample generator embedding S into P^n. Let C be a smooth curve in O(m) for m \geq 5. We prove that any base-point fre…

math.AG2013★ 1 cited

Pencils of small degree on curves on unnodal Enriques surfaces

Nils Henry Rasmussen, Shengtian Zhou

We use vector-bundle techniques in order to compute $dim W_{d}^{1} (C)$ where $C$ is general and smooth in a linear system on an unnodal Enriques surface. We furthermore find new examp…