3 papers
math.AG2018
Components of the Hilbert Scheme of smooth projective curves using ruled surfaces
Youngook Choi, Hristo Iliev, Seonja Kim
Let be the union of irreducible components of the Hilbert scheme whose general points correspond to smooth irreducible non-degenerate curves of degree and…
math.AG2017
Brill-Noether loci of rank two vector bundles on a general -gonal curve
Youngook Choi, Flaminio Flamini, Seonja Kim
In this paper we study the Brill Noether locus of rank 2, (semi)stable vector bundles with at least two sections and of suitable degrees on a general -gonal curve. We classify i…
math.AG2008
Normal generation of line bundles on multiple coverings
Seonja Kim
Any line bundle $\cl $ on a smooth curve of genus with $°\cl \ge 2g+1$ is normally generated, i.e., $φ_\cl (C)\subseteq \mathbb P H^0 (C,\cl)$ is projectively normal. Howev…