12 citations · 23 across the 18 of their papers we have counts for
7 papers · 1 filter
Non-reduced components of the Hilbert scheme of curves using triple covers
Youngook Choi, Hristo Iliev, Seonja Kim
In this paper we consider curves on a cone that pass through the vertex and are also triple covers of the base of the cone, which is a general smooth curve of genus and degree…
Linear series on a curve of compact type bridged by a chain of elliptic curves
Youngook Choi, Seonja Kim
In the present paper we investigate conditions for the non-existence of a limit linear series on a curve of compact type such that two smooth curves are bridged by a chain of two e…
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…
Moduli spaces of bundles and Hilbert schemes of scrolls over -gonal curves
Youngook Choi, Flaminio Flamini, Seonja Kim
The aim of this paper is two--fold. We first strongly improve our previous main result Theorem 3.1 in Arxiv 1702.00918v3 12Feb2018 ("Brill-Noether loci of rank two vector bundles o…
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…
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…
Normal generation and Clifford index
Youngook Choi, Seonja Kim, Young Rock Kim
Let be a smooth curve of genus and Clifford index . In this paper, we prove that if is neither hyperelliptic nor bielliptic with and co…