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20062022
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math.AG2020

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…

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.AG2018

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…

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…

math.AG2006

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…