Youngook Choi

activity

20222026

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math.AG2025

Decomposition of the Tschirnhausen module for coverings on decomposable $P^{1}$ -bundles

Youngook Choi, Hristo Iliev, Seonja Kim

In this note, we show that for a smooth algebraic variety $Y$ and a smooth $m$ -section $X$ of the $P^{1}$ -bundle \[ f : \mathbb{P}(\mathcal{O}_Y \oplus \mathcal{O}_Y(E)) \lo…

math.AG2025

On the Tschirnhausen module of coverings of curves on decomposable ruled surfaces and applications

Youngook Choi, Hristo Iliev, Seonja Kim

We show that for two classes of $m$ -secant curves $X \subset S$ , with $m \geq 2$ , where $f : S = P (O_{Y} \oplus O_{Y} (E)) \to Y$ and $E$ is a non-special…

math.AG2025

Complete classification of irreducible components of the Brill-Noether locus of rank- $2$ vector bundles of degree $d$ and speciality $2$ on a general $ν$ -gonal curve

Youngook Choi, Flaminio Flamini, Seonja Kim

This paper replaces the previous longer version and focuses on the specialty $2$ case. More precisely, in this paper we address the Brill-Noether theory for rank-two, degree $d$ st…

Decomposition of the Tschirnhausen module for coverings on decomposable P1-bundles

On the Tschirnhausen module of coverings of curves on decomposable ruled surfaces and applications

Complete classification of irreducible components of the Brill-Noether locus of rank-2 vector bundles of degree d and speciality 2 on a general ν-gonal curve

Decomposition of the Tschirnhausen module for coverings on decomposable $P^{1}$ -bundles

Complete classification of irreducible components of the Brill-Noether locus of rank- $2$ vector bundles of degree $d$ and speciality $2$ on a general $ν$ -gonal curve