H. Iliev

collaborators

3 papers

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.AG2018

Components of the Hilbert Scheme of smooth projective curves using ruled surfaces

Youngook Choi, Hristo Iliev, Seonja Kim

Let $I_{d, g, r}$ be the union of irreducible components of the Hilbert scheme whose general points correspond to smooth irreducible non-degenerate curves of degree $d$ and…

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

Components of the Hilbert Scheme of smooth projective curves using ruled surfaces

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