H. Iliev

activity

20182025

collaborators

Showing 2025Show all

2 papers · 1 filter

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…

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

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