5 papers
Decomposition of the Tschirnhausen module for coverings on decomposable -bundles
Youngook Choi, Hristo Iliev, Seonja Kim
In this note, we show that for a smooth algebraic variety and a smooth -section of the -bundle \[ f : \mathbb{P}(\mathcal{O}_Y \oplus \mathcal{O}_Y(E)) \lo…
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 -secant curves , with , where and is a non-special…
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…
Components of the Hilbert Scheme of smooth projective curves using ruled surfaces II: existence of non-reduced components
Youngook Choi, Hristo Iliev, Seonja Kim
For and , we construct a family of curves lying on cones in over smooth non-degenerate curves of genus and…
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…