Non-special scrolls with general moduli
Alberto Calabri, Ciro Ciliberto, Flaminio Flamini, Rick Miranda
TL;DR
This paper investigates smooth, non-special scrolls with general moduli, focusing on the scheme of unisecant curves, using degeneration techniques to analyze their properties.
Contribution
It provides new insights into the structure of unisecant curves on non-special scrolls with general moduli, employing degeneration methods.
Findings
Characterization of unisecant curves on non-special scrolls
Application of degeneration techniques to study moduli
New results on the scheme of unisecant curves
Abstract
In this paper we study smooth, non-special scrolls S of degree d, genus g, with general moduli. In particular, we study the scheme of unisecant curves of a given degree on S. Our approach is mostly based on degeneration techniques.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometry and complex manifolds