Special scrolls whose base curve has general moduli
A. Calabri, C. Ciliberto, F. Flamini, R. Miranda
TL;DR
This paper investigates the Hilbert scheme of certain special scrolls with general moduli, focusing on their geometric properties under specific conditions on degree, genus, and speciality.
Contribution
It provides new insights into the structure and properties of the Hilbert scheme of special scrolls with general moduli, under particular assumptions.
Findings
Characterization of the Hilbert scheme components for special scrolls
Conditions for smoothness and normality of these scrolls
Relationships between degree, genus, and speciality in the moduli space
Abstract
In this paper we study the Hilbert scheme of smooth, linearly normal, special scrolls under suitable assumptions on degree, genus and speciality.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Finite Group Theory Research