Brill–Noether theory and non-special scrolls

Brill–Noether theory and non-special scrolls

In this paper we study the Brill–Noether theory of invertible subsheaves of a general, stable rank-two vector bundle on a curve C with general moduli. We relate this theory to the geometry of unisecant curves on smooth, non-special scrolls with hyperplane sections isomorphic to C . Most of our resul...

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Veröffentlicht in:Geometriae dedicata 2009-04, Vol.139 (1), p.121-138
Hauptverfasser: Calabri, Alberto, Ciliberto, Ciro, Flamini, Flaminio, Miranda, Rick
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Convex and Discrete Geometry
Differential Geometry
Hyperbolic Geometry
Mathematics
Mathematics and Statistics
Original Paper
Projective Geometry
Topology
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Zusammenfassung:In this paper we study the Brill–Noether theory of invertible subsheaves of a general, stable rank-two vector bundle on a curve C with general moduli. We relate this theory to the geometry of unisecant curves on smooth, non-special scrolls with hyperplane sections isomorphic to C . Most of our results are based on degeneration techniques.
ISSN:0046-5755
1572-9168
DOI:10.1007/s10711-008-9319-0