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.
Calabri, A., Ciliberto, C., Flamini, F., Miranda, R. (2009). Brill-Noether theory and non-special scrolls. GEOMETRIAE DEDICATA, 129(1), 121-1138 [10.1007/s10711-008-9319-0].
Brill-Noether theory and non-special scrolls
CILIBERTO, CIRO;FLAMINI, FLAMINIO;
2009-01-01
Abstract
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.File in questo prodotto:
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