Let C be a smooth complex projective curve of genus g ≥ 2 and let p ∈ C be a point. From Hecke correspondence, any stable bundle on C of rank r and determinant OC(p) defines a rational family of semistable vector bundles on C of rank r and trivial determinant. In this paper, we study linear systems of theta divisors associated to these families.

Brivio, S. (2017). Families of vector bundles and linear systems of theta divisors. INTERNATIONAL JOURNAL OF MATHEMATICS, 28(6) [10.1142/S0129167X17500392].

Families of vector bundles and linear systems of theta divisors

BRIVIO, SONIA
Primo
2017

Abstract

Let C be a smooth complex projective curve of genus g ≥ 2 and let p ∈ C be a point. From Hecke correspondence, any stable bundle on C of rank r and determinant OC(p) defines a rational family of semistable vector bundles on C of rank r and trivial determinant. In this paper, we study linear systems of theta divisors associated to these families.
Articolo in rivista - Articolo scientifico
Vector bundles; theta divisors.
English
2017
2017
28
6
1750039
reserved
Brivio, S. (2017). Families of vector bundles and linear systems of theta divisors. INTERNATIONAL JOURNAL OF MATHEMATICS, 28(6) [10.1142/S0129167X17500392].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/154650
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