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.
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