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
16
Brivio, S. (2017). Families of vector bundles and linear systems of theta divisors. INTERNATIONAL JOURNAL OF MATHEMATICS, 28(6) [10.1142/S0129167X17500392].
File in questo prodotto:
File Dimensione Formato  
Families.pdf

Solo gestori archivio

Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 243.67 kB
Formato Adobe PDF
243.67 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/154650
Citazioni
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 5
Social impact