The theta divisor of \(SU_ C(2,2d)^ s\) is very ample if \(C\) is not hyperelliptic

DOI10.1215/S0012-7094-96-08222-8zbMath0876.14024arXivalg-geom/9410021MaRDI QIDQ1919635

Sonia Brivio, Alessandro Verra

Publication date: 5 September 1996

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9410021

zbMATH Keywords

Picard groupgeneralized theta divisornonhyperelliptic curve

Mathematics Subject Classification ID

Theta functions and abelian varieties (14K25) Vector bundles on curves and their moduli (14H60)

Related Items (17)

Families of vector bundles and linear systems of theta divisors ⋮ Effective very ampleness for generalized theta divisors ⋮ On the theta divisor of SU(r; 1) ⋮ A TORELLI THEOREM FOR SPECIAL DIVISOR VARIETIES X ASSOCIATED TO DOUBLY COVERED CURVES ${\tilde C}/C$ ⋮ THE HYPERELLIPTIC THETA MAP AND OSCULATING PROJECTIONS ⋮ Unnamed Item ⋮ The theta divisor of \(SU_ C(2,2d)^ s\) is very ample if \(C\) is not hyperelliptic ⋮ Genus three curves and 56 nodal sextic surfaces ⋮ COHERENT SYSTEMS AND MODULAR SUBAVRIETIES OF $\mathcal{SU}_C(r)$ ⋮ Tangent vectors to Hecke curves on the moduli space of rank 2 bundles over an algebraic curve ⋮ ON THE THETA DIVISOR OF SU(2,1) ⋮ On the Hitchin system ⋮ LINEAR SERIES ON CURVES: STABILITY AND CLIFFORD INDEX ⋮ Edge and Fano on nets of quadrics ⋮ Examples of Fano varieties of index one that are not birationally rigid ⋮ Projective normality of the moduli space of rank $2$ vector bundles on a generic curve ⋮ A structure theorem for 𝒮𝒰_{𝒞}(2) and the moduli of pointed rational curves

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