Theta divisors of stable vector bundles may be nonreduced

DOI10.1007/s10711-014-9988-9zbMath1346.14093arXiv1211.1064OpenAlexW2013771014MaRDI QIDQ2516429

Christian Pauly, George H. Hitching

Publication date: 3 August 2015

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.1064

zbMATH Keywords

stable vector bundlegeneralized theta divisorsymplectic vector bundle

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Vector bundles on curves and their moduli (14H60)

Related Items (1)

Brill-Noether loci on moduli spaces of symplectic bundles over curves

Cites Work

• Secant varieties and Hirschowitz bound on vector bundles over a curve
• A Riemann theorem for the theta divisors on moduli spaces of stable fibre bundles over a curve
• Some stable vector bundles with reducible theta divisor
• Families of maximal subbundles of stable vector bundles on curves.
• Maximal subbundles of rank two vector bundles on curves
• Symmetric products of an algebraic curve
• A stratification on the moduli spaces of symplectic and orthogonal bundles over a curve
• RANK FOUR SYMPLECTIC BUNDLES WITHOUT THETA DIVISORS OVER A CURVE OF GENUS TWO
• Hecke curves and Hitchin discriminant
• On a conjecture of Lange
• An isomorphism between moduli spaces of abelian varieties
• Sections des fibrés vectoriels sur une courbe
• Vector bundles on curves and generalized theta functions: recent results and open problems
• Subbundles of symplectic and orthogonal vector bundles over curves
• Vector bundles and theta functions on curves of genus 2 and 3

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