On the moduli space of rank 3 vector bundles on a genus 2 curve and the Coble cubic

DOI10.1090/S1056-3911-04-00387-XzbMath1075.14031MaRDI QIDQ4675874

Angela Ortega

Publication date: 6 May 2005

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

zbMATH Keywords

Jacobianmoduli spacevector bundledual variety

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Vector bundles on curves and their moduli (14H60) Hypersurfaces and algebraic geometry (14J70)

Related Items

VECTOR BUNDLES, DUALITIES AND CLASSICAL GEOMETRY ON A CURVE OF GENUS TWO, Scaling of conformal blocks and generalized theta functions over \(\overline{\mathcal {M}}_{g,n}\), THE HYPERELLIPTIC THETA MAP AND OSCULATING PROJECTIONS, Local structure of \(\mathcal {SU}(3)\) for a curve of genus 2, Lectures on Bridgeland Stability, The geometry of the Coble cubic and orbital degeneracy loci, COHERENT SYSTEMS AND MODULAR SUBAVRIETIES OF $\mathcal{SU}_C(r)$, Genus 2 curves and generalized theta divisors, Invariant theory of \(\bigwedge^3(9)\) and genus-2 curves, Alternating trilinear forms on a nine-dimensional space and degenerations of (3, 3)-polarized Abelian surfaces, A structure theorem for 𝒮𝒰_{𝒞}(2) and the moduli of pointed rational curves

Cites Work

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• Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques. (Picard groups of moduli varieties of semi- stable bundles on algebraic curves)
• A family of abelian surfaces and curves of genus four
• Prym varieties associated with \(n\)-cyclic coverings of a hyperelliptic curve
• Local structure of the moduli space of vector bundles over curves
• Stable bundles of rank 2 and odd degree over a curve of genus 2
• On the equations defining Abelian varieties. I-III
• Fibrés de rang 2 sur une courbe, fibré déterminant et fonctions thêta
• Spectral curves and the generalised theta divisor.
• Prym Varieties and the Moduli of Spin Bundles
• Sections des fibrés vectoriels sur une courbe
• Vector bundles on curves and generalized theta functions: recent results and open problems