A stratification on the moduli spaces of symplectic and orthogonal bundles over a curve

DOI10.1142/S0129167X14500475zbMath1314.14061arXiv1204.0834MaRDI QIDQ2874723

George H. Hitching, Insong Choe

Publication date: 8 August 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.0834

zbMATH Keywords

vector bundlealgebraic curvesymplectic and orthogonal structures

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60)

Related Items (8)

Non-defectivity of Grassmannian bundles over a curve ⋮ Unnamed Item ⋮ Segre invariant and a stratification of the moduli space of coherent systems ⋮ Maximal isotropic subbundles of orthogonal bundles of odd rank over a curve ⋮ Theta divisors of stable vector bundles may be nonreduced ⋮ Brill-Noether loci on moduli spaces of symplectic bundles over curves ⋮ Irreducibility of Lagrangian quot schemes over an algebraic curve ⋮ Isotropic Quot schemes of orthogonal bundles over a curve

Cites Work

• Unnamed Item
• Universal families of extensions
• Zur Klassifikation von Regelmannigfaltigkeiten
• Deformations of the moduli space of vector bundles over an algebraic curve
• Counting maximal subbundles via Gromov-Witten invariants
• Maximal subbundles of rank two vector bundles on curves
• Stable principal bundles on a compact Riemann surface
• Lagrangian subbundles of symplectic bundles over a curve
• Moduli spaces of orthogonal and symplectic bundles over an algebraic curve
• Moduli of rank 4 symplectic vector bundles over a curve of genus 2
• Subbundles of symplectic and orthogonal vector bundles over curves

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