Hecke curves and Hitchin discriminant

DOI10.1016/j.ansens.2004.07.001zbMath1073.14046arXivmath/0309056OpenAlexW2127799427WikidataQ102077822 ScholiaQ102077822MaRDI QIDQ4651832

S. Ramanan, Jun-Muk Hwang

Publication date: 22 February 2005

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309056

zbMATH Keywords

vector bundlesmoduli spacessmooth curves

Mathematics Subject Classification ID

Related Items (21)

Automorphism group of the moduli space of parabolic vector bundles with fixed degree ⋮ Uniform families of minimal rational curves on Fano manifolds ⋮ Lagrangian subbundles of symplectic bundles over a curve ⋮ Classification of the automorphism and isometry groups of Higgs bundle moduli spaces ⋮ Unnamed Item ⋮ Nonemptiness and smoothness of twisted Brill-Noether loci ⋮ On the Hilbert scheme of the moduli space of vector bundles over an algebraic curve ⋮ Bigness of the tangent bundles of projective bundles over curves ⋮ Minimal rational curves on the moduli spaces of symplectic and orthogonal bundles ⋮ NORMALISED TANGENT BUNDLE, VARIETIES WITH SMALL CODEGREE AND PSEUDOEFFECTIVE THRESHOLD ⋮ The Verlinde traces for \(SU_X(2,\xi )\) and blow-ups ⋮ A Torelli theorem for moduli spaces of principal bundles over a curve ⋮ Unramified covers and branes on the Hitchin system ⋮ A Riemann–Kempf singularity theorem for higher rank Brill–Noether loci ⋮ Critical loci for Higgs bundles ⋮ Minimal rational curves on moduli spaces of stable bundles ⋮ Automorphisms of moduli spaces of vector bundles over a curve ⋮ Theta divisors of stable vector bundles may be nonreduced ⋮ Base manifolds for fibrations of projective irreducible symplectic manifolds ⋮ Automorphism group of the moduli space of parabolic bundles over a curve ⋮ A Torelli theorem for moduli spaces of parabolic vector bundles over an elliptic curve

Cites Work

• Stable bundles and integrable systems
• Deformations of the moduli space of vector bundles over an algebraic curve
• Un analogue global du cône nilpotent. (A global analogue of the nilpotent cone)
• Birationality of the tangent map for minimal rational curves
• The automorphism group of the moduli space of semi stable vector bundles
• Tangent vectors to Hecke curves on the moduli space of rank 2 bundles over an algebraic curve
• Spectral curves and the generalised theta divisor.
• Finite morphisms onto Fano manifolds of Picard number 1 which have rational curves with trivial normal bundles
• On a Theorem of Torelli
• Projective manifolds dominated by abelian varieties
• Unnamed Item
• Unnamed Item
• Unnamed Item

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