Local structure of the moduli space of vector bundles over curves

DOI10.1007/BF02566426zbMath0949.14015arXivalg-geom/9405012OpenAlexW2027250190MaRDI QIDQ1816437

Yves Laszlo

Publication date: 19 December 1996

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9405012

zbMATH Keywords

multiplicitysingular locustangent conesKummer varietyCoble quarticconnected curvelength of the polystable bundlelocal ring at a singular pointmoduli space of semi-stable vector bundlesmultiplicity of a generalized theta divisor

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Algebraic moduli problems, moduli of vector bundles (14D20) Jacobians, Prym varieties (14H40) Vector bundles on curves and their moduli (14H60) Theta functions and curves; Schottky problem (14H42)

Related Items (11)

VECTOR BUNDLES, DUALITIES AND CLASSICAL GEOMETRY ON A CURVE OF GENUS TWO ⋮ Local structure of \(\mathcal {SU}(3)\) for a curve of genus 2 ⋮ Compactification of the moduli space of minimal instantons on the Fano threefold \(V_4\) ⋮ Self-duality of Coble's quartic hypersurface and applications. ⋮ Compactification of the moduli space of minimal instantons on the Fano 3-fold \(V_5\) ⋮ RANK FOUR SYMPLECTIC BUNDLES WITHOUT THETA DIVISORS OVER A CURVE OF GENUS TWO ⋮ Intersection cohomology of pure sheaf spaces using Kirwan's desingularization ⋮ The Coble hypersurfaces ⋮ COHERENT SYSTEMS AND MODULAR SUBAVRIETIES OF $\mathcal{SU}_C(r)$ ⋮ On the moduli space of rank 3 vector bundles on a genus 2 curve and the Coble cubic ⋮ On the Coble quartic and Fourier–Jacobi expansion of theta relations

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