Local structure of the moduli space of vector bundles over curves
Copyright policy )Local structure of the moduli space of vector bundles over curves
We analyze the local structure of the moduli space of semi-stable bundles on a curve. In particular, a complete description of the local structure is given in the rank 2 case. We obtain as a corollary of this analysis new results about the Kummer variety and the Coble quartic associated to a canonical genus 3 curve.
21 pages, PlainTex
- DigiZeitschriften Germany
- École Normale Supérieure France
multiplicity of a generalized theta divisor, moduli space of semi-stable vector bundles, Vector bundles on curves and their moduli, connected curve, length of the polystable bundle, singular locus, Article, Coble quartic, Kummer variety, Mathematics - Algebraic Geometry, 510.mathematics, Algebraic moduli problems, moduli of vector bundles, FOS: Mathematics, Theta functions and curves; Schottky problem, multiplicity, tangent cones, Families, moduli of curves (algebraic), local ring at a singular point, Jacobians, Prym varieties, Algebraic Geometry (math.AG)
multiplicity of a generalized theta divisor, moduli space of semi-stable vector bundles, Vector bundles on curves and their moduli, connected curve, length of the polystable bundle, singular locus, Article, Coble quartic, Kummer variety, Mathematics - Algebraic Geometry, 510.mathematics, Algebraic moduli problems, moduli of vector bundles, FOS: Mathematics, Theta functions and curves; Schottky problem, multiplicity, tangent cones, Families, moduli of curves (algebraic), local ring at a singular point, Jacobians, Prym varieties, Algebraic Geometry (math.AG)
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