COHERENT SYSTEMS ON ELLIPTIC CURVES
Copyright policy )COHERENT SYSTEMS ON ELLIPTIC CURVES
In this paper we consider coherent systems (E,V) on an elliptic curve which are α-stable with respect to some value of a parameter α. We show that the corresponding moduli spaces, if non-empty, are smooth and irreducible of the expected dimension. Moreover we give precise conditions for non-emptiness of the moduli spaces. Finally we study the variation of the moduli spaces with α.
- University of Erlangen-Nuremberg Germany
- University of Liverpool United Kingdom
Vector bundles on curves and their moduli, 14F05, 14H60;14F05;32L10, Sheaves, derived categories of sheaves, etc., 14H60, Mathematics - Algebraic Geometry, vector bundles on elliptic curves, Sheaves and cohomology of sections of holomorphic vector bundles, general results, 32L10, FOS: Mathematics, semistable vector bundle, Algebraic Geometry (math.AG)
Vector bundles on curves and their moduli, 14F05, 14H60;14F05;32L10, Sheaves, derived categories of sheaves, etc., 14H60, Mathematics - Algebraic Geometry, vector bundles on elliptic curves, Sheaves and cohomology of sections of holomorphic vector bundles, general results, 32L10, FOS: Mathematics, semistable vector bundle, Algebraic Geometry (math.AG)
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