Stable pairs on curves and surfaces

Details Stable pairs on curves and surfaces Stable pairs on curves and surfaces

1992-11-09

arxiv.org/abs/alg-geom/9211001v2

Mathematics

Algebraic Geometry

37 pages, LaTeX Version 2.09, MPI-92-093

Scientific paper

We describe stability conditions for pairs consisting of a coherent sheaf and a homomorphism to a fixed coherent sheaf on a projective variety. The corresponding moduli spaces are constructed for pairs on curves and surfaces. We consider two examples. The fixed sheaf is the structure sheaf or is a vector bundle on a divisor, i.e. Higgs pairs or framed bundles, resp. (unencoded version)

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