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arXiv · alg-geom/9211001

Stable pairs on curves and surfaces

Daniel Huybrechts·Manfred Lehn
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Abstract

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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Daniel Huybrechts, Manfred Lehn. 1992-11-12. Stable pairs on curves and surfaces. https://arxiv.org/abs/alg-geom/9211001

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