Master Spaces for stable pairs

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dc.creatorOkonek, Christian
dc.creatorSchmitt, Alexander
dc.creatorTeleman, Andrei
dc.date1996-07-17
dc.date1997-01-17
dc.date.accessioned2026-07-07T09:01:44Z
dc.date.available2026-07-07T09:01:44Z
dc.descriptionWe construct master spaces for oriented torsion free sheaves coupled with morphisms into a fixed reference sheaf. These spaces are projective varieties endowed with a natural $\C^*$-action. The fixed point set of this action contains the moduli space of semistable oriented torsion free sheaves and the quot scheme associated with the given data. In the case of curves with trivial reference sheaf, our master spaces compactify the moduli spaces constructed by Bertram, Daskalopoulos and Wentworth. In the 2-dimensional case with trivial rank 1 reference sheaf, master spaces provide algebraic analoga of compactified moduli spaces of twisted quaternionic monopoles.
dc.description26 pages. New introduction and applications LaTeX2e
dc.identifierhttps://arxiv.org/abs/alg-geom/9607015
dc.identifierhttp://arxiv.org/abs/alg-geom/9607015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148380
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.titleMaster Spaces for stable pairs
dc.typetext

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