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Projective moduli space of semistable principal sheaves for a reductive group | Tomas L. Gomez
; Ignacio Sols
; | Date: |
11 Dec 2001 | Subject: | Algebraic Geometry MSC-class: 14D22; 14D20 | math.AG | Abstract: | Let X be a smooth projective complex variety, and let G be an algebraic reductive complex group. We define the notion of principal G-sheaf, that generalises the notion of principal G-bundle. Then we define a notion of semistability, and construct the projective moduli space of semistable principal G-sheaves on X. This is a natural compactification of the moduli space of principal G-bundles. This is the announcement note presented by the second author in the conference held at Catania (11-13 April 2001), dedicated to the 60th birthday of Silvio Greco. Detailed proofs will appear elsewhere. | Source: | arXiv, math.AG/0112096 | Services: | Forum | Review | PDF | Favorites |
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