%0 Journal Article
%A Sols, Ignacio
%A Gómez, Tomás L.
%T Projective moduli space of semistable principal sheaves for a reductive group.
%D 2000
%@ 0373-3505
%U https://hdl.handle.net/20.500.14352/58401
%X 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.
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