%0 Journal Article
%A Sols Lucía, Ignacio
%A Gómez, Tomás L.
%T Moduli space of principal sheaves over projective varieties
%D 2005
%@ 0003-486X
%U https://hdl.handle.net/20.500.14352/50519
%X Let G be a connected reductive group. The late Ramanathan gave a notion of (semi)stable principal G-bundle on a Riemann surface and constructed a projective moduli space of such objects. We generalize Ramanathan's notion and construction to higher dimension, allowing also objects which we call semistable principal G-sheaves, in order to obtain a projective moduli space: a principal G-sheaf on a projective variety X is a triple (P, E, psi), where E is a torsion free sheaf on X, P is a principal G-bundle on the open set U where E is locally free and psi is an isomorphism between E vertical bar(U) and the vector bundle associated to P by the adjoint representation.
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