RT Journal Article T1 Projective moduli space of semistable principal sheaves for a reductive group. A1 Sols Lucía, Ignacio A1 Gómez, Tomás L. AB 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. PB University of Catania SN 0373-3505 YR 2000 FD 2000 LK https://hdl.handle.net/20.500.14352/58401 UL https://hdl.handle.net/20.500.14352/58401 LA eng NO Dedicated to Silvio Greco on the occasion of his 60th birthday (Catania, 2001). NO Ministerio de Educación y Cultura (Spain) NO EAGER DS Docta Complutense RD 18 abr 2025