RT Journal Article
T1 Moduli space of principal sheaves over projective varieties
A1 Sols Lucía, Ignacio
A1 Gómez, Tomás L.
AB 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.
PB Princeton University
SN 0003-486X
YR 2005
FD 2005-03
LK https://hdl.handle.net/20.500.14352/50519
UL https://hdl.handle.net/20.500.14352/50519
LA eng
DS Docta Complutense
RD 16 abr 2025