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Sols, Ignacio and Gómez, Tomás L. (2005) Moduli space of principal sheaves over projective varieties. Annals of Mathematics, 161 (2). pp. 10371092. ISSN 0003486X

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Official URL: http://0annals.math.princeton.edu.cisne.sim.ucm.es/wpcontent/uploads/annalsv161n2p11.pdf
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http://0annals.math.princeton.edu.cisne.sim.ucm.es/  Publisher 
Abstract
Let G be a connected reductive group. The late Ramanathan gave a notion of (semi)stable principal Gbundle 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 Gsheaves, in order to obtain a projective moduli space: a principal Gsheaf on a projective variety X is a triple (P, E, psi), where E is a torsion free sheaf on X, P is a principal Gbundle 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.
Item Type:  Article 

Uncontrolled Keywords:  Compact riemann surface; Unitary vector bundles; Algebraiccurves 
Subjects:  Sciences > Mathematics > Algebra 
ID Code:  20368 
Deposited On:  13 Mar 2013 16:27 
Last Modified:  03 Oct 2018 14:02 
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