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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. 1037-1092.
ISSN 0003-486X

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Official URL: http://0-annals.math.princeton.edu.cisne.sim.ucm.es/wp-content/uploads/annals-v161-n2-p11.pdf

## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | Compact riemann surface; Unitary vector bundles; Algebraic-curves |

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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