Holomorphic Principal Bundles Over Elliptic Curves II: The Parabolic Construction

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dc.creatorFriedman, Robert
dc.creatorMorgan, John W.
dc.date2000-06-22
dc.date2001-03-14
dc.date.accessioned2026-07-07T04:36:03Z
dc.date.available2026-07-07T04:36:03Z
dc.descriptionThis paper continues the study of holomorphic semistable principal G-bundles over an elliptic curve. In this paper, the moduli space of all such bundles is constructed by considering deformations of a minimally unstable G-bundle. The set of all such deformations can be described as the C^* quotient of the cohomology group of a sheaf of unipotent groups, and we show that this quotient has the structure of a weighted projective space. We identify this weighted projective space with the moduli space of semistable G-bundles, giving a new proof of a theorem of Looijenga.
dc.descriptionLaTeX, 63 pages, new section 4.6, several minor changes
dc.identifierhttps://arxiv.org/abs/math/0006174
dc.identifierhttp://arxiv.org/abs/math/0006174
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59461
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.titleHolomorphic Principal Bundles Over Elliptic Curves II: The Parabolic Construction
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