Principal bundles on projective varieties and the Donaldson-Uhlenbeck compactification

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dc.creatorBalaji, V.
dc.date2005-05-06
dc.date.accessioned2026-07-07T05:19:40Z
dc.date.available2026-07-07T05:19:40Z
dc.descriptionLet $H$ be a semisimple algebraic group. We prove the semistable reduction theorem for $μ$--semistable principal $H$--bundles over a {\it smooth projective variety $X$} defined over the field $\bc$. When $X$ is a {\it smooth projective surface} and $H$ is simple, we construct the algebro--geometric Donaldson--Uhlenbeck compactification of the moduli space of $μ$--semistable principal $H$--bundles with fixed characteristic classes and describe its points. For large characteristic classes we show that the moduli space of $μ$--stable principal $H$--bundles is non--empty.
dc.description46 pages
dc.identifierhttps://arxiv.org/abs/math/0505106
dc.identifierhttp://arxiv.org/abs/math/0505106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75103
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.titlePrincipal bundles on projective varieties and the Donaldson-Uhlenbeck compactification
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