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Singular principal bundles over higher dimensional manifolds and their moduli spaces

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 نشر من قبل Alexander Schmitt
 تاريخ النشر 2002
  مجال البحث
والبحث باللغة English
 تأليف Alexander Schmitt




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In this note, we introduce the notion of a singular principal G-bundle, associated to a reductive algebraic group G over the complex numbers by means of a faithful representation $varrho^pcolon Glra SL(V)$. This concept is meant to provide an analogon to the notion of a torsion free sheaf as a generalization of the notion of a vector bundle. We will construct moduli spaces for these singular principal bundles which compactify the moduli spaces of stable principal bundles.



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