Principal bundles over projective manifolds with parabolic structure overa divisor

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概要

• 論文の詳細を見る

• Principal $G$-bundles with parabolic structure over a normal crossing divisor are defined along the line of the interpretation of the usual principal $G$-bundles as functors from the category of representations, of the structure group $G$, into the category of vector bundles, satisfying certain axioms. Various results on principal bundles are extended to the more general context of principal bundles with parabolic structures, and also to parabolic $G$-bundles with Higgs structure. A simple construction of the moduli space of parabolic semistable $G$-bundles over a curve is given, where $G$ is a semisimple linear algebraic group over $\textbf{\textit{C}}$.

• 東北大学の論文

著者

• Balaji Vikraman

  The Institute Of Mathematical Sciences C. I. T. Campus

• Biswas Indranil

  School ofMathematics, Tata Institute of Fundamental Research

• Nagaraj DonihakkaluS.

  The Institute ofMathematical Sciences, C. I. T.Campus

• Biswas Indranil

  School Of Mathematics Tata Institute Of Fundamental Research

• Biswas Indranil

  School Ofmathematics Tata Institute Of Fundamental Research

• Nagaraj Donihakkalus.

  The Institute Ofmathematical Sciences C. I. T.campus

関連論文

• Principal bundles over projective manifolds with parabolic structure overa divisor
• Numerically flat principal bundles
• A correspondence between the moduli spaces of vector bundles over a curve
• On the stability of homogeneous vector bundles

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