## Tohoku Mathematical Journal

### Principal bundles over projective manifolds with parabolic structure over a divisor

#### Abstract

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 $C$.

#### Article information

Source
Tohoku Math. J. (2), Volume 53, Number 3 (2001), 337-367.

Dates
First available in Project Euclid: 3 May 2007

https://projecteuclid.org/euclid.tmj/1178207416

Digital Object Identifier
doi:10.2748/tmj/1178207416

Mathematical Reviews number (MathSciNet)
MR2002h:14026

Zentralblatt MATH identifier
1070.14506

#### Citation

Balaji, Vikraman; Biswas, Indranil; Nagaraj, Donihakkalu S. Principal bundles over projective manifolds with parabolic structure over a divisor. Tohoku Math. J. (2) 53 (2001), no. 3, 337--367. doi:10.2748/tmj/1178207416. https://projecteuclid.org/euclid.tmj/1178207416

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