Principal bundle, parabolic bundle, and holomorphic connection

Name: Principal bundle, parabolic bundle, and holomorphic connection
Creator: Indranil Biswas

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2003 English Publisher:Hindustan Book Agency

Authors: Indranil Biswas;

doi: 10.1007/978-93-86279-11-8_13

Principal bundle, parabolic bundle, and holomorphic connection

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Abstract

Let E G be a principal G—bundle over a rationally connected variety, where G is a complex algebraic group. Then any holomorphic connection on E G is flat. We describe a necessary and sufficient condition for a parabolic vector bundle over a Riemann surface to admit a logarithmic connection compatible with the parabolic structure.

Related Organizations

Tata Institute of Fundamental Research
India

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