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arXiv · 1912.00598

Criterion for existence of a logarithmic connection on a principal bundle over a smooth complex projective variety

Sudarshan Gurjar·Arjun Paul
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Abstract

Let $X$ be a connected smooth complex projective variety of dimension $n \geq 1$. Let $D$ be a simple normal crossing divisor on $X$. Let $G$ be a connected complex Lie group, and $E_G$ a holomorphic principal $G$-bundle on $X$. In this article, we give criterion for existence of a logarithmic connection on $E_G$ singular along $D$.

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Sudarshan Gurjar, Arjun Paul. 2020-06-30. Criterion for existence of a logarithmic connection on a principal bundle over a smooth complex projective variety. https://doi.org/10.1007/s10455-020-09723-8

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