Numerically flat principal bundles

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概要

• 論文の詳細を見る

• Generalizing the notion of a numerically flat vector bundle over a Kahler manifold $M$, we define a numerically flat principal $G$-bundle over $M$, where $G$ is a semisimple complex algebraic group. It is proved that a principal $G$-bundle $E G$ is numerically flat if and only if $\text{ad}(E G)$ is numerically flat. Numerically flat bundles are also characterized using the notion of semistability.

• 東北大学の論文

著者

• Subramanian Swaminathan

  School Of Mathematics Tata Institute Of Fundamental Research

• Biswas Indranil

  School Of Mathematics Tata Institute Of Fundamental Research

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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