What type of study is this?

This is a Quantitative Study study.

September 29, 2025Open Access

Lie Algebroid Connections on Principal Bundles

Puntos clave

The definition of lie algebroid valued connections is established for holomorphic principal bundles.
Key properties are studied under the concepts of reduction and extension of structure groups.
Criterions for the existence of lie algebroid connections on principal bundles over complex projective curves are investigated.
Extension of these concepts may yield new insights in the study of algebraic geometry.

Resumen

Let X be an irreducible smooth complex projective variety. Let G be a linear algebraic group over C. We define the notion of Lie algebroid valued connection on holomorphic principal G--bundles on X, and study their basic properties under extension and reduction of structure group. Finally we investigate criterions for existence of a Lie algebroid connection on principal G--bundles over smooth complex projective curves.

Leer artículo completoexternamente

Me gusta

Guardar

Ver artículo completo

Cite This Study

Ghosh et al. (Sat,) studied this question.

synapsesocial.com/papers/68da58d8c1728099cfd111f0 https://doi.org/https://doi.org/10.48550/arxiv.2505.18821

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

Me gusta

Guardar

Ver artículo completo