Root stacks, principal bundles and connections
Indranil Biswas, Souradeep Majumder, Michael Lennox Wong
TL;DR
This paper explores principal bundles over root stacks, extending classical criteria for algebraic connections to the case of one-dimensional stacks, thereby broadening understanding in algebraic geometry.
Contribution
It generalizes Weil and Atiyah's criterion for algebraic connections to principal bundles over one-dimensional root stacks.
Findings
Extended the criterion for algebraic connections to root stacks of dimension one.
Provided new insights into the structure of principal bundles over algebraic stacks.
Contributed to the theory of connections in the context of algebraic geometry.
Abstract
We investigate principal bundles over a root stack. In case of dimension one, we generalize the criterion of Weil and Atiyah for a principal bundle to have an algebraic connection.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic Geometry and Number Theory