Integration of the elliptic tangent bundle and elliptic Poisson structures

2025/01/29 by Bas Wensink, Wensink, Bas
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Differential Geometry Research #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2501.17487

openalex publication_date 2025/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explicitly construct a Lie groupoid integrating the elliptic tangent bundle associated to a (possibly normal crossing) elliptic divisor, providing a necessary and sufficient topological condition for the existence of a Hausdorff integration. We also produce an explicit local model for the symplectic integration of an elliptic Poisson structure.

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