Poisson deformations of ruled surfaces over an elliptic curve
Chunghoon Kim
TL;DR
This paper investigates the conditions under which Poisson deformations of ruled surfaces over an elliptic curve are obstructed or unobstructed, providing a classification of their deformation behavior.
Contribution
It offers a detailed analysis of the deformation theory for Poisson structures on ruled surfaces over elliptic curves, identifying criteria for obstructedness.
Findings
Characterization of obstructed and unobstructed Poisson deformations
Criteria for deformation unobstructedness on ruled surfaces
Classification of deformation types over elliptic curves
Abstract
We determine obstructedness or unobstructedness of (holomorphic) Poisson deformations of ruled surfaces over an elliptic curve.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Geometric and Algebraic Topology