Hyperbolicity of general deformations
Mikhail Zaidenberg (IF)
TL;DR
This paper introduces two innovative methods, projection and deformation, for constructing low-degree Kobayashi hyperbolic hypersurfaces in projective space, advancing the understanding of hyperbolic geometry.
Contribution
It presents new techniques for constructing hyperbolic hypersurfaces, expanding the toolkit for researchers in complex geometry.
Findings
Developed the projection method for hyperbolic hypersurfaces
Established the deformation method as a means to produce hyperbolic examples
Demonstrated the effectiveness of these methods in low-degree cases
Abstract
We present two methods of constructing low degree Kobayashi hyperbolic hypersurfaces in the projective space: the projection method and the deformation method. The talk is based on joint works of the speaker with B. Shiffman and C. Ciliberto.
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 · Nonlinear Waves and Solitons · Advanced Differential Equations and Dynamical Systems