Hunting for Miyaoka-Kobayashi curves
Alexandru Dimca, Piotr Pokora
TL;DR
This paper investigates the singularities of Miyaoka-Kobayashi curves and establishes non-existence results for these curves in degrees eight and higher, advancing understanding of their geometric properties.
Contribution
It provides new non-existence theorems for Miyaoka-Kobayashi curves in high degrees, clarifying their possible singularity structures.
Findings
Non-existence of Miyaoka-Kobayashi curves in degrees ≥8
Results on the singularity constraints of these curves
Enhanced understanding of their geometric limitations
Abstract
We study the possible singularities of Miyaoka-Kobayashi curves and prove several results about the non-existence of such curves in degrees .
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
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Advanced Algebra and Geometry