English

Hunting for Miyaoka-Kobayashi curves

Algebraic Geometry 2025-08-25 v2 Combinatorics

Abstract

We study the possible singularities of Miyaoka-Kobayashi curves and prove several results about the non-existence of such curves in degrees 8\geq 8.

Keywords

Cite

@article{arxiv.2209.14847,
  title  = {Hunting for Miyaoka-Kobayashi curves},
  author = {Alexandru Dimca and Piotr Pokora},
  journal= {arXiv preprint arXiv:2209.14847},
  year   = {2025}
}

Comments

This is the final version incorporating referee's comments and remarks. Accepted in Publications of the Research Institute for Mathematical Sciences, Kyoto University