English

Fano manifolds whose Chern characters satisfy some positivity conditions

Algebraic Geometry 2024-07-19 v1

Abstract

In this paper, we investigate Fano manifolds whose Chern characters satisfy some positivity conditions. We prove that such manifolds admit long chains of higher order minimal families of rational curves and are covered by higher rational varieties.

Keywords

Cite

@article{arxiv.2407.13434,
  title  = {Fano manifolds whose Chern characters satisfy some positivity conditions},
  author = {Taku Suzuki},
  journal= {arXiv preprint arXiv:2407.13434},
  year   = {2024}
}
R2 v1 2026-06-28T17:45:53.771Z