English

Open problems on structure of positively curved projective varieties

Algebraic Geometry 2022-11-18 v1 Complex Variables Differential Geometry

Abstract

We provide supplements and open problems related to structure theorems for maximal rationally connected fibrations of certain positively curved projective varieties, including smooth projective varieties with semi-positive holomorphic sectional curvature, pseudo-effective tangent bundle, and nef anti-canonical divisor.

Keywords

Cite

@article{arxiv.2211.09153,
  title  = {Open problems on structure of positively curved projective varieties},
  author = {Shin-ichi Matsumura},
  journal= {arXiv preprint arXiv:2211.09153},
  year   = {2022}
}

Comments

18 pages

R2 v1 2026-06-28T06:04:16.384Z