English

Strictly nef divisors on K-trivial fourfolds

Algebraic Geometry 2024-01-11 v2

Abstract

In this paper, we prove the ampleness conjecture and Serrano's conjecture for strictly nef divisors on K-trivial fourfolds. Specifically, we show that any strictly nef divisors on projective fourfolds with trivial canonical bundle and vanishing irregularity are ample.

Keywords

Cite

@article{arxiv.2105.07259,
  title  = {Strictly nef divisors on K-trivial fourfolds},
  author = {Haidong Liu and Shin-ichi Matsumura},
  journal= {arXiv preprint arXiv:2105.07259},
  year   = {2024}
}

Comments

18 pages