English

A question on effective strictly nef divisors (with an appendix by Andreas H\"oring)

Algebraic Geometry 2024-04-12 v3

Abstract

We introduce and motivate the following question: Is every effective strictly nef Cartier divisor on a projective variety big? In the appendix, Andreas H\"oring produces a counterexample, thus providing a negative answer.

Keywords

Cite

@article{arxiv.2306.06985,
  title  = {A question on effective strictly nef divisors (with an appendix by Andreas H\"oring)},
  author = {Claudio Fontanari},
  journal= {arXiv preprint arXiv:2306.06985},
  year   = {2024}
}

Comments

Final version, to appear in Rend. Sem. Mat. Univ. Politec. Torino

R2 v1 2026-06-28T11:02:44.599Z