English

Weak Bounded Negativity Conjecture

Algebraic Geometry 2017-09-01 v1

Abstract

In this paper, we prove the following "Weak Bounded Negativity Conjecture", which says that given a complex smooth projective surface XX, for any reduced curve CC in XX and integer gg, assume that the geometric genus of each component of CC is bounded from above by gg, then the self-intersection number C2C^2 is bounded from below.

Keywords

Cite

@article{arxiv.1708.09463,
  title  = {Weak Bounded Negativity Conjecture},
  author = {Feng Hao},
  journal= {arXiv preprint arXiv:1708.09463},
  year   = {2017}
}
R2 v1 2026-06-22T21:28:27.922Z