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arXiv · 1708.09463

Weak Bounded Negativity Conjecture

Feng Hao
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Abstract

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

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Feng Hao. 2017-08-30. Weak Bounded Negativity Conjecture. https://arxiv.org/abs/1708.09463

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