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arXiv · 2408.15187

On Weak bounded negativity conjecture

Snehajit Misra·Nabanita Ray
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Abstract

In the first part of this article, we give bounds on self-intersections $C^2$ of integral curves $C$ on blow-ups $Bl_nX$ of surfaces $X$ with the anti-cannonical divisor $-K_X$ effective. In the last part, we prove the weak bounded negativity for self-intersections $C^2$ of integral curves $C$ in a family of surfaces $f:Y\longrightarrow B$ where $B$ is a smooth curve.

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Snehajit Misra, Nabanita Ray. 2024-08-27. On Weak bounded negativity conjecture. https://arxiv.org/abs/2408.15187

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