On Weak bounded negativity conjecture

Fuente: arXiv
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Autores principales: Misra, Snehajit, Ray, Nabanita
Formato: Preprint
Publicado: 2024
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author Misra, Snehajit
Ray, Nabanita
author_facet Misra, Snehajit
Ray, Nabanita
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2408_15187
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On Weak bounded negativity conjecture
Misra, Snehajit
Ray, Nabanita
Algebraic Geometry
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.
title On Weak bounded negativity conjecture
topic Algebraic Geometry
url https://arxiv.org/abs/2408.15187