二维加权完全交叉的有效非消失

arXiv - MATH - Algebraic Geometry Pub Date : 2024-09-12 DOI:arxiv-2409.07828

Chen Jiang, Puyang Yu

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引用次数: 0

摘要

我们证明川俣的有效不消失猜想（又称安布罗--川俣不消失猜想）对于标度为 2$ 的类平滑加权完整交集成立。也就是说，对于一个标度为 2$ 的类平滑加权完全交集 $X$，以及一个在 $X$ 上的充裕卡蒂埃除数 $H$ （使得 $H-K_X$ 是充裕的），线性系统 $|H|$ 是非空的。

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Effective nonvanishing for weighted complete intersections of codimension two

We show Kawamata's effective nonvanishing conjecture (also known as the Ambro--Kawamata nonvanishing conjecture) holds for quasismooth weighted complete intersections of codimension $2$. Namely, for a quasismooth weighted complete intersection $X$ of codimension $2$ and an ample Cartier divisor $H$ on $X$ such that $H-K_X$ is ample, the linear system $|H|$ is nonempty.

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arXiv - MATH - Algebraic Geometry

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