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arXiv · 2409.07828

Effective nonvanishing for weighted complete intersections of codimension two

Chen Jiang·Puyang Yu
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Abstract

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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Chen Jiang, Puyang Yu. 2024-09-12. Effective nonvanishing for weighted complete intersections of codimension two. https://arxiv.org/abs/2409.07828

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