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Effective nonvanishing for weighted complete intersections of codimension two

Chen Jiang, Puyang Yu

Source record

Source: Crossref

Published: Nov 1, 2026

DOI: 10.1215/21562261-2024-0071

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Source 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−KX is ample, the linear system |H| is nonempty.

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Effective nonvanishing for weighted complete intersections of codimension two — Mathematical Frontier Network