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Irrational families of Fano weighted complete intersection fourfolds

Jiaji Cai, Andrew Harder, Sukjoo Lee

Source record

Source: arXiv

Published: Oct 13, 2026

arXiv: 2610.18489

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Source abstract

We study the irrationality of smooth Fano complete intersection fourfolds in weighted projective spaces, using an atom theoretic approach based solely on Gromov--Witten invariants. We prove symplectic irrationality, and hence irrationality for every smooth member, in a wide range of families for which irrationality was previously known only for very general members.

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Irrational families of Fano weighted complete intersection fourfolds — Mathematical Frontier Network