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arXiv · 2610.18489

Irrational families of Fano weighted complete intersection fourfolds

Jiaji Cai·Andrew Harder·Sukjoo Lee
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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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Jiaji Cai, Andrew Harder, Sukjoo Lee. 2026-10-13. Irrational families of Fano weighted complete intersection fourfolds. https://arxiv.org/abs/2610.18489

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