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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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Cite

BibTeXRIS
BibTeX
@misc{cai2026irrational,
  title = {{Irrational families of Fano weighted complete intersection fourfolds}},
  author = {Jiaji Cai and Andrew Harder and Sukjoo Lee},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.18489},
  eprint = {2610.18489},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.18489},
}
RIS
TY  - UNPB
TI  - Irrational families of Fano weighted complete intersection fourfolds
AU  - Jiaji Cai
AU  - Andrew Harder
AU  - Sukjoo Lee
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.18489
UR  - https://arxiv.org/abs/2610.18489
AB  - 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.
ER  -