Gamma conjectures for Milnor hypersurfaces

@misc{hu2026gamma,
  title = {{Gamma conjectures for Milnor hypersurfaces}},
  author = {Jianxun Hu and Hua-Zhong Ke and Changzheng Li and Jiayu Song},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.31150},
  eprint = {2610.31150},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.31150},
}

TY  - UNPB
TI  - Gamma conjectures for Milnor hypersurfaces
AU  - Jianxun Hu
AU  - Hua-Zhong Ke
AU  - Changzheng Li
AU  - Jiayu Song
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2610.31150
UR  - https://arxiv.org/abs/2610.31150
AB  - We prove Gamma conjectures I and II of Galkin, Golyshev and Iritani for Milnor hypersurfaces, the smooth hypersurfaces of bidegree (1,1) in the product of two projective spaces. We provide a criterion for Gamma conjecture II for general Fano manifolds, generalizing the criterion by Hu and Ke. Using the mirror symmetry technique of Galkin and Iritani, we establish global Gamma-I for Milnor hypersurfaces, thereby proving Gamma conjecture I as a special case. Using it, together with the Galois action and our criterion, we verify Gamma conjecture II for Milnor hypersurfaces.
ER  -