English

Deformations of highly symmetric Calabi-Yau Grassmannian hypersurfaces

Algebraic Geometry 2024-03-26 v1 Number Theory

Abstract

We use arithmetic and Hodge-theoretic techniques to study pencils of Calabi-Yau varieties realized as highly symmetric hypersurfaces in Grassmannians and their quotients, demonstrating that their geometric properties are distinct from the classical mirrors of Calabi-Yau Grassmannian hypersurfaces.

Keywords

Cite

@article{arxiv.2403.15898,
  title  = {Deformations of highly symmetric Calabi-Yau Grassmannian hypersurfaces},
  author = {Adriana Salerno and Ursula Whitcher and Chenglong Yu},
  journal= {arXiv preprint arXiv:2403.15898},
  year   = {2024}
}