English

Torelli problem for Calabi-Yau threefolds with GLSM description

Algebraic Geometry 2019-06-12 v3

Abstract

We construct a gauged linear sigma model with two non-birational K\"alher phases which we prove to be derived equivalent, L\mathbb{L}-equivalent, deformation equivalent and Hodge equivalent. This provides a new counterexample to the birational Torelli problem which admits a simple GLSM interpretation.

Keywords

Cite

@article{arxiv.1711.10231,
  title  = {Torelli problem for Calabi-Yau threefolds with GLSM description},
  author = {Michał Kapustka and Marco Rampazzo},
  journal= {arXiv preprint arXiv:1711.10231},
  year   = {2019}
}

Comments

Exposition improved, some arguments clarified

R2 v1 2026-06-22T22:59:15.387Z