Double spinor Calabi-Yau varieties
Algebraic Geometry
2023-06-22 v2
Abstract
Consider the ten-dimensional spinor variety in the projectivization of a half-spin representation of dimension sixteen. The intersection X of two general translates of this variety is a smooth Calabi-Yau fivefold, as well as the intersection Y of their projective duals. We prove that although X and Y are not birationally equivalent, they are derived equivalent and L-equivalent in the sense of Kuznetsov and Shinder.
Keywords
Cite
@article{arxiv.1709.07736,
title = {Double spinor Calabi-Yau varieties},
author = {Laurent Manivel},
journal= {arXiv preprint arXiv:1709.07736},
year = {2023}
}