English

Homological projective duality for quadrics

Algebraic Geometry 2020-04-01 v3

Abstract

We show that over an algebraically closed field of characteristic not equal to 2, homological projective duality for smooth quadric hypersurfaces and for double covers of projective spaces branched over smooth quadric hypersurfaces is a combination of two operations: one interchanges a quadric hypersurface with its classical projective dual and the other interchanges a quadric hypersurface with the double cover branched along it.

Keywords

Cite

@article{arxiv.1902.09832,
  title  = {Homological projective duality for quadrics},
  author = {Alexander Kuznetsov and Alexander Perry},
  journal= {arXiv preprint arXiv:1902.09832},
  year   = {2020}
}

Comments

15 pages, minor updates

R2 v1 2026-06-23T07:51:28.303Z