Towards Homological Projective duality for S^2 P^3 and S^2 P^4
Algebraic Geometry
2015-08-11 v1
Abstract
We provide homological foundations to establish conjectural homological projective dualities between 1) S^2 P^3 and the double cover of the projective 9-space branched along the symmetric determinantal quartic, and 2) S^2 P^4 and the double cover of the symmetric determinantal quintic in the projective 14-space branched along the symmetric determinantal locus of rank at most 3.
Keywords
Cite
@article{arxiv.1508.01997,
title = {Towards Homological Projective duality for S^2 P^3 and S^2 P^4},
author = {Shinobu Hosono and Hiromichi Takagi},
journal= {arXiv preprint arXiv:1508.01997},
year = {2015}
}
Comments
We have reorganized our paper arXiv:1302.5881. This paper contains a generalization of the second part (homological part) of that paper