%0 Journal Article
%T Towards Homological Projective duality for S^2 P^3 and S^2 P^4
%A Shinobu Hosono
%A Hiromichi Takagi
%J Mathematics
%D 2015
%I arXiv
%X 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.
%U http://arxiv.org/abs/1508.01997v1