Towards Homological Projective duality for S^2 P^3 and S^2 P^4

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.

We have reorganized our paper arXiv:1302.5881. This paper contains a generalization of the second part (homological part) of that paper

References in corpus (4)

• Semiorthogonal decompositions in algebraic geometry
• Homological projective duality for Grassmannians of lines
• Homological Projective Duality via Variation of Geometric Invariant Theory Quotients
• Geometry of symmetric determinantal loci