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

Shinobu Hosono; Hiromichi Takagi

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arXiv · 1508.01997

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

Shinobu Hosono·Hiromichi Takagi

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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.

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BibTeX RIS

Shinobu Hosono, Hiromichi Takagi. 2015-08-09. Towards Homological Projective duality for S^2 P^3 and S^2 P^4. https://arxiv.org/abs/1508.01997

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