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arxiv: 1508.01997 · v1 · pith:JOI2S56Dnew · submitted 2015-08-09 · 🧮 math.AG

Towards Homological Projective duality for S² P³ and S² P⁴

classification 🧮 math.AG
keywords projectivedeterminantalhomologicalsymmetricalongbranchedcoverdouble
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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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    Authors define Lichtenbaum-Quillen dimension of complex varieties from K-theory stabilization and apply it to rationality obstructions and new cases of the integral Hodge conjecture.