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Geometry of symmetric determinantal loci

We study algebro-geometric properties of determinantal loci of (n+1)th symmetric matrices and also their double covers for even ranks. Their singularities, Fano indices and birational geometries are studied in general. The double covers of symmetric determinantal loci of rank four are studied with special interest by noting their relation to the Hilbert schemes of conics on Grassmannians.

preprint2015arXivOpen access
Shinobu HosonoHiromichi Takagi
math.AG
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Shinobu HosonoHiromichi Takagi

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