Quadrics on Gushel-Mukai varieties

2024/09/05 by Debarre, Olivier, Kuznetsov, Alexander · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2409.03528

Abstract

We study Hilbert schemes of quadrics of dimension k ∈ \0,1,2,3\ on smooth Gushel-Mukai varieties X of dimension n ∈ \2,3,4,5,6\ by relating them to the relative Hilbert schemes of linear subspaces of dimension k + 1 of a certain family, naturally associated with X, of quadrics of dimension n - 1 over the blowup of P⁵ at a point.

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