3 papers
math.AG2025
Gushel-Mukai varieties
Olivier Debarre
Gushel-Mukai varieties are smooth complex dimensionally transverse intersections of a cone over the Grassmannian with a linear space and a quadratic hypersurface…
math.AG2025
Numerical invariants of hyper-Kähler manifolds
Olivier Debarre, Chen Jiang
We study various constraints on the Beauville quadratic form and the Huybrechts-Riemann-Roch polynomial for hyper-Kähler manifolds, mostly in dimension 6 and in the presence of an…
math.AG2024
Quadrics on Gushel-Mukai varieties
Olivier Debarre, Alexander Kuznetsov
We study Hilbert schemes of quadrics of dimension on smooth Gushel-Mukai varieties of dimension by relating them to the relative Hilbe…