64 citations · 233 across the 33 of their papers we have counts for
38 papers
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…
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…
Smooth subvarieties of Jacobians
Olivier Benoist, Olivier Debarre
We give new examples of algebraic integral cohomology classes on smooth projective complex varieties that are not integral linear combinations of classes of smooth subvarieties. So…
Computing Riemann-Roch polynomials and classifying hyper-Kähler fourfolds
Olivier Debarre, Daniel Huybrechts, Emanuele Macrì +1
We prove that a hyper-Kähler fourfold satisfying a mild topological assumption is of K3 deformation type. This proves in particular a conjecture of O'Grady stating that hyp…
Complete curves in the moduli space of polarized K3 surfaces and hyper-Kähler manifolds
Olivier Debarre, Emanuele Macrì
Building on an idea of Borcherds, Katzarkov, Pantev, and Shepherd-Barron (who treated the case ), we prove that the moduli space of polarized K3 surfaces of degree conta…
Gushel-Mukai varieties with many symmetries and an explicit irrational Gushel-Mukai threefold
Olivier Debarre, Giovanni Mongardi
We construct an explicit complex smooth Fano threefold with Picard number 1, index 1, and degree 10 (also known as a Gushel-Mukai threefold) and prove that it is not rational by sh…