64 citations · 233 across the 33 of their papers we have counts for
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math.AG2018
Gushel-Mukai varieties: moduli
Olivier Debarre, Alexander Kuznetsov
We describe the moduli stack of Gushel-Mukai varieties as a global quotient stack and its coarse moduli space as the corresponding GIT quotient. The construction is based on a comp…
math.AG2018
Hyperkähler manifolds
Olivier Debarre
The aim of these notes is to acquaint the reader with important objects in complex algebraic geometry: K3 surfaces and their higher-dimensional analogs, hyperkähler manifolds. Thes…
math.AG2018
Double covers of quadratic degeneracy and Lagrangian intersection loci
Olivier Debarre, Alexander Kuznetsov
We explain a general construction of double covers of quadratic degeneracy loci and Lagrangian intersection loci based on reflexive sheaves. We relate the double covers of quadrati…