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4 papers
Thirty-three deformation classes of compact hyperkähler orbifolds
Grégoire Menet
As their smooth analogue the irreducible symplectic varieties appear as elementary bricks in the generalizations of the Bogomolov decomposition theorem (arXiv:math/0402243, arXiv:2…
Automorphisms of Nikulin-type orbifolds
Simon Brandhorst, Grégoire Menet, Stevell Muller
Nikulin-type orbifolds are certain singular 4-dimensional irreducible holomorphic symplectic varieties. We show that the monodromy group of Nikulin-type orbifolds is maximal and cl…
Anti-symplectic involutions on moduli spaces of sheaves on K3 surfaces via auto-equivalences
Daniele Faenzi, Grégoire Menet, Yulieth Prieto-Montañez
We provide new examples of anti-symplectic involutions on moduli spaces of stable sheaves on K3 surfaces. These involutions are constructed through (anti) autoequivalences of the b…
On the Kähler cone of irreducible symplectic orbifolds
Grégoire Menet, Ulrike RieÃ
We generalize the Hodge version of the global Torelli theorem in the framework of irreducible symplectic orbifolds. We also propose a generalization of several results related to t…