6 papers · 1 filter
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…
Wall divisors on irreducible symplectic orbifolds of Nikulin-type
Grégoire Menet, Ulrike Riess
We determine the wall divisors on irreducible symplectic orbifolds which are deformation equivalent to a special type of examples, called Nikulin orbifolds. The Nikulin orbifolds a…
On the Betti numbers of compact holomorphic symplectic orbifolds of dimension four
Lie Fu, Grégoire Menet
We extend a result of Guan by showing that the second Betti number of a 4-dimensional primitively symplectic orbifold is at most 23 and there are at most 91 singular points. The ma…
Erratum to the paper: Integral cohomology of the Generalized Kummer fourfold
Simon Kapfer, Grégoire Menet
We provide a correct proof of arXiv:1607.03431, Theorem 5.2 in dimension 4. More precisely, we show that the integral cohomology of the generalized Kummer fourfold is torsion free.
Global Torelli theorem for irreducible symplectic orbifolds
Grégoire Menet
We propose a generalization of Verbitsky's global Torelli theorem in the framework of compact Kähler irreducible holomorphically symplectic orbifolds by adapting Huybrechts' proof…