20 citations · 58 across the 12 of their papers we have counts for
17 papers
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…
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…
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 Kähler cone of irreducible symplectic orbifolds
Grégoire Menet, Ulrike Rieß
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…
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…
Integral cohomology of quotients via toric geometry
Grégoire Menet
We describe the integral cohomology of where is a compact complex manifold and a cyclic group of prime order with only isolated fixed points. As a preliminary step, w…
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…
Integral cohomology of the Generalized Kummer fourfold
Simon Kapfer, Grégoire Menet
We describe the integral cohomology of the Generalized Kummer fourfold giving an explicit basis, using Hilbert scheme cohomology and tools developed by Hassett and Tschinkel. Then…
Brane involutions on irreducible holomorphic symplectic manifolds
Emilio Franco, Marcos Jardim, Grégoire Menet
In the context of irreducible holomorphic symplectic manifolds, we say that (anti)holomorphic (anti)symplectic involutions are brane involutions since their fixed point locus is a…
Compact hyper-Kähler categories
Roland Abuaf, Grégoire Menet
We define and study the notion of hyper-Kähler category. On the theoretical side, we focus on construction techniques and deformation theory of such categories. We also study in de…
Construction of G_2-instantons via twisted connected sums
Grégoire Menet, Johannes Nordström, Henrique N. Sá Earp
We propose a method to construct G_2-instantons over a compact twisted connected sum G_2-manifold, applying a gluing result of Sá Earp and Walpuski to instantons over a pair of 7-m…
On the integral cohomology of quotients of manifolds by cyclic groups
Grégoire Menet
We propose new tools based on basic lattice theory to calculate the integral cohomology of the quotient of a manifold by an automorphism group of prime order. As examples of applic…
Beauville-Bogomolov lattice for a singular symplectic variety of dimension 4
Grégoire Menet
The Beauville-Bogomolov lattice is computed for a simplest singular symplectic manifold of dimension 4, obtained as a partial desingularization of the quotient , where $…
Duality for relative Prymians associated to K3 double covers of del Pezzo surface of degree 2
Grégoire Menet
Markushevich and Tikhomirov provided a construction of an irreducible symplectic V-manifold of dimension 4, the relative compactified Prym variety of a family of curves with involu…
Holomorphic bundles for higher dimensional gauge theory
Marcos B. Jardim, Grégoire Menet, Daniela M. Prata +1
Motivated by gauge theory under special holonomy, we present techniques to produce holomorphic bundles over certain noncompact folds, called building blocks, satisfying a stabi…