We prove that the bimeromorphic class of a hyperkähler manifold deformation equivalent to
O'Grady's six dimensional one is determined by the Hodge structure of its Beauville …

Birational geometry of irreducible holomorphic symplectic tenfolds of O’Grady type |
Mathematische Zeitschrift Skip to main content SpringerLink Account Menu Find a journal …

We compute the subgroup of the monodromy group of a generalized Kummer variety
associated to equivalences of derived categories of abelian surfaces. The result was …

arXiv:2002.04129v5 [math.AG] 24 Jun 2022 Page 1 arXiv:2002.04129v5 [math.AG] 24 Jun 2022
ON THE MONODROMY GROUP OF DESINGULARISED MODULI SPACES OF SHEAVES ON …

We introduce the notion of a Hyper-Kähler manifold X induced by a Hodge structure of K3-
type. We explore this notion for the known deformation types of Hyper-Kähler manifolds …

By work of Looijenga and others, one understands the relationship between Geometric
Invariant Theory (GIT) and Baily–Borel compactifications for the moduli spaces of degree …

Rational curves on Hilbert schemes of points on $ K3 $ surfaces and generalised Kummer
manifolds are constructed by using Brill–Noether theory on nodal curves on the underlying …

We characterize conjugacy classes of isometries of odd prime order in unimodular-lattices.
This is applied to give a complete classification of odd prime order non-symplectic …

We prove that the locus of Hilbert schemes of n points on a projective K3 surface is dense in
the moduli space of irreducible holomorphic symplectic manifolds of that deformation type …

In this paper a monodromy invariant for isotropic classes on generalized Kummer type
manifolds is constructed. This invariant is used to determine the polarization type of …