The aim of this introductory survey is to acquaint the reader with important objects in
complex algebraic geometry: K3 surfaces and their higher-dimensional analogs, hyper …

We give a classification of all nonsymplectic automorphisms of prime order p acting on
irreducible holomorphic symplectic four-folds deformation equivalent to the Hilbert scheme …

We study smooth projective hyperkähler fourfolds that are deformations of Hilbert squares of
K3 surfaces and are equipped with a polarization of fixed degree and divisibility. They are …

We introduce logarithmic Enriques varieties as a singular analogue of Enriques manifolds,
generalizing the notion of log-Enriques surfaces introduced by Zhang. We focus then on the …

We study the geometry of some moduli spaces of twisted sheaves on K3 surfaces. In
particular we introduce induced automorphisms from a K3 surface on moduli spaces of …

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 show that a Hilbert scheme of conics on a Fano fourfold double cover of P 2× P 2
ramified along a divisor of bidegree (2, 2) admits a P 1‐fibration with base being a hyper …

We contribute to the classification of non-symplectic automorphisms of odd prime order on
irreducible holomorphic symplectic manifolds which are deformations of Hilbert schemes of …

Prime order automorphisms of generalised Kummer fourfolds Page 1 manuscripta math. 155,
449–469 (2018) © Springer-Verlag Berlin Heidelberg 2017 Giovanni Mongardi · Kévin Tari …

We describe periods of irreducible holomorphic symplectic manifolds of K 3 [n]-type with a
non-symplectic automorphism of prime order p≥ 3. These turn out to lie on complex ball …