7 citations · 12 across the 2 of their papers we have counts for
6 papers
Verra fourfolds, twisted sheaves and the last involution
Chiara Camere, Grzegorz Kapustka, Michal Kapustka +1
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 twisted sheave…
Calabi--Yau quotients of hyperkähler four-folds
Chiara Camere, Alice Garbagnati, Giovanni Mongardi
The aim of this paper is to construct Calabi-Yau 4-folds as crepant resolutions of the quotients of a hyperkähler 4-fold by a non symplectic involution . We first compute th…
Polarized parallel transport and uniruled divisors on deformations of generalized Kummer varieties
Giovanni Mongardi, Gianluca Pacienza
In this note we characterize polarized parallel transport operators on irreducible holomorphic symplectic varieties which are deformations of generalized Kummer varieties. We then…
Prime order automorphisms of abelian surfaces: a lattice-theoretic point of view
Giovanni Mongardi, Kévin Tari, Malte Wandel
In this article, we focus on a new perspective of automorphisms of complex 2-tori, reviewing previous works from a lattice-theoretic point of view. In particular, we give a classif…
Severi Varieties and Brill-Noether theory of curves on abelian surfaces
Andreas Leopold Knutsen, Margherita Lelli-Chiesa, Giovanni Mongardi
Severi varieties and Brill-Noether theory of curves on K3 surfaces are well understood. Yet, quite little is known for curves on abelian surfaces. Given a general abelian surface $…
Automorphisms of hyperkähler manifolds
Giovanni Mongardi
The present paper provides several results on automorphisms of hyperkähler (or irreducible holomorphic symplectic) manifolds. In particular it focuses on the symplectic case and co…