3 papers
math.AG2026
A symplectic fourfold
Maria Donten-Bury, Grzegorz Kapustka, Benedetta Piroddi +1
We present a method to construct irreducible symplectic varieties by studying terminalisations of quotient of hyper-Kähler manifolds by non-natural group actions. In particular, w…
math.AG2024
On birational automorphisms of double EPW-cubes
Simone Billi, Stevell Muller, Tomasz Wawak
We give a classification of finite groups of symplectic birational automorphisms on a manifold of K3^[3]-type with stable and stably saturated cohomological action. We describe the…
math.AG2024
Double EPW-sextics with actions of A7 and irrational GM threefolds
Simone Billi, Tomasz Wawak
We construct two examples of projective hyper-Kähler fourfolds of K3[2]-type with an action of the alternating group A7, making them some of the most symmetric hyper-Kähler fourf…