1 citations · 2 across the 8 of their papers we have counts for
10 papers
Quotients of Calabi-Yau Generalized Fermat manifolds and Log Enriques varieties
Simone Billi, Ana Julisa Palomino, Alessandra Sarti
Enriques manifolds and Log Enriques varieties have attracted a lot of interest in the last years. In this paper we study Enriques manifolds and Log Enriques varieties that are resp…
Some remarks on L-equivalence for cubic fourfolds and hyper-Kähler manifolds
Simone Billi, Lucas Li Bassi
We prove that if two very general cubic fourfolds are L-equivalent then they are isomorphic, and we observe that there exist special cubic fourfolds which are L-equivalent but not…
On maximality of involutions of hyper-Kähler manifolds and punctual Hilbert schemes of surfaces
Simone Billi, Lie Fu, Annalisa Grossi +1
Given a holomorphic or anti-holomorphic involution on a complex variety, the Smith inequality says that the total -Betti number of the fixed locus is no greater than…
A note on the Nielsen realization problem for Enriques manifolds
Simone Billi
We give a numerical criterion for the Nielsen realization problem for Enriques manifolds, based on the recent developments on the Birman-Hilden theory for hyper-Kähler manifolds an…
Non-existence of Enriques manifolds from OG10 type manifolds
Simone Billi, Franco Giovenzana, Luca Giovenzana +1
We use the LLV algebra to describe the action of a finite order automorphism on the total cohomology of a manifold of OG10 type. As an application, we prove that no Enriques manifo…
Cubic fourfolds with a symplectic automorphism of prime order
Simone Billi, Annalisa Grossi, Lisa Marquand
We determine the algebraic and transcendental lattices of a general cubic fourfold with a symplectic automorphism of prime order. We prove that cubic fourfolds admitting a symplect…
Non-symplectic automorphisms of prime order of O'Grady's tenfolds and cubic fourfolds
Simone Billi, Annalisa Grossi
We give a lattice-theoretic classification of non-symplectic automorphisms of prime order of irreducible holomorphic symplectic manifolds of OG10 type. We determine which automorph…
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…
A note on the Nielsen realization problem for hyper-Kähler manifolds
Simone Billi
We give an answer to the Nielsen realization problem for hyper-Kähler manifolds in terms of the same invariant used for K3 surfaces. We determine that, for some of the known deform…
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 fourfol…