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math.AG2026
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 a…
math.AG2026
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…
math.AG2026
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…