3 citations · 4 across the 7 of their papers we have counts for
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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…
Weighted four-dimensional Fano hypersurfaces of K3 type
Valeria Bertini, Francesco Antonio Denisi, Enrico Fatighenti +1
We study weighted Fano fourfolds of K3 type realized as hypersurfaces in weighted projective spaces. Under the additional assumption that the singular locus has dimension at most o…
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…