activity
20242026
most citedCubic fourfolds with a symplectic automorphism of prime order

1 citations · 1 across the 3 of their papers we have counts for

collaborators

7 papers

math.AG2026

Corrigendum to "Nonsymplectic automorphisms of prime order on O'Grady's sixfolds"

Annalisa Grossi, Stevell Muller

In this short note we correct the lattice theoretic classification in [Rev. Mat. Iberoam. 38 (2022), no. 4, 1199--1218] of the first named author, including some missing cases and…

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…

math.AG20251 cited

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…

math.AG2025

Terminalizations of quotients of compact hyperkähler manifolds by induced symplectic automorphisms

Valeria Bertini, Annalisa Grossi, Mirko Mauri +1

Terminalizations of symplectic quotients are sources of new deformation types of irreducible symplectic varieties. We classify all terminalizations of quotients of Hilbert schemes…

math.AG2025

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…

math.AG2025

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…