3 citations · 4 across the 7 of their papers we have counts for
8 papers
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…
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…
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…
Irreducible symplectic varieties via relative Prym varieties
Emma Brakkee, Chiara Camere, Annalisa Grossi +3
Generalizing work of Markushevich--Tikhomirov and Arbarello--Saccà--Ferretti, we use relative Prym varieties to construct Lagrangian fibered symplectic varieties in infinitely many…
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…