8 citations · 18 across the 7 of their papers we have counts for
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O'Grady tenfolds as moduli spaces of sheaves
Camilla Felisetti, Franco Giovenzana, Annalisa Grossi
We give a lattice-theoretic characterization for a manifold of type to be birational to some moduli space of (twisted) sheaves on a K3 surface. We apply it to the L…
Symplectic rigidity of O'Grady's tenfolds
Luca Giovenzana, Annalisa Grossi, Claudio Onorati +1
We prove that any symplectic automorphism of finite order of an irreducible holomorphic symplectic manifold of O'Grady's 10-dimensional deformation type is trivial.
Rational curves on primitive symplectic varieties of OG6 singular type
Valeria Bertini, Annalisa Grossi
We prove that any ample class on a primitive symplectic variety that is locally trivial deformation of O'Grady's singular 6 dimensional example is proportional to the first Chern c…
Symplectic birational transformations of finite order on O'Grady's sixfolds
Annalisa Grossi, Claudio Onorati, Davide Cesare Veniani
We prove that any symplectic automorphism of finite order on a manifold of type OG6 acts trivially on the Beauville--Bogomolov--Fujiki lattice and that any birational transformatio…
Nonsymplectic automorphisms of prime order on O'Grady's sixfolds
Annalisa Grossi
We classify nonsymplectic automorphisms of prime order on irreducible holomorphic symplectic manifolds of O'Grady's 6-dimensional defamation type. More precisely, we give a classif…
Induced birational transformations on O'Grady's sixfolds
Annalisa Grossi
We introduce the notion of induced birational transformations of irreducible holomorphic symplectic sixfolds of the sporadic deformation type discovered by O'Grady. We give a crite…
Symmetries of order eight on K3 surfaces without high genus curves in the fixed locus
Dima Al Tabbaa, Annalisa Grossi, Alessandra Sarti
In this paper we classify non-symplectic automorphisms of order 8 on complex K3 surfaces in case that the fourth power of the automorphism has only rational curves in its fixed loc…