3 citations · 3 across the 4 of their papers we have counts for
5 papers
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…
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…
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…
Hodge structure of O'Grady's singular moduli spaces
Valeria Bertini, Franco Giovenzana
We investigate the Hodge structure of the singular O'Grady's six and ten dimensional examples of irreducible symplectic varieties. In particular, we compute some of their Betti num…
Rational curves on O'Grady's tenfolds
Valeria Bertini
We study the existence of ample uniruled divisors on irreducible holomorphic symplectic manifolds that are deformation of the ten dimensional example introduced by O'Grady. In part…