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math.AG2019
Nested varieties of K3 type
Marcello Bernardara, Enrico Fatighenti, Laurent Manivel
Using geometrical correspondences induced by projections and two-steps flag varieties, and a generalization of Orlov's projective bundle theorem, we relate the Hodge structures and…
math.AG2019
Fano varieties of K3 type and IHS manifolds
Enrico Fatighenti, Giovanni Mongardi
We construct several new families of Fano varieties of K3 type. We give a geometrical explanation of the K3 structure and we link some of them to projective families of irreducible…