33 citations · 111 across the 17 of their papers we have counts for
23 papers
Even nodal surfaces of K3 type
Marcello Bernardara, Enrico Fatighenti, Grzegorz Kapustka +4
We study Fano fourfolds of K3 type with a conic bundle structure. We construct direct geometrical links between these fourfolds and hyperKähler varieties. As a result we describe f…
Fano fourfolds of K3 type
Marcello Bernardara, Enrico Fatighenti, Laurent Manivel +1
We produce a list of 64 families of Fano fourfolds of K3 type, extracted from our database of at least 634 Fano fourfolds constructed as zero loci of general global sections of com…
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…
A categorical invariant for geometrically rational surfaces with a conic bundle structure
Marcello Bernardara, Sara Durighetto
We define a categorical birational invariant for minimal geometrically rational surfaces with a conic bundle structure over a perfect field via components of a natural semiorthogon…
Categorical dimension of birational automorphisms and filtrations of Cremona groups
Marcello Bernardara
Using a filtration on the Grothendieck ring of triangulated categories, we define the categorical dimension of a birational map between smooth projective varieties. We show that bi…
Cycles, derived categories, and rationality
Asher Auel, Marcello Bernardara
Our main goal is to give a sense of recent developments in the (stable) rationality problem from the point of view of unramified cohomology and 0-cycles as well as derived categori…