13 citations · 42 across the 13 of their papers we have counts for
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A note on the automorphism group of Kodaira surfaces
Andrea Cattaneo
We give an explicit description of the automorphism groups of primary and secondary Kodaira surfaces. We first prove that every automorphism of a Kodaira surface lifts to an affine…
On a Lefschetz-type phenomenon for elliptic Calabi--Yaus
Andrea Cattaneo, James Fullwood
We consider 18 families of elliptic Calabi--Yaus which arise in constructing -theory compactifications of string vacua, and show in each case that the upper Hodge diamond of a c…
Finiteness of Klein actions and real structures on compact hyperkähler manifolds
Andrea Cattaneo, Lie Fu
One central problem in real algebraic geometry is to classify the real structures of a given complex manifold. We address this problem for compact hyperkähler manifolds by showing…
Calabi-Yau 4-folds of Borcea--Voisin type from F-Theory
Andrea Cattaneo, Alice Garbagnati, Matteo Penegini
In this paper, we apply Borcea--Voisin's construction and give new examples of Calabi--Yau fourfolds , which admit an elliptic fibration onto a smooth threefold , whose singu…
The Degree of the Tangent and Secant Variety to a Projective Surface
Andrea Cattaneo
In this paper we present a way of computing the degree of the secant (resp., tangent) variety of a smooth projective surface, under the assumption that the divisor giving the embed…
The automorphism group of the Hilbert scheme of two points on a generic projective K3 surface
Samuel Boissière, Andrea Cattaneo, Marc Nieper-Wisskirchen +1
We determine the automorphism group of the Hilbert scheme of two points on a generic projective K3 surface of any polarization. We obtain in particular new examples of Hilbert sche…
Families of Calabi-Yau elliptic fibrations in
Andrea Cattaneo
Let be a smooth projective surface, and an ample line bundle on . The aim of this parer is to study the families of elliptic Calabi--Yau threefolds sitting in…
Calabi--Yau 3-folds of Borcea--Voisin type and elliptic fibrations
Andrea Cattaneo, Alice Garbagnati
We consider Calabi--Yau 3-folds of Borcea--Voisin type, i.e. Calabi--Yau 3-folds obtained as crepant resolutions of a quotient , where is a K3 surf…
Crepant resolutions of Weierstrass threefolds and non-Kodaira fibres
Andrea Cattaneo
In this paper we want to study the non-Kodaira fibres in a smooth equidimensional elliptic threefold. If the morphism to the Weierstrass model of the fibration is crepant, then we…