4 citations · 8 across the 6 of their papers we have counts for
6 papers
Elliptic K3 surfaces with abelian and dihedral groups of symplectic automorphisms
Alice Garbagnati
We analyze K3 surfaces admitting an elliptic fibration and a finite group of symplectic automorphisms preserving this elliptic fibration. We construct the quotient elliptic…
The Picard-Fuchs equation of a family of Calabi-Yau threefolds without maximal unipotent monodromy
Alice Garbagnati, Bert van Geemen
Recently J.C. Rohde constructed families of Calabi-Yau threefolds parametrised by Shimura varieties. The points corresponding to threefolds with CM are dense in the Shimura variety…
A geometrical approach to Gordan--Noether's and Franchetta's contributions to a question posed by Hesse
Alice Garbagnati, Flavia Repetto
Hesse claimed that an irreducible projective hypersurface in $\PP^n$ defined by an equation with vanishing hessian determinant is necessarily a cone. Gordan and Noether proved that…
Symplectic Automorphisms on Kummer Surfaces
Alice Garbagnati
Nikulin proved that the isometries induced on the second cohomology group of a K3 surface by a finite abelian group of symplectic automorphisms are essentially unique. More…
Elliptic fibrations and symplectic automorphisms on K3 surfaces
Alice Garbagnati, Alessandra Sarti
Nikulin has classified all finite abelian groups acting symplectically on a K3 surface and he has shown that the induced action on the K3 lattice depends only…
Projective models of K3 surfaces with an even set
Alice Garbagnati, Alessandra Sarti
The aim of this paper is to describe algebraic K3 surfaces with an even set of rational curves or of nodes. Their minimal possible Picard number is nine. We completely classify the…