We study the geometry of a Picard modular fourfold which parametrizes abelian fourfolds of Weil type for the field of cube roots of unity. We find a projective model of this fourfold as a singular, degree ten, hypersurface X in projective 5-space. The Weyl group W(E6) acts on X and we provide an explicit description of this action. Moreover, we describe various special subvarieties as well as the boundary of X
We compute the Picard group of the universal Abelian variety over the moduli stack Ag,n of principal...
AbstractWe compute the space of codimension 2 Tate classes on a product of two Picard modular surfac...
We prove that the moduli stacks of marked and labelled Hodge-special Gushel-Mukai fourfolds are isom...
We define Picard cycles on each smooth three-sheeted Galois cover C of the Riemann sphere. The modul...
Recently we determined explicitly a Picard modular variety of general type. On the regular locus of ...
We study certain combinatorial structures related to the simple group of order 25920. Our viewpoint ...
For the irreducible holomorphic symplectic eightfold Z associated to a cubic fourfold Y not containi...
We study geometric properties of the action of the Picard modular group $\Gamma=PU(2,1,\mathcal{O}_7...
In analogy to the case of cubic fourfolds, we discuss the conditions under which the double cover i...
We compute the space of codimension 2 Tate classes on a product of two Picard modular surfaces in te...
Maschke's Calabi-Yau three-fold is the double cover of projective three space branched along Maschke...
Maschke's Calabi-Yau three-fold is the double cover of projective three space branched along Maschke...
Why we called the class of two-dimensional Shimura varieties, which are not Hilbert modular, "Picard...
We classify the symplectic automorphism groups for cubic fourfolds. The main inputs are the global T...
We find explicit projective models of a compact Shimura curve and of a (non-compact) surface which a...
We compute the Picard group of the universal Abelian variety over the moduli stack Ag,n of principal...
AbstractWe compute the space of codimension 2 Tate classes on a product of two Picard modular surfac...
We prove that the moduli stacks of marked and labelled Hodge-special Gushel-Mukai fourfolds are isom...
We define Picard cycles on each smooth three-sheeted Galois cover C of the Riemann sphere. The modul...
Recently we determined explicitly a Picard modular variety of general type. On the regular locus of ...
We study certain combinatorial structures related to the simple group of order 25920. Our viewpoint ...
For the irreducible holomorphic symplectic eightfold Z associated to a cubic fourfold Y not containi...
We study geometric properties of the action of the Picard modular group $\Gamma=PU(2,1,\mathcal{O}_7...
In analogy to the case of cubic fourfolds, we discuss the conditions under which the double cover i...
We compute the space of codimension 2 Tate classes on a product of two Picard modular surfaces in te...
Maschke's Calabi-Yau three-fold is the double cover of projective three space branched along Maschke...
Maschke's Calabi-Yau three-fold is the double cover of projective three space branched along Maschke...
Why we called the class of two-dimensional Shimura varieties, which are not Hilbert modular, "Picard...
We classify the symplectic automorphism groups for cubic fourfolds. The main inputs are the global T...
We find explicit projective models of a compact Shimura curve and of a (non-compact) surface which a...
We compute the Picard group of the universal Abelian variety over the moduli stack Ag,n of principal...
AbstractWe compute the space of codimension 2 Tate classes on a product of two Picard modular surfac...
We prove that the moduli stacks of marked and labelled Hodge-special Gushel-Mukai fourfolds are isom...
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