46 citations · 86 across the 6 of their papers we have counts for
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Summands of theta divisors on Jacobians
Thomas Krämer
We show that the only summands of theta divisors on Jacobians of curves and on intermediate Jacobians of cubic threefolds are the obvious powers of the curve and the Fano surface o…
Cubic threefolds, Fano surfaces and the monodromy of the Gauss map
Thomas Krämer
The Tannakian formalism allows to attach to any subvariety of an abelian variety an algebraic group in a natural way. The arising groups are closely related to moduli questions suc…
Characteristic classes and Hilbert-Poincaré series for perverse sheaves on abelian varieties
Thomas Krämer
The convolution powers of a perverse sheaf on an abelian variety define an interesting family of branched local systems whose geometry is still poorly understood. We show that the…
On a family of surfaces of general type attached to abelian fourfolds and the Weyl group W(E_6)
Thomas Krämer
We study a family of surfaces of general type that arises from the intersections of two translates of the theta divisor on a principally polarized complex abelian fourfold. In part…
Perverse sheaves on semiabelian varieties
Thomas Krämer
We give a Tannakian description for categories of l-adic perverse sheaves on semiabelian varieties which combines a construction of Gabber and Loeser for algebraic tori with a gene…
Vanishing Theorems for constructible Sheaves on Abelian Varieties
Thomas Krämer, Rainer Weissauer
We show that the hypercohomology of most character twists of perverse sheaves on a complex abelian variety vanishes in all non-zero degrees. As a consequence we obtain a vanishing…