11 citations · 28 across the 7 of their papers we have counts for
8 papers
Exceptional Tannaka groups only arise from cubic threefolds
Thomas Krämer, Christian Lehn, Marco Maculan
We show that under mild assumptions, the Fano surfaces of lines on smooth cubic threefolds are the only smooth subvarieties of abelian varieties whose Tannaka group for the convolu…
The monodromy of families of subvarieties on abelian varieties
Ariyan Javanpeykar, Thomas Krämer, Christian Lehn +1
Motivated by recent work of Lawrence-Venkatesh and Lawrence-Sawin, we show that non-isotrivial families of subvarieties in abelian varieties have big monodromy when twisted by gene…
Semicontinuity of Gauss maps and the Schottky problem
Giulio Codogni, Thomas Krämer
We show that the degree of Gauss maps on abelian varieties is semicontinuous in families, and we study its jump loci. As an application we obtain that in the case of theta divisors…
Characteristic cycles and the microlocal geometry of the Gauss map, II
Thomas Krämer
We show that for the reductive Tannaka groups of semisimple holonomic -modules on abelian varieties, every Weyl group orbit of weights of their universal cover is real…
Characteristic cycles and the microlocal geometry of the Gauss map, I
Thomas Krämer
We propose two new approaches to the Tannakian Galois groups of holonomic D-modules on abelian varieties. The first is an interpretation in terms of principal bundles given by the…
Semisimple Super Tannakian Categories with a small Tensor Generator
Thomas Krämer, Rainer Weissauer
We consider semisimple super Tannakian categories generated by an object whose symmetric or alternating tensor square is simple up to trivial summands. Using representation theory,…
On the Tannaka group attached to the Theta divisor of a generic principally polarized abelian variety
Thomas Krämer, Rainer Weissauer
To any closed subvariety of a complex abelian variety one can attach a reductive algebraic group which is determined by the decomposition of the convolution powers of v…
On the tensor square of irreducible representations of reductive Lie superalgebras
T. Krämer, R. Weissauer
For semisimple Lie superalgebras over an algebraically closed field of characteristic zero, whose category of finite dimensional super representations is semisismple, we classify a…