-theory of affine toric varieties.
-theory of weight varieties.
Killing divisor classes by algebraisation
It is proved that any isolated singularity of complete intersection has an algebraisation whose divisor class group is finitely generated.
Klasický problém teórie kriviek
Koszul duality and semisimplicity of Frobenius
A fundamental result of Beĭlinson–Ginzburg–Soergel states that on flag varieties and related spaces, a certain modified version of the category of -adic perverse sheaves exhibits a phenomenon known as Koszul duality. The modification essentially consists of discarding objects whose stalks carry a nonsemisimple action of Frobenius. In this paper, we prove that a number of common sheaf functors (various pull-backs and push-forwards) induce corresponding functors on the modified category or its triangulated...
K-unirationality of conic bundles, the Kneser-Tits conjecture for spinor groups and central simple algebras