41 citations · 453 across the 49 of their papers we have counts for
6 papers · 1 filter
On the Tits p-indexes of semisimple algebraic groups
Charles De Clercq, Skip Garibaldi
The first author has recently shown that semisimple algebraic groups are classified up to motivic equivalence by the local versions of the classical Tits indexes over field extensi…
Exceptional collections of line bundles on projective homogeneous varieties
Alexey Ananyevskiy, Asher Auel, Skip Garibaldi +1
We construct new examples of exceptional collections of line bundles on the variety of Borel subgroups of a split semisimple linear algebraic group G of rank 2 over a field. We exh…
Shells of twisted flag varieties and the Rost invariant
Skip Garibaldi, Victor Petrov, Nikita Semenov
We introduce two new general methods to compute the Chow motives of twisted flag varieties and settle a 20-year-old conjecture of Markus Rost about the Rost invariant for groups of…
The gamma-filtration and the Rost invariant
Skip Garibaldi, Kirill Zainoulline
Let X be the variety of Borel subgroups of a simple and strongly inner linear algebraic group G over a field k. We prove that the torsion part of the second quotient of Grothendiec…
Totaro's question for G_2, F_4, and E_6
Skip Garibaldi, Detlev Hoffmann
In a 2004 paper, Totaro asked whether a G-torsor X that has a zero-cycle of degree d > 0 will necessarily have a closed etale point of degree dividing d, where G is a connected alg…
Unramified cohomology of classifying varieties for exceptional simply connected groups
R. Skip Garibaldi
Let BG be a classifying variety for an exceptional simple simply connected algebraic group G. We compute the degree 3 unramified Galois cohomology of BG with values in Q/Z(2) over…