Stefan Gille

activity

20132019

collaborators

4 papers

math.AG2019

On the splitting principle for cohomological invariants of reflection groups

Stefan Gille, Christian Hirsch

Let $k_{0}$ be a field and $W$ a finite orthogonal reflection group over $k_{0}$ . We prove Serre's splitting principle for cohomological invariants of $W$ with va…

math.AG2018

Rost nilpotence and free theories

Stefan Gille, Alexander Vishik

We introduce coherent cohomology theories h_* and prove that if such a theory is moreover generically constant then the Rost nilpotence principle holds for projective homogeneous v…

math.AG2015

Permutation modules and Chow motives of geometrically rational surfaces

Stefan Gille

We prove that the Chow motive with integral coefficient of a geometrically rational surfaces~ $S$ over a perfect field~ $k$ is zero dimensional if and only if the Picard group of~$\b…

math.AG2013

On the Brauer group of the product of a torus and a semisimple algebraic group

Stefan Gille, Nikita Semenov

Let T be a torus (not assumed to be split) over a field F, and denote by $_{n} H_{e t}^{2} (X, G m)$ the subgroup of elements of exponent dividing n in the cohomological Brauer group of…