17 citations · 20 across the 6 of their papers we have counts for
7 papers
On the Gersten conjecture for hermitian Witt groups
Stefan Gille, Ivan Panin
We prove that the hermitian Gersten-Witt complex is exact for Azumaya algebras with involution of the first- or second kind over a regular local ring, which is essentially smooth o…
On the splitting principle for cohomological invariants of reflection groups
Stefan Gille, Christian Hirsch
Let be a field and a finite orthogonal reflection group over . We prove Serre's splitting principle for cohomological invariants of with va…
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…
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~ over a perfect field~ is zero dimensional if and only if the Picard group of~$\b…
Milnor-Witt -groups of local rings
Stefan Gille, Stephen Scully, Changlong Zhong
We introduce Milnor-Witt -groups of local rings and show that the th Milnor-Witt -group of a local ring which contains an infinite field of characteristic not is t…
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 the subgroup of elements of exponent dividing n in the cohomological Brauer group of…
Equivariant pretheories and invariants of torsors
Stefan Gille, Kirill Zainoulline
In the present paper we introduce and study the notion of an equivariant pretheory: basic examples include equivariant Chow groups, equivariant K-theory and equivariant algebraic c…