9 citations · 23 across the 8 of their papers we have counts for
5 papers · 1 filter
Connective K-theory and Adams operations
Olivier Haution, Alexander S. Merkurjev
We investigate the relations between the Grothendieck group of coherent modules of an algebraic variety and its Chow group of algebraic cycles modulo rational equivalence. Those ar…
Motivic decomposition of compactifications of certain group varieties
Nikita A. Karpenko, Alexander S. Merkurjev
Let D be a central simple algebra of prime degree over a field and let E be an SL_1(D)-torsor. We determine the complete motivic decomposition of certain compactifications of E. We…
Invariants of degree 3 and torsion in the Chow group of a versal flag
Alexander Merkurjev, Alexander Neshitov, Kirill Zainoulline
We prove that the group of normalized cohomological invariants of degree 3 modulo the subgroup of semidecomposable invariants of a semisimple split linear algebraic group G is isom…
On standard norm varieties
Nikita A. Karpenko, Alexander S. Merkurjev
Let be a prime integer and a field of characteristic 0. Let be the {\em norm variety} of a symbol in the Galois cohomology group (for some…
Rational surfaces and canonical dimension of PGL_6
Jean-Louis Colliot-Thélène, Nikita A. Karpenko, Alexander S. Merkurjev
The "canonical dimension" of an algebraic group over a field by definition is the maximum of the canonical dimensions of principal homogenous spaces under that group. Over a field…