Let k be a field of characteristic zero. For a linear algebraic group G over k acting on a
scheme X, we define the equivariant algebraic cobordism of X and establish its basic …

In the present paper we set up a connection between the indices of the Tits algebras of a
semisimple linear algebraic group G and the degree one indices of its motivic J-invariant …

Invariants of degree 3 and torsion in the Chow group of a versal flag Page 1 Invariants of
degree 3 and torsion in the Chow group of a versal flag Alexander Merkurjev, Alexander …

In this paper, we generalize a result of Karpenko on the torsion in the second quotient of the
gamma filtration for Severi-Brauer varieties to higher degrees. As an application, we provide …

Let G be a compact Lie group and T its maximal torus. In this paper, we try to compute grĆ g
šG/TŽ the graded ring associated with the gamma filtration of the complex K-theory K0šG/TŽ …

In the present paper we introduce and study the twisted γ-filtration on K0 (Gs), where Gs is a
split simple linear algebraic group over a field k of characteristic prime to the order of the …

抄録 Let X be a (colimit of) smooth algebraic variety over a subfield k of C. Let K alg 0
(X)(resp. K top 0 (X (C))) be the algebraic (resp. topological) K-theory of k (resp. complex) …

A connection between the indices of the Tits algebras of a split linear algebraic group G and
the degree one parameters of its motivic J-invariant was introduced by Quéguiner-Mathieu …

We introduce techniques for uniformly studying the gamma filtration of projective
homogeneous varieties. These techniques are utilized in some cases of inner-twisted flag …

Consider a crystallographic root system together with its Weyl group $ W $ acting on the
weight lattice $ M $. Let $ Z [M]^ W $ and $ S^*(M)^ W $ be the $ W $-invariant subrings of …