Motivic cohomology information

Motivic cohomology is an invariant of algebraic varieties and of more general schemes. It is a type of cohomology related to motives and includes the Chow...

M. Friedlander) Cycles, Transfers and Motivic Homology Theories, which develops the theory of motivic cohomology in some detail. From 2002, Voevodsky was...

conjectured the existence of motivic complexes, complexes of sheaves whose cohomology was related to motivic cohomology. Among the conjectural properties...

which can also be expressed as motivic cohomology groups, by a variant known as étale (or Lichtenbaum) motivic cohomology. They show that the rational Hodge...

Intersection cohomology Khovanov homology Lie algebra cohomology Local cohomology Motivic cohomology Non-abelian cohomology Quantum cohomology complex-oriented...

1982, Beilinson published his own conjectures about the existence of motivic cohomology groups for schemes, provided as hypercohomology groups of a complex...

cycle Motivic cohomology Mixed motives (math) Étale topology Nisnevich topology Mazza, Voevodsky & Weibel 2006, Definition 1.1. Lecture Notes on Motivic Cohomology...

1960s, when these matters were actively being debated.) Motivic cohomology De Rham cohomology A quite subtle point is that if X is a supersingular elliptic...

motivic cohomology Motivic cohomology with Z/2-coefficients Motivic Eilenberg–Maclane spaces The homotopy of C {\displaystyle \mathbb {C} } -motivic modular...

lattice of some finite algebra? Goncharov conjecture on the cohomology of certain motivic complexes. Green's conjecture: the Clifford index of a non-hyperelliptic...

cohomology theory for algebraic varieties, involving their extension in mixed motives as a development of research by Pierre Deligne, and a motivic cohomology...

"He defined and developed motivic cohomology and the A1-homotopy theory, provided a framework for describing many new cohomology theories for algebraic varieties;...

can be compared with ordinary Deligne cohomology on complex analytic varieties. Bundle gerbe Motivic cohomology Hodge structure Intermediate Jacobian...

prismatic cohomology, which has been described as progress towards motivic cohomology by unifying singular cohomology, de Rham cohomology, ℓ-adic cohomology, and...

Weil cohomology or Weil cohomology theory is a cohomology satisfying certain axioms concerning the interplay of algebraic cycles and cohomology groups...

Grothendieck's Galois theory Algebraic stack Gerbe Étale cohomology Motive (algebraic geometry) Motivic cohomology A¹ homotopy theory Homotopical algebra Niels Henrik...

of the key motivations for introducing the Nisnevich topology in motivic cohomology is the fact that a Zariski open cover π : U → X {\displaystyle \pi...

University (Tokyo, Japan). He works in the field of arithmetic geometry, motivic cohomology and algebraic K-theory. From 1985 Geisser studied at Bonn University...