Results 11 to 20 of about 469 (86)

The Chow-Witt ring

open access: yesDocumenta Mathematica, 2007
We define a ring structure on the total Chow-Witt group of any integral smooth scheme over a field of characteristic different from 2.
J. Fasel
semanticscholar   +1 more source

Modules homotopiques

open access: yesDocumenta Mathematica, 2011
Based on previous works, we compare over a perfect field k the category of homotopy invariant sheaves with transfers introduced by V. Voevodsky and the category of cycle modules introduced by M. Rost: the former is a full subcategory of the latter. Using
Homotopiques F. Déglise
semanticscholar   +1 more source

On the Chow ring of certain rational cohomology tori [PDF]

open access: yes, 2016
Let $f: X \rightarrow A$ be an abelian cover from a complex algebraic variety with quotient singularities to an abelian variety. We show that $f^*$ induces an isomorphism between the rational cohomology rings $H^\bullet(A, \mathbb{Q})$ and $H^\bullet(X, \
Jiang, Zhi, Yin, Qizheng
core   +4 more sources

On the finiteness of Ш for motives associated to modular forms

open access: yesDocumenta Mathematica, 1997
Let f be a modular form of even weight on 0 (N) with associated motive M f . Let K be a quadratic imaginary eld satisfying certain standard conditions. We improve a result of Nekov a r and prove that if a rational prime p is outside a nite set of primes ...
A. Besser
semanticscholar   +1 more source

A FILTRATION ON EQUIVARIANT BOREL–MOORE HOMOLOGY

open access: yesForum of Mathematics, Sigma, 2019
Let $G/H$ be a homogeneous variety and let $X$ be a $G$-equivariant embedding of $G/H$ such that the number of $G$-orbits in $X$ is finite. We show that the equivariant Borel–Moore homology of $X$ has a filtration with associated graded module the direct
ARAM BINGHAM   +2 more
doaj   +1 more source

THE MOTIVE OF THE HILBERT CUBE $X^{[3]}$

open access: yesForum of Mathematics, Sigma, 2016
The Hilbert scheme $X^{[3]}$ of length-3 subschemes of a smooth projective variety $X$
MINGMIN SHEN, CHARLES VIAL
doaj   +1 more source

CHOW GROUPS, CHOW COHOMOLOGY, AND LINEAR VARIETIES

open access: yesForum of Mathematics, Sigma, 2014
We compute the Chow groups and the Fulton–MacPherson operational Chow cohomology ring for a class of singular rational varieties including toric varieties.
BURT TOTARO
doaj   +1 more source

On the Chow ring of certain hypersurfaces in a Grassmannian [PDF]

open access: yes, 2019
This small note is about Pl\"ucker hyperplane sections $X$ of the Grassmannian $\operatorname{Gr}(3,V_{10})$. Inspired by the analogy with cubic fourfolds, we prove that the only non-trivial Chow group of $X$ is generated by Grassmannians of type ...
Laterveer, Robert
core   +4 more sources

There is no degree map for 0-cycles on Artin stacks

open access: yes, 2012
We show that there is no way to define degrees of 0-cycles on Artin stacks with proper good moduli spaces so that (i) the degree of an ordinary point is non-zero, and (ii) degrees are compatible with closed immersions.Comment: 3 ...
A Kresch   +8 more
core   +1 more source

Relative algebraic correspondences and mixed motivic sheaves

open access: yes, 2012
We introduce the notion of a quasi DG category , and give a procedure to construct a triangulated category associated to it. Then we apply it to the construction of the triangulated category of mixed motivic sheaves over a base variety. Introduction.
M. Hanamura
semanticscholar   +1 more source

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