Unramified elements in cycle modules

By Alexander S. Merkurjev. 2008

67 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/8cf1b70fc276fbbf2ac464c783aba0d57ea1a8a8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. B. Totaro
2. David Anderson
3. Sam Payne

In Geometry and Topology

1. B. Totaro
2. Sam Payne
3. Max Lieblich
4. Philipp Gross
5. Fabio Nironi
6. Y. Félix
7. N. Perrin
8. Stefan Schreieder

Citations in the corpus

• Hypersurfaces that are not stably rational (2015, background): “2), or X has trivial unramified cohomology with coefficients in any cycle module [17], or all Chow groups of X below the top dimension are universally supported on a divisor.”
• The motive of a classifying space (2014, background): “The statement includes Merkurjev’s theorem that the Chow group of zero-cycles on X is unchanged under field extensions if and only if the unramified cohomology of X in the most general sense is trivial [39].”