# Hilbert's Theorem 90 for K2, with Application to the Chow Groups of Rational Surfaces.

Inventiones mathematicae (1983)

- Volume: 71, page 1-20
- ISSN: 0020-9910; 1432-1297/e

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topColliot-Thélène, Jean-Louis. "Hilbert's Theorem 90 for K2, with Application to the Chow Groups of Rational Surfaces.." Inventiones mathematicae 71 (1983): 1-20. <http://eudml.org/doc/142982>.

@article{Colliot1983,

author = {Colliot-Thélène, Jean-Louis},

journal = {Inventiones mathematicae},

keywords = {Chow groups; group of zero-dimensional cycles; rational equivalence; rational surface; K-theoretic methods; finiteness theorems; rational point; good reduction; geometrically integral variety; vanishing theorem},

pages = {1-20},

title = {Hilbert's Theorem 90 for K2, with Application to the Chow Groups of Rational Surfaces.},

url = {http://eudml.org/doc/142982},

volume = {71},

year = {1983},

}

TY - JOUR

AU - Colliot-Thélène, Jean-Louis

TI - Hilbert's Theorem 90 for K2, with Application to the Chow Groups of Rational Surfaces.

JO - Inventiones mathematicae

PY - 1983

VL - 71

SP - 1

EP - 20

KW - Chow groups; group of zero-dimensional cycles; rational equivalence; rational surface; K-theoretic methods; finiteness theorems; rational point; good reduction; geometrically integral variety; vanishing theorem

UR - http://eudml.org/doc/142982

ER -

## Citations in EuDML Documents

top- Martin Bright, Torsors under tori and Néron models
- Christophe Soulé, ${K}_{2}$ et le groupe de Brauer
- B. Eh. Kunyavskij, A. N. Skorobogatov, M. A. Tsfasman, Del Pezzo surfaces of degree four
- Jean-Luc Brylinski, Pierre Deligne, Central extensions of reductive groups by ${K}_{2}$
- Jean-Louis Colliot-Thélène, L'arithmétique du groupe de Chow des zéro-cycles
- Jean-Louis Colliot-Thélène, L'arithmétique des variétés rationnelles

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