RUS  ENG
Full version
JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1979 Volume 109(151), Number 3(7), Pages 395–409 (Mi sm2391)

This article is cited in 1 paper

A seven-term sequence in the Galois theory of schemes

A. S. Merkur'ev


Abstract: For any extension of schemes a seven-term exact sequence is constructed, coinciding in the affine case with the Chase–Rosenberg five-term sequence. At the end of the paper the seven-term sequence is applied to resolve some questions in class field theory.
Bibligraphy: 17 titles.

UDC: 513.836

MSC: Primary 14F20; Secondary 14F05, 13D05, 18F10

Received: 04.07.1978


 English version:
Mathematics of the USSR-Sbornik, 1980, 37:3, 367–380

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025