Tohoku Mathematical Journal
2018
September
SECOND SERIES VOL. 70, NO. 3

Tohoku Math. J.
70 (2018), 377-389

Title AN ELEMENTARY PROOF OF COHEN-GABBER THEOREM IN THE EQUAL CHARACTERISTIC $p>0$ CASE

Author Kazuhiko Kurano and Kazuma Shimomoto

(Received November 5, 2015, revised March 3, 2016)
Abstract. The aim of this article is to give a new proof of Cohen-Gabber theorem in the equal characteristic $p>0$ case.

Mathematics Subject Classification. Primary 12F10; Secondary 13B40, 13J10.
Key words and phrases. Coefficient field, complete local ring, differentials, $p$-basis.

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