✦ LIBER ✦

The Iwasawa Main Conjecture and Gauss Sums

✍ Scribed by Miho Aoki

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 171 KB
Volume: 89
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.2001.2637

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✦ Synopsis

In this paper, we give a new proof of the Iwasawa main conjecture using the Euler systems of Gauss sums. Our proof is different from that of Mazur and Wiles and that of Rubin and Greither. Rubin's proof used the Euler systems of cyclotomic units and the plus part of the ideal class groups. Instead of cyclotomic units, we use the Euler systems of Gauss sums and directly study the minus part of the ideal class groups.