On a noncommutative Iwasawa main conjecture for varieties over finite fields
نویسندگان
چکیده
We formulate and prove an analogue of the noncommutative Iwasawa main conjecture for `-adic Lie extensions of a separated scheme X of finite type over a finite field of characteristic prime to `.
منابع مشابه
IWASAWA THEORY OF TOTALLY REAL FIELDS FOR CERTAIN NON-COMMUTATIVE p-EXTENSIONS
In this paper, we prove the Iwasawa main conjecture (in the sense of [CFKSV]) of totally real fields for certain specific noncommutative p-adic Lie extensions, using the integral logarithms introduced by Oliver and Taylor. Our result gives certain generalization of Kato’s proof of the main conjecture for Galois extensions of Heisenberg type ([Kato1]). 0. Introduction 0.
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