On a noncommutative Iwasawa main conjecture for varieties over finite fields

Abstract

In 2005 Coates, Fukaya, Kato, Sujatha, and Venjakob formulated a noncommutative Iwasawa main conjecture for l-adic Lie extensions of number fields. To provide evidence for this main conjecture we formulate and prove an analogous statement for l-adic Lie extensions of separated schemes of finite type over a finite field of characteristic prime to l.

31 pages, minor changes, to appear in JEMS

References in corpus (4)

• The GL_2 main conjecture for elliptic curves without complex multiplication
• On the Selmer groups of abelian varieties over function fields of characteristic p>0
• Equivariant Bloch-Kato conjecture and non-abelian Iwasawa Main Conjecture
• The 1-type of a Waldhausen K-theory spectrum

Cited by in corpus (1)

• Control Theorems for l-adic Lie extensions of global function fields