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An analog of the Iwasawa conjecture for a compact hyperbolic threefold
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Ken-ichi Sugiyama
Published/Copyright:
February 5, 2008
Abstract
For a local system on a compact hyperbolic threefold, under a cohomological assumption, we will show that the order of its twisted Alexander polynomial and of the Ruelle L-function at s = 0 coincide. Moreover we will show that their leading constants are also identical. These results may be considered as a solution of a geomeric analogue of the Iwasawa conjecture in the algebraic number theory.
Received: 2006-06-01
Published Online: 2008-02-05
Published in Print: 2007-12-19
© Walter de Gruyter
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Articles in the same Issue
- Elliptic divisibility sequences and undecidable problems about rational points
- An analog of the Iwasawa conjecture for a compact hyperbolic threefold
- Purely infinite C*-algebras of real rank zero
- Capitulation, ambiguous classes and the cohomology of the units
- Heat semigroup and functions of bounded variation on Riemannian manifolds
- Pseudodifferential operators on locally compact abelian groups and Sjöstrand's symbol class
- Galois module structure of Galois cohomology and partial Euler-Poincaré characteristics
- Detecting pro-p-groups that are not absolute Galois groups
- Twisted Burnside-Frobenius theory for discrete groups
- Non-cyclotomic presentations of modules and prime-order automorphisms of Kirchberg algebras
