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On equivariant global epsilon constants for certain dihedral extensions |
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| Authors: | Manuel Breuning. |
| Affiliation: | Department of Mathematics, King's College London, Strand, London WC2R 2LS, United Kingdom |
| Abstract: | We consider a conjecture of Bley and Burns which relates the epsilon constant of the equivariant Artin  -function of a Galois extension of number fields to certain natural algebraic invariants. For an odd prime number  , we describe an algorithm which either proves the conjecture for all degree  dihedral extensions of the rational numbers or finds a counterexample. We apply this to show the conjecture for all degree  dihedral extensions of  . The correctness of the algorithm follows from a finiteness property of the conjecture which we prove in full generality. |
| Keywords: | Equivariant Tamagawa number conjecture equivariant epsilon constants dihedral extensions |
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