30 citations · 84 across the 14 of their papers we have counts for
15 papers · 1 filter
Integrality of Stickelberger elements and annihilation of natural Galois modules
Nils Ellerbrock, Andreas Nickel
To each Galois extension of number fields with Galois group and each integer one can associate Stickelberger elements in the centre of the rational group ring…
The strong Stark conjecture for totally odd characters
Andreas Nickel
We prove the -part of the strong Stark conjecture for every totally odd character and every odd prime . Let be a finite Galois CM-extension with Galois group , which…
An unconditional proof of the abelian equivariant Iwasawa main conjecture and applications
Henri Johnston, Andreas Nickel
Let be an odd prime. We give an unconditional proof of the equivariant Iwasawa main conjecture for totally real fields for every admissible one-dimensional -adic Lie extensi…
On the -adic Beilinson conjecture and the equivariant Tamagawa number conjecture
Andreas Nickel
Let be a finite Galois extension of totally real number fields with Galois group . Let be an odd prime and let be an odd integer. The -adic Beilinson conjectu…
An equivariant Iwasawa main conjecture for local fields
Andreas Nickel
Let be a finite Galois extension of -adic fields and let be the unramified -extension of . Then is a one-dimensional -adic L…
A generalization of a theorem of Swan with applications to Iwasawa theory
Andreas Nickel
Let be a prime and let be a finite group. By a celebrated theorem of Swan, two finitely generated projective -modules and are isomorphic if and onl…
Conjectures of Brumer, Gross and Stark
Andreas Nickel
We give an introduction to generalisations of conjectures of Brumer and Stark on the annihilator of the class group of a number field. We review the relation to the equivariant Tam…
Annihilating wild kernels
Andreas Nickel
Let be a finite Galois extension of number fields with Galois group . Let be an odd prime and be an integer. Assuming a conjecture of Schneider, we formulate a c…
On the p-adic Stark conjecture at s=1 and applications
Henri Johnston, Andreas Nickel
Let E/F be a finite Galois extension of totally real number fields and let p be a prime. The `p-adic Stark conjecture at s=1' relates the leading terms at s=1 of p-adic Artin L-fun…
On formal groups and Tate cohomology in local fields
Nils Ellerbrock, Andreas Nickel
Let be a Galois extension of local fields of characteristic with Galois group . If is a formal group over the ring of integers in , one can associate…
On the non-abelian Brumer-Stark conjecture and the equivariant Iwasawa main conjecture
Henri Johnston, Andreas Nickel
We show that for an odd prime p, the p-primary parts of refinements of the (imprimitive) non-abelian Brumer and Brumer-Stark conjectures are implied by the equivariant Iwasawa main…
Hybrid Iwasawa algebras and the equivariant Iwasawa main conjecture
Henri Johnston, Andreas Nickel
Let p be an odd prime. We give an unconditional proof of the equivariant Iwasawa main conjecture for totally real fields for an infinite class of one-dimensional non-abelian p-adic…
On the equivariant Tamagawa number conjecture for Tate motives and unconditional annihilation results
Henri Johnston, Andreas Nickel
Let L/K be a finite Galois extension of number fields with Galois group G. Let p be a rational prime and let r be a non-positive integer. By examining the structure of the p-adic g…
Equivariant Iwasawa theory and non-abelian Stark-type conjectures
Andreas Nickel
We discuss three different formulations of the equivariant Iwasawa main conjecture attached to an extension K/k of totally real fields with Galois group G, where k is a number fiel…
Integrality of Stickelberger elements and the equivariant Tamagawa number conjecture
Andreas Nickel
Let be a finite Galois CM-extension of number fields with Galois group . In an earlier paper, the author has defined a module over the center of the group ring…