On p-adic L-series, p-adic cohomology and class field theory
-
David Burns
and
Daniel Macias Castillo
Abstract
We establish several close links between the Galois structures of a range of arithmetic modules including certain natural families of ray class groups, the values at strictly positive integers of p-adic Artin L-series, the Shafarevich–Weil Theorem and the conjectural surjectivity of certain norm maps in cyclotomic
Acknowledgements
The first author is very grateful to Cornelius Greither for pointing out an error in an earlier version of the computations that are made in Section 4 and to Alexander Schmidt for advice concerning Leopoldt’s Conjecture.
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© 2018 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Symplectic and isometric SL(2,#x211D;)-invariant subbundles of the Hodge bundle
- Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem
- On p-adic L-series, p-adic cohomology and class field theory
- Towards the Andre–Oort conjecture for mixed Shimura varieties: The Ax–Lindemann theorem and lower bounds for Galois orbits of special points
- The Chern character of the Verlinde bundle over ℳ¯g,n
-
- Tropical mirror symmetry for elliptic curves
- Remarks on commutators in finite groups
- On the structure of quantum automorphism groups
Articles in the same Issue
- Frontmatter
- Symplectic and isometric SL(2,#x211D;)-invariant subbundles of the Hodge bundle
- Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem
- On p-adic L-series, p-adic cohomology and class field theory
- Towards the Andre–Oort conjecture for mixed Shimura varieties: The Ax–Lindemann theorem and lower bounds for Galois orbits of special points
- The Chern character of the Verlinde bundle over ℳ¯g,n
-
- Tropical mirror symmetry for elliptic curves
- Remarks on commutators in finite groups
- On the structure of quantum automorphism groups
