Riemann-Hurwitz formula and p-adic Galois representations for number fields
From MaRDI portal
Publication:1156184
DOI10.2748/tmj/1178229453zbMath0468.12004OpenAlexW2049434568MaRDI QIDQ1156184
Publication date: 1981
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1178229453
Arithmetic theory of algebraic function fields (11R58) Elliptic curves (14H52) Galois cohomology (11R34)
Related Items
On the Iwasawa invariants for links and Kida’s formula, Invariant generalized ideal classes -- structure theorems for \(p\)-class groups in \(p\)-extensions, Structure of semisimple differentials and p-class groups in \({\mathbb{Z}}_ p\)-extensions, Relations among Iwasawa invariants, On the Iwasawa \(\mu\)-invariants of branched \(\mathbf Z_p\)-covers, No general Riemann-Hurwitz formula for relative \(p\)-class groups, An equivariant main conjecture in Iwasawa theory without the assumption \(\mu = 0\), Iwasawa invariants for elliptic curves over \(\mathbb{Z}_p\)-extensions and Kida's formula, An Equivariant Main Conjecture in Iwasawa theory and applications, On the vanishing of Iwasawa invariants of certain \((p,p)\)-extensions of \(\mathbb{Q}\), On the failure of pseudo-nullity of Iwasawa modules, \(p\)-Johnson homomorphisms and pro-\(p\) groups, On the cohomology of Kobayashi’s plus/minus norm groups and applications, Unnamed Item, On stronger versions of Brumer's conjecture, Cohomology of normic systems and fake \(\mathbb{Z}_p\)-extensions, On the class groups of imaginary abelian fields, The arithmetic structure of the Galois group of the maximal nilpotent extension of an algebraic number field, Unnamed Item, Iwasawa Theory, projective modules, and modular representations, On λ-invariants of number fields and étale cohomology, Iwasawa invariants, On tamely ramified Iwasawa modules for the cyclotomic \(\mathbb {Z}_{p}\)-extension of abelian fields, An analogue of Kida's formula for fine Selmer groups of elliptic curves, A Riemann-Hurwitz formula for the Selmer group of an elliptic curve, GENERALIZATIONS OF IWASAWA'S "RIEMANN–HURWITZ" FORMULA FOR CYCLIC p-EXTENSIONS OF NUMBER FIELDS, An alternative approach to Kida and Ferrero's computations of Iwasawa \(\lambda\)-invariants, On the Iwasawa $\lambda $-invariant of the cyclotomic $\mathbb {Z}_2$-extension of $\mathbb {Q}(\sqrt {p} )$, Integral representations of p-class groups in \({\mathbb{Z}}_ p\)-extensions, semisimple differentials and Jacobians, Unnamed Item, Some remarks on Kida's formula when \(\mu\neq 0\), Unnamed Item, Unnamed Item, On the maximal \(p\)-extensions of real quadratic-fields unramified outside \(p\), On the \(\lambda\)-invariants of totally real fields, On the Iwasawa \(\lambda\)-invariant of the cyclotomic \(\mathbb Z_2\)-extension of a real quadratic field, On the structure of the Galois group of the maximal pro-\(p\) extension with restricted ramification over the cyclotomic \(\mathbb{Z}_p\)-extension, ON THE ℤp-RANKS OF TAMELY RAMIFIED IWASAWA MODULES, Class group rank relations in \(Z_p\)-extensions, On a new characterization of Demuskin groups, \(K_ 3\) and \(p\)- adic Riemann-Hurwitz formulas
Cites Work
- Unnamed Item
- The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
- \(\ell\)-extensions of CM-fields and cyclotomic invariants
- Über das Verhalten der Integrale 1. Gattung bei Automorphismen des Funktionenkörpers
- On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
- Galois groups of extensions of algebraic number fields with given ramification
- On Γ-extensions of algebraic number fields
- Die Einseinheitengruppe von p-Erweiterungen regulärer -adischer Zahlkörper als Galoismodul.