The Galois Module Structure of ℓ-adic Realizations of Picard 1-motives and Applications

DOI10.1093/imrn/rnr049zbMath1254.11063arXiv1005.0661OpenAlexW2963819769MaRDI QIDQ3224205

Cristian D. Popescu, Cornelius Greither

Publication date: 29 March 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.0661

zbMATH Keywords

Galois module structureL-functionsBrumer-Stark conjectureCoates-Sinnott conjecturePicard 1-motives

Mathematics Subject Classification ID

Geometric class field theory (11G45) Curves over finite and local fields (11G20) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Varieties over finite and local fields (11G25) (p)-adic cohomology, crystalline cohomology (14F30) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (12)

An Equivariant Main Conjecture in Iwasawa theory and applications ⋮ Abstract \(\ell\)-adic 1-motives and Tate's canonical class for number fields ⋮ Stickelberger series and main conjecture for function fields ⋮ Iwasawa main conjecture for the Carlitz cyclotomic extension and applications ⋮ Fitting invariants in equivariant Iwasawa theory ⋮ On higher order Stickelberger-type theorems ⋮ Non-communtative Iwasawa main conjecture ⋮ Fitting ideals of class groups in Carlitz-Hayes cyclotomic extensions ⋮ On the non-abelian Brumer-Stark conjecture and the equivariant Iwasawa main conjecture ⋮ Picard 1-motives and Tate sequences for function fields ⋮ Families of curves with Galois action and their \(L\)-functions ⋮ An equivariant Tamagawa number formula for Drinfeld modules and applications

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