Fitting ideals of ℓ-adic realizations of Picard 1-motives and class groups of global function fields

DOI10.1515/crelle.2012.003zbMath1294.11103OpenAlexW2073482859MaRDI QIDQ4910701

Cornelius Greither, Cristian D. Popescu

Publication date: 19 March 2013

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2012.003

zbMATH Keywords

class groupFitting idealsmooth projective curveBrumer's conjecturePicard \(1\)-motive

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Geometric class field theory (11G45) Curves over finite and local fields (11G20) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)

Related Items (6)

An Equivariant Main Conjecture in Iwasawa theory and applications ⋮ On Geometric Iwasawa Theory and Special Values of Zeta Functions ⋮ Stickelberger series and main conjecture for function fields ⋮ Fitting ideals in number theory and arithmetic ⋮ Iwasawa main conjecture for the Carlitz cyclotomic extension and applications ⋮ Fitting ideals of class groups in Carlitz-Hayes cyclotomic extensions

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