Congruences between derivatives of geometric \(L\)-functions. With an appendix by David Burns, King Fai Lai and Ki-Seng Tan

DOI10.1007/s00222-010-0286-3zbMath1234.11080OpenAlexW2027593035MaRDI QIDQ538405

David J. Burns

Publication date: 25 May 2011

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-010-0286-3

zbMATH Keywords

function fields\(L\)-functionsleading termsgeometric Iwasawa theory

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) (K_0) of group rings and orders (19A31) (K_1) of group rings and orders (19B28) Class groups and Picard groups of orders (11R65)

Related Items (9)

The Iwasawa Main Conjecture for constant ordinary abelian varieties over function fields ⋮ Aspects of Iwasawa theory over function fields ⋮ On the minus component of the equivariant Tamagawa number conjecture for \(\mathbb{G}_m\) ⋮ On derivatives of Artin \(L\)-series ⋮ On Geometric Iwasawa Theory and Special Values of Zeta Functions ⋮ Stickelberger series and main conjecture for function fields ⋮ THE EQUIVALENCE OF RUBIN'S CONJECTURE AND THE ETNC/LRNC FOR CERTAIN BIQUADRATIC EXTENSIONS ⋮ Iwasawa main conjecture for the Carlitz cyclotomic extension and applications ⋮ On higher order Stickelberger-type theorems

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