On the conjecture of Lichtenbaum and of Chinburg over function fields

DOI10.1007/BF01455066zbMath0662.14007OpenAlexW2008920766WikidataQ123146512 ScholiaQ123146512MaRDI QIDQ1113955

Sunghan Bae

Publication date: 1989

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164610

zbMATH Keywords

placesGalois cohomologyEuler characteristicArtin L-functionssmooth projective curve over a finite field

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Galois cohomology (12G05) Arithmetic ground fields for curves (14H25) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Related Items

On derivatives of Artin \(L\)-series ⋮ On Geometric Iwasawa Theory and Special Values of Zeta Functions ⋮ Values of \(L\)-functions at \(s = 0\) ⋮ Congruences between derivatives of geometric \(L\)-functions. With an appendix by David Burns, King Fai Lai and Ki-Seng Tan

Cites Work

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• K-theory of finite groups and orders. Notes by E. Graham Evans
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• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Notes on Crystalline Cohomology. (MN-21)
• Notes on étale cohomology of number fields
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