Euler systems in global function fields

DOI10.1007/BF02772630zbMath1008.11044MaRDI QIDQ5951501

Fei Xu, Jianqiang Zhao

Publication date: 9 April 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

ideal class numbercyclotomic function fieldcyclotomic unitsEuler systemGras conjecture

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Units and factorization (11R27) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Class numbers, class groups, discriminants (11R29)

Cites Work

• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• The ``main conjectures of Iwasawa theory for imaginary quadratic fields
• Class number formulas over global function fields
• On the index of cyclotomic units in characteristic \(p\) and its applications
• Kolyvagin's ``Euler systems in cyclotomic function fields
• Stark units and Kolyvagin's „Euler Systems“
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