On the theory of congruence function fields

DOI10.1080/00927878008822538zbMath0435.12007OpenAlexW1972943211MaRDI QIDQ3874312

Manohar L. Madan, Daniel J. Madden

Publication date: 1980

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878008822538

zbMATH Keywords

congruence function fieldsabelian varieties not isogenous to Jacobian varietiesfield of algebraic functions over a finite fieldnumber of divisor classes

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Picard schemes, higher Jacobians (14K30) Arithmetic ground fields for abelian varieties (14K15) Iwasawa theory (11R23) Transcendental field extensions (12F20)

Related Items (9)

On geometric \({\mathbb{Z}}_ p\)-extensions of function fields ⋮ Class number growth of a family of \(\mathbb{Z}_p\)-extensions over global function fields ⋮ On stabilizers of algebraic function fields of one variable ⋮ On stable fields in positive characteristic ⋮ Algebraic function fields of one variable over finite fields are stable ⋮ Asymptotics of class number and genus for abelian extensions of an algebraic function field ⋮ On the independence of Heegner points in the function field case ⋮ Explicit bounds and heuristics on class numbers in hyperelliptic function fields ⋮ Some remarks on the theory of cyclotomic function fields

Cites Work

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• Analytische Zahlentheorie in Körpern der Charakteristik \(p\)
• Endomorphisms of Abelian varieties over finite fields
• Isogeny classes of abelian varieties over finite fields
• Lectures on the theory of algebraic functions of one variable
• Der Primdivisorsatz für algebraische Funktionenkörper über einem endlichen Konstantenkörper
• Stable Extensions and Fields with the Global Density Property
• Number of divisor classes in algebraic function fields

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