Idempotent relations among arithmetic invariants attached to number fields and algebraic varieties

DOI10.1006/jnth.1994.1014zbMath0853.14011OpenAlexW2034289132MaRDI QIDQ1320505

Ernst Kani, Michael I. Rosen

Publication date: 6 January 1997

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1994.1014

zbMATH Keywords

\(L\)-functionsclass numbersGalois coveringBetti numberszeta-functionsvarieties over finite fieldsrank of the Mordell-Weil groupconjectures of Birch-Swinnerton-Dyergroup of automorphisms of smooth curveTate conjectures on algebraic cycles

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Coverings of curves, fundamental group (14H30) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Class numbers, class groups, discriminants (11R29)

Related Items (8)

Boomerang uniformity of power permutations and algebraic curves over \(\mathbb{F}_{2^n}\) ⋮ Norm relations and computational problems in number fields ⋮ Idempotent relations and the conjecture of Birch and Swinnerton-Dyer ⋮ Actions of Galois groups on invariants of number fields ⋮ Arithmetic equivalence for function fields, the Goss zeta function and a generalisation ⋮ Counting periodic points on quotient varieties over \(\mathbb{F}_q\) ⋮ An alternate proof of idempotent relations among periodic points and quotients ⋮ Arithmetic equivalence for non-geometric extensions of global function fields

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