Selmer groups and class groups

DOI10.1112/S0010437X14007441zbMath1319.11037arXiv1307.4261OpenAlexW2119769955MaRDI QIDQ5248723

Kęstutis Česnavičius

Publication date: 8 May 2015

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.4261

zbMATH Keywords

Iwasawa theoryclass groupSelmer groupfppf cohomology

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Abelian varieties of dimension (> 1) (11G10) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)

Related Items (3)

The growth of Tate–Shafarevich groups in cyclic extensions ⋮ Growth of Fine Selmer Groups in Infinite Towers ⋮ Elliptic surfaces over ℙ1 and large class groups of number fields

Cites Work

• Unnamed Item
• Potential \(\text Ш\) for abelian varieties
• \(L\)-functions with large analytic rank and abelian varieties with large algebraic rank over function fields
• Period, index and potential \(\text Ш\)
• On \(L\)-functions of elliptic curves and cyclotomic towers
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• Class groups and Selmer groups
• Rational points of Abelian varieties with values in towers of number fields
• Éléments de géométrie algébrique. I: Le langage des schémas. II: Étude globale élémentaire de quelques classe de morphismes. III: Étude cohomologique des faisceaux cohérents (première partie)
• Abelian varieties over \(p\)-adic ground fields
• On the Selmer groups of abelian varieties over function fields of characteristic p > 0
• Die Ordnung der Schafarewitsch‐Tate‐Gruppe kann beliebig groß werden
• Abelian varieties over finite fields
• Group schemes of prime order
• Axiomatic characterization of fields by the product formula for valuations
• Real algebraic curves

This page was built for publication: Selmer groups and class groups