Die Ordnung der Schafarewitsch‐Tate‐Gruppe kann beliebig groß werden

DOI10.1002/mana.19750671003zbMath0314.14008OpenAlexW2021787508MaRDI QIDQ4073481

Reinhard Bölling

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1002/mana.19750671003

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Arithmetic ground fields for curves (14H25) Local ground fields in algebraic geometry (14G20) Arithmetic ground fields for abelian varieties (14K15) Global ground fields in algebraic geometry (14G25)

Related Items (17)

The \(p\)-part of Tate-Shafarevich groups of elliptic curves can be arbitrarily large ⋮ ON SELMER GROUPS AND TATE–SHAFAREVICH GROUPS FOR ELLIPTIC CURVESy²=x³−n³ ⋮ Potential \(\text Ш\) for abelian varieties ⋮ Arbitrarily large Tate-Shafarevich group on abelian surfaces ⋮ Elements of class groups and Shafarevich-Tate groups of elliptic curves ⋮ A Family of Semistable Elliptic Curves with Large Tate-Shafarevitch Groups ⋮ Large Shafarevich-Tate groups over quadratic number fields ⋮ Distribution of Selmer groups of quadratic twists of a family of elliptic curves ⋮ Construction of elliptic curves with large Iwasawa \(\lambda\)-invariants and large Tate-Shafarevich groups ⋮ Average size of $2$-Selmer groups of elliptic curves, I ⋮ On elliptic curves with large Tate-Shafarevich groups ⋮ Some examples of 5 and 7 descent for elliptic curves over \(\mathbb{Q}\) ⋮ Arbitrarily large 2-torsion in Tate–Shafarevich groups of abelian varieties ⋮ Selmer groups and class groups ⋮ Arithmetic invariant theory ⋮ The Cassels-Tate pairing and the Platonic solids. ⋮ Selmer groups of elliptic curves that can be arbitrarily large.

Cites Work

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