HEURISTICS FOR THE ARITHMETIC OF ELLIPTIC CURVES

DOI10.1142/9789813272880_0060zbMath1443.11100arXiv1711.10112OpenAlexW2972435211MaRDI QIDQ5122035

Bjorn Poonen

Publication date: 22 September 2020

Published in: Proceedings of the International Congress of Mathematicians (ICM 2018) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.10112

zbMATH Keywords

abelian varietyelliptic curverankShafarevich-Tate groupSelmer group

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Arithmetic ground fields for abelian varieties (14K15) Global ground fields in algebraic geometry (14G25)

Related Items (5)

On the distribution of equivalence classes of random symmetric p‐adic matrices ⋮ Computational Number Theory, Past, Present, and Future ⋮ RANK JUMPS AND GROWTH OF SHAFAREVICH–TATE GROUPS FOR ELLIPTIC CURVES IN -EXTENSIONS ⋮ The even parity Goldfeld conjecture: congruent number elliptic curves ⋮ Computing newforms using supersingular isogeny graphs

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