Towards Hilbert's tenth problem for rings of integers through Iwasawa theory and Heegner points

DOI10.1007/s00208-020-01991-wzbMath1469.11168arXiv1909.01434OpenAlexW3017524085MaRDI QIDQ785335

Hector Pasten, Natalia Garcia-Fritz

Publication date: 6 August 2020

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

Full work available at URL: https://arxiv.org/abs/1909.01434

zbMATH Keywords

elliptic curvesHilbert's Tenth ProblemDiophantine definitions

Mathematics Subject Classification ID

Decidability (number-theoretic aspects) (11U05) Elliptic curves over global fields (11G05)

Related Items (9)

NOTES ON THE DPRM PROPERTY FOR LISTABLE STRUCTURES ⋮ Existential decidability for addition and divisibility in holomorphy subrings of global fields ⋮ Rank growth of elliptic curves over 𝑁-th root extensions ⋮ Existential definability and diophantine stability ⋮ REMARKS ON HILBERT’S TENTH PROBLEM AND THE IWASAWA THEORY OF ELLIPTIC CURVES ⋮ RANK JUMPS AND GROWTH OF SHAFAREVICH–TATE GROUPS FOR ELLIPTIC CURVES IN -EXTENSIONS ⋮ Superficies elípticas y el décimo problema de Hilbert ⋮ \(\lambda\)-invariant stability in families of modular Galois representations ⋮ Diophantine problems in solvable groups

Uses Software

• LMFDB

Cites Work

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