Big fields that are not large

DOI10.1090/bproc/57zbMath1468.11218arXiv2004.08989OpenAlexW3098409339MaRDI QIDQ5855577

Karl Rubin, Barry Mazur

Publication date: 19 March 2021

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.08989

zbMATH Keywords

algebraic curveslarge fieldsbig fields

Mathematics Subject Classification ID

Decidability (number-theoretic aspects) (11U05) Rational points (14G05) Algebraic numbers; rings of algebraic integers (11R04)

Related Items

The work of Barry Mazur

Uses Software

• LMFDB

Cites Work

• Unnamed Item
• Disparity in Selmer ranks of quadratic twists of elliptic curves
• Ranks of twists of elliptic curves and Hilbert's tenth problem
• Rings of algebraic numbers in infinite extensions of \(\mathbb Q\) and elliptic curves retaining their rank
• Embedding problems over large fields
• Finding large Selmer rank via an arithmetic theory of local constants
• Galois properties of points of finite order of elliptic curves
• A Markov model for Selmer ranks in families of twists
• ON THE RANK OF ABELIAN VARIETIES OVER AMPLE FIELDS
• Kolyvagin systems
• Diophantine stability

This page was built for publication: Big fields that are not large