REMARKS ON HILBERT’S TENTH PROBLEM AND THE IWASAWA THEORY OF ELLIPTIC CURVES
From MaRDI portal
Publication:6135512
DOI10.1017/s000497272200082xarXiv2206.06296OpenAlexW4293593323MaRDI QIDQ6135512
Publication date: 25 August 2023
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.06296
elliptic curvesIwasawa theoryHilbert's tenth problemvariation of Mordell-Weil ranks in towers of number fields
Decidability (number-theoretic aspects) (11U05) Elliptic curves over global fields (11G05) Iwasawa theory (11R23)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Towards Hilbert's tenth problem for rings of integers through Iwasawa theory and Heegner points
- On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
- \(p\)-adic height pairings. II
- Iwasawa theory of \(p\)-adic representations over a local field
- p-adic height pairings. I
- On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
- Extension of Hilbert's tenth problem to some algebraic number fields
- Hilbert's Tenth Problem for a Class of Rings of Algebraic Integers
- Diophantine relationships between algebraic number fields
- Elliptic curves retaining their rank in finite extensions and Hilbert's Tenth Problem for rings of algebraic numbers
- Diophantine Sets Over Algebraic Integer Rings. II
- Diophantine Sets over Some Rings of Algebraic Integers
- Statistics for Iwasawa invariants of elliptic curves
- Galois cohomology of elliptic curves