On large Iwasawa \(\lambda\)-invariants of imaginary quadratic function fields

DOI10.1007/s11139-023-00717-1zbMath1528.11116arXiv2207.13902OpenAlexW4367048443MaRDI QIDQ6060208

Anwesh Ray

Publication date: 3 November 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.13902

zbMATH Keywords

Iwasawa invariantsCohen-Lenstra heuristicsIwasawa theory over function fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Class field theory (11R37) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Cites Work

• Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields
• Construction of elliptic curves with large Iwasawa \(\lambda\)-invariants and large Tate-Shafarevich groups
• A note on basic Iwasawa \(\lambda\)-invariants of imaginary quadratic fields
• The Hilbert class field in function fields
• On the non-triviality of the basic Iwasawa λ-invariant for an infinitude of imaginary quadratic fields
• Modeling λ‐invariants by p‐adic random matrices
• Class Number in Constant Extensions of Elliptic Function Fields
• A note on ray class fields of global fields
• On Iwasawa 𝜆-invariants for abelian number fields and random matrix heuristics
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