The existence of infinitely many cubic fields with class group of exact 2-rank 1

Fuente: arXiv
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Auteurs principaux: Bhargava, Manjul, Shankar, Arul, Siad, Artane, Swaminathan, Ashvin
Format: Preprint
Publié: 2026
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author Bhargava, Manjul
Shankar, Arul
Siad, Artane
Swaminathan, Ashvin
author_facet Bhargava, Manjul
Shankar, Arul
Siad, Artane
Swaminathan, Ashvin
contents We show that infinitely many cubic fields have class group of 2-rank 1.
format Preprint
id arxiv_https___arxiv_org_abs_2602_06894
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The existence of infinitely many cubic fields with class group of exact 2-rank 1
Bhargava, Manjul
Shankar, Arul
Siad, Artane
Swaminathan, Ashvin
Number Theory
11R16, 11R29
We show that infinitely many cubic fields have class group of 2-rank 1.
title The existence of infinitely many cubic fields with class group of exact 2-rank 1
topic Number Theory
11R16, 11R29
url https://arxiv.org/abs/2602.06894