On unit signatures and narrow class groups of odd degree abelian number fields

Autor: Benjamin Breen, Ila Varma, John Voight
Rok vydání: 2023
Předmět:
Zdroj: Transactions of the American Mathematical Society, Series B. 10:86-128
ISSN: 2330-0000
DOI: 10.1090/btran/90
Popis: For an abelian number field of odd degree, we study the structure of its 2 2 -Selmer group as a bilinear space and as a Galois module. We prove structural results and make predictions for the distribution of unit signature ranks and narrow class groups in families where the degree and Galois group are fixed.
Databáze: OpenAIRE