Quartic Rings Associated to Binary Quartic Forms

DOI10.1093/imrn/rnr070zbMath1254.11094arXiv1007.5501OpenAlexW3098265477MaRDI QIDQ5389056

Melanie Matchett Wood

Publication date: 24 April 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.5501

zbMATH Keywords

cubic resolventsquartic ringsbinary quartic forms

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (6)

Quartic index form equations and monogenizations of quartic orders ⋮ A positive proportion of quartic fields are not monogenic yet have no local obstruction to being so ⋮ Picard curves over with good reduction away from 3 ⋮ Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves ⋮ The number of quartic 𝐷₄-fields with monogenic cubic resolvent ordered by conductor ⋮ Binary quartic forms with bounded invariants and small Galois groups

This page was built for publication: Quartic Rings Associated to Binary Quartic Forms