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Parametrizing quartic algebras over an arbitrary base

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Publication:435271
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DOI10.2140/ant.2011.5.1069zbMath1271.11043arXiv1007.5503OpenAlexW2963850748MaRDI QIDQ435271

Melanie Matchett Wood

Publication date: 11 July 2012

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.5503


zbMATH Keywords

parametrizationternary quadratic formsschemescubic resolventsdegree-\(4\) coversquartic algebrasquartic coversquartic rings


Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Cubic and quartic extensions (11R16)


Related Items (6)

Quintic rings over Dedekind domains and their sextic resolvents ⋮ Gauss composition for \(\mathbb{P}^1\), and the universal Jacobian of the Hurwitz space of double covers ⋮ A geometric approach to the Cohen-Lenstra heuristics ⋮ Positive-definite ternary quadratic forms with the same representations over ℤ ⋮ Rings of small rank over a Dedekind domain and their ideals ⋮ Isomorphisms of discriminant algebras




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