On an algebra associated to a ternary cubic curve.

DOI10.1016/j.jalgebra.2010.12.021zbMath1229.16013OpenAlexW2068552449MaRDI QIDQ555553

Jung-Miao Kuo

Publication date: 25 July 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.12.021

zbMATH Keywords

Brauer groupsClifford algebrasAzumaya algebrascubic curves

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Clifford algebras, spinors (15A66) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Brauer groups (algebraic aspects) (16K50) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items

Relative Brauer groups of torsors of period two ⋮ On some algebras associated to genus one curves ⋮ Computing the Cassels–Tate pairing on the 3-Selmer group of an elliptic curve ⋮ Classification of hyperbolic planes in algebras of degree three. ⋮ On cyclic twists of elliptic curves of period two or three and the determination of their relative Brauer groups ⋮ Relative Brauer groups of genus 1 curves ⋮ On quaternion algebras split by a given extension, Clifford algebras and hyperelliptic curves ⋮ On the generalized Clifford algebra of a monic polynomial

Uses Software

• RelBrauer

Cites Work

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• Linearizations of binary and ternary forms
• On Clifford algebras and conjugate splittings
• When is the Clifford algebra of a binary cubic form split?
• Algèbres de Clifford et algèbres exterieures
• Relative Brauer groups of genus 1 curves
• Separable algebras over commutative rings
• An algebra determined by a binary cubic form
• On the Clifford Algebra of a Binary Cubic Form
• Linearizing of n-ic forms and generalized Clifford algebras
• On the Clifford algebra of a binary form
• Jacobians of genus one curves.

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