On binary cubic and quartic forms

DOI10.5802/jtnb.1083zbMath1478.11061arXiv1610.09208OpenAlexW2544050567WikidataQ126832203 ScholiaQ126832203MaRDI QIDQ2198361

Stanley Yao Xiao

Publication date: 10 September 2020

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.09208

zbMATH Keywords

automorphism groupscubic and quartic binary formscubic and quartic surfaces

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Cubic and quartic Diophantine equations (11D25) Automorphisms and endomorphisms of algebraic structures (08A35)

Related Items (4)

On the representation of integers by binary forms defined by means of the relation \((x + yi)^n= R_n(x,y) + J_n(x,y)i\) ⋮ On the automorphism group of a binary form associated with algebraic trigonometric quantities ⋮ On monic abelian cubics ⋮ Binary quartic forms with bounded invariants and small Galois groups

Cites Work

• The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
• Klein forms and the generalized superelliptic equation
• Counting rational points on hypersurfaces of low dimension
• On binary quartic forms.
• Reduction of Binary Cubic and Quartic Forms
• The practical computation of areas associated with binary quartic forms
• On binary cubic forms: II
• On binary cubic forms.
• On Arithmetical Properties of Quartic Surfaces
• On the representation of integers by binary forms
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