A two-dimensional rationality problem and intersections of two quadrics

Let k be a field with char k ≠ 2 and k be not algebraically closed. Let a ∈ k \ k 2 and L = k ( a ) ( x , y ) be a field extension of k where x ,  y are algebraically independent over k . Assume that σ is a k -automorphism on L defined by σ : a ↦ - a , x ↦ b x , y ↦ c ( x + b x ) + d y where b , c ,...

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Veröffentlicht in:	Manuscripta mathematica 2022-07, Vol.168 (3-4), p.423-437
Hauptverfasser:	Hoshi, Akinari, Kang, Ming-Chang, Kitayama, Hidetaka, Yamasaki, Aiichi
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Automorphisms Calculus of Variations and Optimal Control Optimization Geometry Intersections Lie Groups Mathematics Mathematics and Statistics Number Theory Topological Groups
Online-Zugang:	Volltext
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