Tschirnhausen transformation of a cubic generic polynomial and a \(2\)-dimensional involutive Cremona transformation

DOI10.3792/pjaa.83.21zbMath1126.14018OpenAlexW1976377026MaRDI QIDQ2381152

Katsuya Miyake, Akinari Hoshi

Publication date: 25 September 2007

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1176126885

zbMATH Keywords

general Noether probleminvolutive Cremona transformation

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Inverse Galois theory (12F12)

Related Items (6)

A rationality problem of some Cremona transformation ⋮ ON THE FIELD INTERSECTION PROBLEM OF SOLVABLE QUINTIC GENERIC POLYNOMIALS ⋮ On the simplest sextic fields and related Thue equations ⋮ On the Simplest Quartic Fields and Related Thue Equations ⋮ Twists of Hessian elliptic curves and cubic fields ⋮ QUINTIC POLYNOMIALS OF HASHIMOTO–TSUNOGAI, BRUMER AND KUMMER

Uses Software

• Mathematica

Cites Work

• On Castelnuovo's criterion of rationality P\(_a\)=P\(_2\)=0 of an algebraic surface
• Finite groups of essential dimension one
• Twists of Hessian elliptic curves and cubic fields
• Polynomials with Frobenius groups of prime degree as Galois groups. II
• On the lattice of normal subgroups of a direct product
• Arithmetic of Rikuna's generic cyclic polynomial and generalization of Kummer theory
• Parametrization of the quadratic fields whose class numbers are divisible by three
• The transitive groups of degree up to eleven⁺
• Birational involutions of \({\mathbb{P}}^ 2\).
• Generic polynomials are descent-generic
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