Return of x + x²y + z² + t³ = 0

2004/06/21 by Anthony J. Crachiola, Crachiola, Anthony J.
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Meromorphic and Entire Functions #math.AC #math.AG #msc:13A50 #msc:14J30 #msc:14R20

paper · pdf · doi:10.48550/arxiv.math/0406414

arxiv created 2004/06/21 · arxiv updated 2009/12/01

Abstract

We develop techniques for computing the AK invariant of domains with arbitrary characteristic. As an example, we show that for any field K the ring K[X,Y,Z,T] / (X + X² Y + Z² + T³) is not isomorphic to a polynomial ring over K.

Related

• On automorphisms of Danielewski surfaces
• Affine surfaces with trivial Makar-Limanov invariant
• Coordinates, retracts and automorphisms
• The Last Aproach to the Settlement of the Jacobian Conjecture
• A note on \mathbbG_a-actions in positive characteristic