Triangular involutions of the four-dimensional polynomial ring in characteristic two

2024/10/28 by Tanimoto, Ryuji
#Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13A50 #Secondary 14R10

paper · doi:10.48550/arxiv.2410.21167

Abstract

We are concerned with polynomial involutions in characteristic two. In this note, we look for involutions among triangular automorphisms of the four-dimensional polynomial ring in characteristic two and obtain three types of such involutions.

Related

• Involutions in triangular groups
• Involutions of type G₂ over a field of characteristic 2
• Products of involutions of an infinite-dimensional vector space
• Degeneration of tame automorphisms of a polynomial ring
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