Horizontal Ga-actions on affine T-varieties of complexity one
Kevin Langlois
TL;DR
This paper classifies certain algebraic group actions on affine varieties with a torus symmetry of complexity one, extending previous classifications to more general fields.
Contribution
It generalizes the classification of horizontal Ga-actions on affine T-varieties of complexity one to arbitrary fields, beyond perfect fields.
Findings
Complete classification of horizontal Ga-actions over any field.
Extension of previous results limited to perfect fields.
Broader understanding of algebraic group actions on affine varieties.
Abstract
We classify the -actions on normal affine varieties defined over any field that are horizontal with respect to a torus action of complexity one. This generalizes previous results that were available for perfect ground fields (cf. [Flenner-Zaidenberg2005, Liendo2010, L-Liendo2016]).
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Nonlinear Waves and Solitons