Models of affine curves and Ga-actions
Kevin Langlois
TL;DR
This paper classifies affine curves over discrete valuation rings with free additive group actions, extending Miyanishi's results from characteristic zero to more general settings.
Contribution
It generalizes the classification of affine curves with additive group actions to broader contexts over discrete valuation rings.
Findings
Classification of affine curves with Ga-actions over DVRs
Extension of Miyanishi's results to new settings
Framework for understanding additive group actions on affine curves
Abstract
Using the approach of Barkatou and El Kaoui, we classify certain affine curves over discrete valuation rings having a free additive group action. Our classification generalizes results of Miyanishi in equi-characteristic 0.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology