Abstract
We describe the structure of geometric quotients for proper locally triangulable -actions on locally trivial -bundles over a nœtherian normal base scheme defined over a field of characteristic . In the case where , we show in particular that every such action is a translation with geometric quotient isomorphic to the total space of a vector bundle of rank over . As a consequence, every proper triangulable -action on the affine four space over a field of characteristic is a translation with geometric quotient isomorphic to .
Citation
Adrien Dubouloz. David Finston. Imad Jaradat. "Proper triangular $\mathbb{G}_{a}$-actions on $\mathbb{A}^{4}$ are translations." Algebra Number Theory 8 (8) 1959 - 1984, 2014. https://doi.org/10.2140/ant.2014.8.1959
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