Locally nilpotent derivations on modules

• Autores: Mikiya Tanaka
• Localización: Journal of mathematics of Kyoto University, ISSN 0023-608X, Vol. 49, Nº 1, 2009, págs. 131-159
• Idioma: inglés
• DOI: 10.1215/kjm/1248983033
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• Resumen

  • We extend a locally nilpotent derivation $\delta$ on a ring $B$ to $B$-modules $M$ and investigate the properties of such $B$-modules $M$. It turns out that the various geometric properties of the associated $G_a$-action on Spec $B$ can be reflected on the properties of $M$.