Resumen de Locally nilpotent derivations on modules

Mikiya Tanaka

• 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 $M$.