On Normality of Projective Hypersurfaces with an Additive Action
On Normality of Projective Hypersurfaces with an Additive Action
We study projective hypersurfaces $X$ admitting an induced additive action, i.e., an effective action ${\mathbb G_a^m\times X\to X}$ of the vector group $\mathbb G_a^m$ with an open orbit that can be extended to an action on the ambient projective space. A criterion for normality of such a hypersurface $X$ is …