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Additive actions on projective hypersurfaces with a finite number of orbits
Published 30 Apr 2024 in math.AG | (2405.00171v1)
Abstract: An induced additive action on a projective variety $X \subseteq \mathbb{P}n$ is a regular action of the group $\mathbb{G}_am$ on $X$ with an open orbit, which can be extended to a regular action on the ambient projective space $\mathbb{P}n$. In this work, we classify all projective hypersurfaces admitting an induced additive action with a finite number of orbits.
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