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arXiv · 2405.00171

Additive actions on projective hypersurfaces with a finite number of orbits

Viktoriia Borovik·Alexander Chernov·Anton Shafarevich
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Abstract

An induced additive action on a projective variety $X \subseteq \mathbb{P}^n$ is a regular action of the group $\mathbb{G}_a^m$ 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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Viktoriia Borovik, Alexander Chernov, Anton Shafarevich. 2024-04-30. Additive actions on projective hypersurfaces with a finite number of orbits. https://arxiv.org/abs/2405.00171

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