Additive actions on projective hypersurfaces with a finite number of orbits

التفاصيل البيبلوغرافية
العنوان: Additive actions on projective hypersurfaces with a finite number of orbits
المؤلفون: Borovik, Viktoriia, Chernov, Alexander, Shafarevich, Anton
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry
الوصف: 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.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2405.00171
رقم الأكسشن: edsarx.2405.00171
قاعدة البيانات: arXiv