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arXiv · 1007.2236

Quotient sheaves of algebraic supergroups are superschemes

Akira Masuoka·Alexander N. Zubkov
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Abstract

To generalize some fundamental results on group schemes to the super context, we study the quotient sheaf $G \tilde{/} H$ of an algebraic supergroup $G$ by its closed supersubgroup $H$, in arbitrary characteristic $\neq$ 2. Our main theorem states that $G \tilde{/} H$ is a Noetherian superscheme. This together with derived results give positive answers to interesting questions posed by J. Brundan.

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BibTeXRIS

Akira Masuoka, Alexander N. Zubkov. 2010-07-14. Quotient sheaves of algebraic supergroups are superschemes. https://arxiv.org/abs/1007.2236

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