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arXiv · 0901.4687

On quotients of affine superschemes over finite supergroups

A. N. Zubkov
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Abstract

In this article we consider sheaf quotients of affine superschemes by finite supergroups that act on them freely. More precisely, if a finite supergroup $G$ acts on an affine superscheme $X$ freely, then the quotient $K$-sheaf $\tilde{X/G}$ is again an affine superscheme $Y$, where $K[Y]\simeq K[X]^G$. Besides, $K[X]$ is a finitely presented projective $K[X]^G$-module.

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A. N. Zubkov. 2009-01-29. On quotients of affine superschemes over finite supergroups. https://arxiv.org/abs/0901.4687

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