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arXiv · 2107.08327

${\mathbb{A}}^{0|1}$-torsors, quotients by free ${\mathbb{A}}^{0|1}$-actions, and embeddings into $Π$-projective spaces and super-Grassmannians $G(1|1,n|n)$

Alexander Polishchuk
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Abstract

We study embeddability of superschemes into $Π$-projective spaces and into supergrassmannians $G(1|1,n|n)$. We give some criteria based on the relation with ${\mathbb{A}}^{0|1}$-torsors and ${\mathbb{A}}^{0|1}$-fibrations. We also prove the existence of nice quotients for free actions of ${\mathbb{A}}^{0|1}$ on superschemes.

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Alexander Polishchuk. 2021-12-03. ${\mathbb{A}}^{0|1}$-torsors, quotients by free ${\mathbb{A}}^{0|1}$-actions, and embeddings into $Π$-projective spaces and super-Grassmannians $G(1|1,n|n)$. https://arxiv.org/abs/2107.08327

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