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arXiv · 2207.08639

Embedding theorem for flexible varieties

Shulim Kaliman
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Abstract

Let $Z$ be an affine algebraic variety and $X$ be a smooth flexible variety. We develop some criteria under which $Z$ admits a closed embedding into $X$. In particular, we show that if $X$ is isomorphic (as an algebraic variety) to a special linear group and $\dim X \geq \max(2\dim Z+1, \dim TZ)$, then $Z$ admits a closed embedding into $X$.

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Shulim Kaliman. 2023-07-03. Embedding theorem for flexible varieties. https://arxiv.org/abs/2207.08639

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