The space of generically étale families

David Rydh; Roy Skjelnes

doi:10.1112/jlms/jdq042

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The space of generically étale families

David Rydh·Roy Skjelnes

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Abstract

We construct a space $G^n_X$ and a rank $n$, generically etale family of closed subspaces in a separated ambient space $X$. The constructed pair satisfies a universal property of generically etale families of closed subspaces in $X$. This universal property is derived directly from the construction and does in particular not use the Hilbert scheme. The constructed space $G^n_X$ is by its universal property canonically identified with a closed subspace of the Hilbert scheme.

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BibTeX RIS

David Rydh, Roy Skjelnes. 2008-03-05. The space of generically étale families. https://doi.org/10.1112/jlms%2Fjdq042

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