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Upd. added.
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Mikhail Bondarko
Mikhail Bondarko
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In my preprint I propose to call $X/S$ quasi-smooth if $X$ can be embedded into a smooth $X'/S$. Does this sound fine?

Upd. So, smoothly embeddable is better? Is it ok to call a morphism smoothly embeddable?

In my preprint I propose to call $X/S$ quasi-smooth if $X$ can be embedded into a smooth $X'/S$. Does this sound fine?

In my preprint I propose to call $X/S$ quasi-smooth if $X$ can be embedded into a smooth $X'/S$. Does this sound fine?

Upd. So, smoothly embeddable is better? Is it ok to call a morphism smoothly embeddable?

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Mikhail Bondarko
Mikhail Bondarko
  • 16.9k
  • 4
  • 34
  • 98

How would you call a subscheme of a smooth $S$-scheme?

In my preprint I propose to call $X/S$ quasi-smooth if $X$ can be embedded into a smooth $X'/S$. Does this sound fine?