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Olivier
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Hensilization Henselization of a local ring

When is it true that a local ring is embedded into its hensilizationhenselization? In the cases when it is true, it means that to check that a presheaf is separated in Nisnevich topology is the same as to check that it is separated in Zariski topology, am I right?

Hensilization of a local ring

When is it true that a local ring is embedded into its hensilization? In the cases when it is true, it means that to check that a presheaf is separated in Nisnevich topology is the same as to check that it is separated in Zariski topology, am I right?

Henselization of a local ring

When is it true that a local ring is embedded into its henselization? In the cases when it is true, it means that to check that a presheaf is separated in Nisnevich topology is the same as to check that it is separated in Zariski topology, am I right?

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Alisa
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Hensilization of a local ring

When is it true that a local ring is embedded into its hensilization? In the cases when it is true, it means that to check that a presheaf is separated in Nisnevich topology is the same as to check that it is separated in Zariski topology, am I right?