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prochet
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Where can I find some references about henselizations ablong a closed subscheme? For example if I take a map $Y\times\mathbb{A}^{1}\rightarrow Y$ and $Z$ a closed subscheme.

Let $Y_{Z}^{h}$ the henselizations along $Z$ and $(Y\times\mathbb{A}^{1})_{Z_{1}}^{h}$ the henselizations along $Z\times\mathbb{A}^{1}$$Z_{1}:=Z\times\mathbb{A}^{1}$.

What are the fibers of the map:

$(Y\times\mathbb{A}^{1})_{Z_{1}}^{h}\rightarrow Y_{Z}^{h}$?

Where can I find some references about henselizations ablong a closed subscheme? For example if I take a map $Y\times\mathbb{A}^{1}\rightarrow Y$ and $Z$ a closed subscheme.

Let $Y_{Z}^{h}$ the henselizations along $Z$ and $(Y\times\mathbb{A}^{1})_{Z_{1}}^{h}$ the henselizations along $Z\times\mathbb{A}^{1}$.

What are the fibers of the map:

$(Y\times\mathbb{A}^{1})_{Z_{1}}^{h}\rightarrow Y_{Z}^{h}$?

Where can I find some references about henselizations ablong a closed subscheme? For example if I take a map $Y\times\mathbb{A}^{1}\rightarrow Y$ and $Z$ a closed subscheme.

Let $Y_{Z}^{h}$ the henselizations along $Z$ and $(Y\times\mathbb{A}^{1})_{Z_{1}}^{h}$ the henselizations along $Z_{1}:=Z\times\mathbb{A}^{1}$.

What are the fibers of the map:

$(Y\times\mathbb{A}^{1})_{Z_{1}}^{h}\rightarrow Y_{Z}^{h}$?

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prochet
  • 3.5k
  • 1
  • 13
  • 20

henselizations along closed subscheme

Where can I find some references about henselizations ablong a closed subscheme? For example if I take a map $Y\times\mathbb{A}^{1}\rightarrow Y$ and $Z$ a closed subscheme.

Let $Y_{Z}^{h}$ the henselizations along $Z$ and $(Y\times\mathbb{A}^{1})_{Z_{1}}^{h}$ the henselizations along $Z\times\mathbb{A}^{1}$.

What are the fibers of the map:

$(Y\times\mathbb{A}^{1})_{Z_{1}}^{h}\rightarrow Y_{Z}^{h}$?