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shang
shang
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For affinoid spaces the definition is similar to algebraic geometry, what about general analytic spaces? I can't find a reference about it. If yes then is a affinoid domain in a analytic space of pure dimension (or in particular the analytification of a variety of pure dimension) still of pure dimension?

For affinoid spaces the definition is similar to algebraic geometry, what about general analytic spaces? I can't find a reference about it. If yes then is a affinoid domain in a analytic space of pure dimension (or in particular the analytification of a variety of pure dimension) still of pure dimension?

For affinoid spaces the definition is similar to algebraic geometry, what about general analytic spaces? I can't find a reference about it. If yes then is the analytification of a variety of pure dimension still of pure dimension?

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shang
shang
  • 129
  • 4

Is there a notion of pure dimension for Berkovich analytic space?

For affinoid spaces the definition is similar to algebraic geometry, what about general analytic spaces? I can't find a reference about it. If yes then is a affinoid domain in a analytic space of pure dimension (or in particular the analytification of a variety of pure dimension) still of pure dimension?