About: Locally acyclic morphism

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In algebraic geometry, a morphism of schemes is said to be locally acyclic if, roughly, any sheaf on S and its restriction to X through f have the same étale cohomology, locally. For example, a smooth morphism is universally locally acyclic.

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  • In algebraic geometry, a morphism of schemes is said to be locally acyclic if, roughly, any sheaf on S and its restriction to X through f have the same étale cohomology, locally. For example, a smooth morphism is universally locally acyclic. (en)
  • Inom matematiken säges en morfism av vara lokalt acyklisk om, ungefärligt sagt, kärve på S och dess restriktion till X genom f har lokalt samma . Exempelvis är en universellt lokalt acyklisk. (sv)
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  • In algebraic geometry, a morphism of schemes is said to be locally acyclic if, roughly, any sheaf on S and its restriction to X through f have the same étale cohomology, locally. For example, a smooth morphism is universally locally acyclic. (en)
  • Inom matematiken säges en morfism av vara lokalt acyklisk om, ungefärligt sagt, kärve på S och dess restriktion till X genom f har lokalt samma . Exempelvis är en universellt lokalt acyklisk. (sv)
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  • Locally acyclic morphism (en)
  • Lokalt acyklisk morfism (sv)
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