Locally acyclic morphism (original) (raw)
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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| dbo:abstract | 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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| rdfs:comment | 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) |
| rdfs:label | Locally acyclic morphism (en) Lokalt acyklisk morfism (sv) |
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