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- Smooth_scheme abstract "In algebraic geometry, a smooth scheme X of dimension n over an algebraically closed field k is an algebraic scheme that is regular and has dimension n. More generally, an algebraic scheme over a field k is said to be smooth if is smooth for any algebraic closure of k.If k is perfect, then an algebraic scheme over k is smooth if and only if it is regular.There is also a notion of a "smooth morphism" between schemes, and the above definition coincides with it. That is, an algebraic scheme X over k is smooth of dimension n if and only if is smooth of relative dimension n.".
- Smooth_scheme wikiPageExternalLink SmoothMaps.pdf.
- Smooth_scheme wikiPageID "35033819".
- Smooth_scheme wikiPageRevisionID "525867531".
- Smooth_scheme hasPhotoCollection Smooth_scheme.
- Smooth_scheme subject Category:Algebraic_geometry.
- Smooth_scheme subject Category:Scheme_theory.
- Smooth_scheme comment "In algebraic geometry, a smooth scheme X of dimension n over an algebraically closed field k is an algebraic scheme that is regular and has dimension n. More generally, an algebraic scheme over a field k is said to be smooth if is smooth for any algebraic closure of k.If k is perfect, then an algebraic scheme over k is smooth if and only if it is regular.There is also a notion of a "smooth morphism" between schemes, and the above definition coincides with it.".
- Smooth_scheme label "Smooth scheme".
- Smooth_scheme sameAs m.0j638cl.
- Smooth_scheme sameAs Q7546431.
- Smooth_scheme sameAs Q7546431.
- Smooth_scheme wasDerivedFrom Smooth_scheme?oldid=525867531.
- Smooth_scheme isPrimaryTopicOf Smooth_scheme.