Talk:Smooth morphism
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This is not yet defined in the glossary!--129.70.14.128 (talk) 01:26, 20 November 2007 (UTC)
"Geometric point"[edit]
The definition of "geometric point" appearing in the glossary requires that the scheme in question be defined over a field. What is the appropriate definition in the general case? 98.243.172.55 (talk) 19:23, 7 December 2013 (UTC)
- A geometric point of X is where k is a separably closed field. -- Taku (talk) 14:17, 17 December 2013 (UTC)
Examples Needed[edit]
This page should discuss examples of smooth morphisms
- trivial fibrations
- Hirzebruch surfaces over
- scrolls
- vector bundles
- smooth locus of flat families
- etale morphisms
and non-examples, such as
- families of singular varieties
- singular variety over a point
- blowups — Preceding unsigned comment added by 97.122.75.155 (talk) 17:31, 1 August 2017 (UTC)
Smooth Locus of Families[edit]
This page should discuss how to find the smooth locus of a morphism of schemes . — Preceding unsigned comment added by 97.122.75.155 (talk) 05:12, 4 August 2017 (UTC)