Jump to content

Talk:Smooth morphism

Page contents not supported in other languages.
From Wikipedia, the free encyclopedia

This is not yet defined in the glossary!--129.70.14.128 (talk) 01:26, 20 November 2007 (UTC)[reply]

"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)[reply]

A geometric point of X is where k is a separably closed field. -- Taku (talk) 14:17, 17 December 2013 (UTC)[reply]

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

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)[reply]

I believe this is a version of Bertini's theorem (no question it's an important thing to cover). -- Taku (talk) 23:20, 8 August 2017 (UTC)[reply]