Talk:Glossary of scheme theory

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Could someone give further explanation of these definitions?

Are the links to uncreated necessary if this is a glossary? Or will there be more detail on those pages?

It's all work-in-progress; not so different from the rest of Wikipedia. If you have a request for a topic, try Wikipedia:Requested articles/mathematics.

Charles Matthews 12:28, 26 May 2004 (UTC)[reply]

I've changed the definition of quasi-finite, which looked like it came from Hartshorne. I've replaced it with th EGA definition. Joeldl 17:07, 17 February 2007 (UTC)[reply]

Morphism glossary

Hi, I would suggest to rearrange the list of morphism properties, such that the relation of the several notions becomes clearer and also try to avoid (more) difficult terms (for example affine morphisms can be defined more easily). Do you agree? -- Jakob.scholbach 03:57, 1 October 2006 (UTC)[reply]

Go ahead. Charles Matthews 08:52, 1 October 2006 (UTC)[reply]

The notion of finitely presented morphism should be added. I was redirected from another page, but could not find the definition. —Preceding unsigned comment added by 131.111.8.98 (talk) 09:39, 18 June 2008 (UTC)[reply]

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Smooth morphism

The subject "smooth morphism" redirects here, but is nowhere defined in this glossary (only given as example!). Could someone add its definition?--129.70.14.128 (talk) 01:25, 20 November 2007 (UTC)[reply]

Done. Jakob.scholbach (talk) 13:52, 20 November 2007 (UTC)[reply]

Table of properties of schemes

Two points about that table: (a) The concept "connected scheme" is used in the row treating integral schemes but was not defined in Wikipedia. So I added it to the table, following Hartshorne's Algebraic Geometry. (b) The column titled "definition" contains definitions but also further basic properties of the concept in question (e.g. the statement about irreducible components). This is useful but maybe one should move this, say, to another column? Well, maybe not. Ninte (talk) 07:38, 11 June 2009 (UTC)[reply]

Subscheme

This article doesn't define "subscheme", particularly "closed subscheme". —Preceding unsigned comment added by 173.34.56.58 (talk) 21:33, 29 October 2009 (UTC)[reply]

Yes, not explicitly. When it says about closed immersions, it is defining closed subschemes, but tacitly only. So some more words needed there. And open subschemes aren't explicitly defined, though it is a remark (perhaps a little more than just a remark) that restricting to an open subset you get a locally ringed space that is a scheme. Charles Matthews (talk) 15:12, 30 October 2009 (UTC)[reply]