Talk:Moduli space

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Mathematics rating:	Start Class	High Priority	Field: Geometry
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. Differentiate initial paragraphs into a lead and an introductory section. Add some historical context and references. Geometry guy 22:08, 20 May 2007 (UTC) Additional comments: too heavily slanted towards the technical side of the geometric invariant theory, at the expense of motivations and applications. Big disconnect between the start (elliptic curves) and the bulk of the article. Arcfrk 11:23, 26 May 2007 (UTC)

[edit] Name origin

The explanation for the name "moduli space" in the introduction is circular. What is a modulus (moduli?) supposed to be?--129.70.14.132 15:18, 23 June 2007 (UTC)

I'm a total beginner who'd like to know what a moduli space is. Nowhere in this article did I find a coherent definition or an example of what I moduli space is. It might be useful to write this with a view to including someone who doesn't know anything (like me). —Preceding unsigned comment added by 130.88.123.90 (talk) 09:18, 31 October 2007 (UTC)

Commenters above are correct. This article is in poor shape. I have rewritten the introduction, and intend to further clean up the article. 76.253.92.38 22 May 2008

[edit] Article Clean-Up

Currently satisfied with Introduction, and Basic Examples. Partially satisfied with Definitions. Later sections are a mess. 76.253.92.38 (talk) 02:18, 22 May 2008 (UTC)

I've cleaned up everything but the section on Further Examples, which is still a mess. 76.253.92.38 (talk) 19:00, 22 May 2008 (UTC)

[edit] Fine versus coarse moduli spaces

In this chapter it is said,

"A fine moduli space is an object X, together with a family f:T \rightarrow X called the universal family, with the property that given any family g:A → B, there is a unique map φ(g):B → X such that the pullback of f along φ(g) is g. "

Shouldn't the "T" be an "A"? T is nowhere defined and not used again.--129.70.14.132 16:52, 23 June 2007 (UTC)