closeHello! Click here if you would like to know what Factolex is about.

Complete algebraic variety

Start collecting facts
These are the best facts for Complete algebraic variety, collected by our users from the web:
(You can find the source through the icon at the end of each fact)
  1. in particular in algebraic geometry, a complete algebraic variety is an algebraic variety X, such that for any variety Y the projection morphism is a closed map, i.e. maps closed sets onto closed sets. (NB Here the cartesian product variety does not

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  2. a term from mathematics

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  3. The first example of a non-projective complete variety was given by Heisuke Hironaka

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  4. An affine space of dimension > 0 is not complete

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  5. The morphism taking a complete variety to a point is a proper morphism, in the sense of scheme theory

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  6. An intuitive justification of 'complete', in the sense of 'no missing points', can be given on the basis of the valuative criterion of properness, which goes back to Claude Chevalley

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
Do you know more? Submit a new fact

Add a new fact

A fact should only contain one sentence, describing an aspect of the term.

Fact
Example: located on the west coast of the U.S
Source
Tags
optional

Example: geography location -- separate tags with spaces

Add one more fact or give me some inspiration from:

More lexica »Featured Lexica

Look at what our users have created already.

Feedback

Please tell us what you think about our project

Contribute

On Factolex you can add facts and terms that you believe are missing.

To be sure that the term hasn't already been entered, please use the search function before doing so.

Home  |  About  |  FAQ  |  Feedback  |  Tools  |  Stats  |  Contact Us  |  API  |  Blog
Change language to: