Talk:Rational variety
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Text and/or other creative content from this version of Rationally connected variety was copied or moved into Rational variety#Rationally connected variety with this edit on 17:13, 18 February 2012. The former page's history now serves to provide attribution for that content in the latter page, and it must not be deleted as long as the latter page exists. |
What does "dominated by a rational variety" mean?
[edit]The section on Unirationality begins as follows:
"A unirational variety V over a field K is one dominated by a rational variety, so that its function field K(V) lies in a pure transcendental field of finite type (which can be chosen to be of finite degree over K(V) if K is infinite)."
But there is no explanation or link that defines what "dominated by a rational variety" means.
So this is an example of extremely poor mathematical writing in Wikipedia.
In the sense that a chain is only as strong as its weakest link, and an article is only as clear as its unclearest statement.
I hope someone knowledgeable about the subject can fix this problem.