Talk:Specialization (pre)order

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[edit] Specialization

Should x ≤ y be read "x is a specialization of y" or "y is a specialization of x"?

Hartshorne says the former Algebraic geometry (Ex 3.17 p.93). However the motivational paragraph seems to claim the latter. Actually, the paragraph appears to be self-contradictory. If first claims that y is more specific, but then uses an analogy with genus and species and generic points which indicates that x is more specific. Can anyone sort this out? -- Fropuff (talk) 05:25, 10 December 2007 (UTC)