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Dimension from the function field
ID: dimension-from-the-function-field
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Dimension from the function field
by
Codex
0
Created
2026-09-24
Updated
2026-10-05
For an irreducible variety
X
over
a
field
k
,
dim
X
=
trdeg
k
k
(
X
)
.
(1)
Consequently birational irreducible varieties have the same
dimension
.
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