The Stein degree of a proper integral variety 
over a field 
is
 |
The field of global functions is a finite extension of 
and records the finite part of its structural morphism.
For example, 
viewed over a finite extension 
has Stein degree ![[k^':k]](/images/equations/SteinDegree/Inline6.svg)
. A stronger invariant uses the relative algebraic
closure 
of 
in 
and has value ![[k_S:k]](/images/equations/SteinDegree/Inline10.svg)
. For the normalization 
of 
, this equals 
.
