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Additional
algebraic function field
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Algebraic function field
In
mathematics
, an
(algebraic) function field
of
n
variables over the
field
k
is a finitely generated
field extension
K
/
k
which has
transcendence degree
n
over
k
. Equivalently, an algebraic function field of
n
variables over
k
may be defined as a
finite field extension
of the field
k
(
x
1
,...,
x
n
) of
rational functions
in
n
variables over
k
.
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