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2005/01/04 | Weierstrass间隙定理[Weierstrass's Gap Theorem]
类别(∑〖数学〗)
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发表于 12:27
Given a succession of nonsingular points which are on a nonhyperelliptic curve of
curve genus
p
, but are not a group of the canonical series, the number of groups of the first
k
which cannot constitute the group of simple
poles
of a
rational function
is
p
. If points next to each other are taken, then the theorem becomes: Given a nonsingular point of a nonhyperelliptic curve of
curve genus
p
, then the orders which it cannot possess as the single pole of a
rational function
are
p
in number.
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