2005/01/04 | Weierstrass间隙定理[Weierstrass's Gap Theorem]
类别(∑〖数学〗) | 评论(0) | 阅读(35) | 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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