MONOMIAL GORENSTEIN CURVES IN A4 AS SET-THEORETIC COMPLETE INTERSECTIONS

被引：22
作者：
BRESINSKY, H
机构：
[1] Department of Mathematics, University of Maine at Orono, Orono, 04469, Maine
来源：
MANUSCRIPTA MATHEMATICA | 1979年 / 27卷 / 04期
关键词：
D O I：
10.1007/BF01507291
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that if the prime ideal {Mathematical expression},⋯, x4], k an arbitrary field, has generic zero xi=tni, ni positive integers with g.c.d. equal l, l ≤ i ≤ 4, then P(S) is a set-theoretic complete intersection if the numerical semigroup S=<n1,⋯, n4> is symmetric (i.e. if the extension of P(S) in k[[x1,⋯, x4]] is a Gorenstein ideal). © 1979 Springer-Verlag.
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页码：353 / 358
页数：6
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