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On the Cohen-Macaulay property of A[pt, p(2)t2] for space monomial curves

Published online by Cambridge University Press:  22 January 2016

Yukio Nakamura*
Affiliation:
Department of Mathematics, Tokyo Metropolitan University, Minami Ohsawa 1-1 Hachioji, Tokyo, 192-03, Japan
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Let A = k[X, Y, Z] and k[U] be polynomial rings over a field k and let l, m and n be positive integers with gcd(l, m, n) = 1. We denote by p the defining ideal of the space monomial curve x = ul, y = um, and z = un.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1993

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