Totally reflexive modules constructed from smooth projective curves of genus g ≥ 2

Totally reflexive modules constructed from smooth projective curves of genus g ≥ 2
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DOI:
10.1007/s00013-007-2004-y
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发表时间:
2006-01
影响因子:
0.6
通讯作者:
Ryo Takahashi;Kei-ichi Watanabe
Ryo Takahashi;Kei-ichi Watanabe
中科院分区:
数学4区
文献类型:
--
作者:
Ryo Takahashi;Kei-ichi Watanabe

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本文从亏格至少为2的任意光滑射影曲线出发,构造了其上的非Gorenstein Cohen-Macaulay正规域和非自由全自反模。
In this paper, from an arbitrary smooth projective curve of genus at least two, we construct a non-Gorenstein Cohen-Macaulay normal domain and a nonfree totally reflexive module over it.