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

2006/01/17 by Ryo Takahashi, Takahashi, Ryo, Kei-ichi Watanabe +1
Mathematics · #13C14 #13H10 #14C20 #14H45 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:13C14 #msc:13H10 #msc:14C20 #msc:14H45

paper · pdf · doi:10.48550/arxiv.math/0601407

6 pages, minor changes, to appear in Arch. Math. (Basel)

arxiv created 2006/10/23 · arxiv updated 2009/12/01

Abstract

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.

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