Maximal Cohen-Macaulay modules over certain Segre products
classification
🧮 math.AC
keywords
cohen-macaulaymaximalmodulessegrecertainproductringsapplication
read the original abstract
We prove some results on the non-existence of rank one maximal Cohen-Macaulay modules over certain Segre product rings. As an application we show that over these Segre product rings there do not exist maximal Cohen-Macaulay modules with multiplicity less than or equal to the parameter degree of the ring, which disproves a conjecture of Schoutens.
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