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arXiv · 1802.04786

Maximal Cohen-Macaulay modules over certain Segre products

Linquan Ma
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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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Linquan Ma. 2018-02-13. Maximal Cohen-Macaulay modules over certain Segre products. https://arxiv.org/abs/1802.04786

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