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arXiv · 1211.3172

Brauer-Thrall theory for maximal Cohen-Macaulay modules

Graham J. Leuschke·Roger Wiegand
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Abstract

The Brauer-Thrall Conjectures, now theorems, were originally stated for finitely generated modules over a finite-dimensional $\sk$-algebra. They say, roughly speaking, that infinite representation type implies the existence of lots of indecomposable modules of arbitrarily large $\sk$-dimension. These conjectures have natural interpretations in the context of maximal Cohen-Macaulay modules over Cohen-Macaulay local rings. This is a survey of progress on these transplanted conjectures.

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Graham J. Leuschke, Roger Wiegand. 2012-11-14. Brauer-Thrall theory for maximal Cohen-Macaulay modules. https://arxiv.org/abs/1211.3172

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