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arXiv · 1502.06584

Cohen-Macaulayness of Rees Algebras of Modules

Kuei-Nuan Lin
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Abstract

We provide the sufficient conditions for Rees algebras of modules to be Cohen-Macaulay, which has been proven in the case of Rees algebras of ideals by Johnson-Ulrich and Goto-Nakamura-Nishida. As it turns out the generalization from ideals to modules is not just a routine generalization, but requires a great deal of technical development. We use the technique of generic Bourbaki ideals introduced by Simis, Ulrich and Vasconcelos to obtain the Cohen-Macaulayness of Rees Algebras of modules.

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Kuei-Nuan Lin. 2015-02-23. Cohen-Macaulayness of Rees Algebras of Modules. https://arxiv.org/abs/1502.06584

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