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arXiv · 1907.10405

Deformation theory of Cohen-Macaulay approximation

Runar Ile
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Abstract

In a previous article (J. Algebra 367 (2012), 142-165) we established axiomatic parametrised Cohen-Macaulay approximation which in particular was applied to pairs consisting of a finite type flat family of Cohen-Macaulay rings and modules. In this sequel we study the induced maps of deformation functors and deduce properties like smoothness and injectivity under general, mainly cohomological conditions on the module.

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BibTeXRIS

Runar Ile. 2019-07-21. Deformation theory of Cohen-Macaulay approximation. https://doi.org/10.1016/j.jalgebra.2020.09.039

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