July 27, 2024Open Access

Versality for pairs

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Abstract

For a pair (algebra, module) with equidimensional and isolated singularity we establish the existence of a versal henselian deformation. Obstruction theory in terms of an André-Quillen cohomology for pairs is a central ingredient in the Artin theory used. In particular we give a long exact sequence relating the algebra cohomology and the module cohomology with the cohomology of the pair and define a Kodaira-Spencer class for pairs.

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Runar Ile (Sat,) studied this question.

synapsesocial.com/papers/68e5ed55b6db64358758234f https://doi.org/https://doi.org/10.1016/j.jpaa.2024.107779

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Journals

Journal of Pure and Applied Algebra

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BI Norwegian Business School

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Versality for pairs

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Abstract

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Cite This Study

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