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Noncommutative Singularity Theory

2024/10/28 by Gavin Brown, Brown, Gavin, Michael Wemyss +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Finite Group Theory Research #Random Matrices and Applications #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2410.21500

openalex publication_date 2024/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is an expository article on the noncommutative singularity theory of power series in noncommuting variables, its motivation from deformation theory, and its applications to contractibility of curves and the classification of smooth 3-fold flops.

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