Noncommutative Singularity Theory
Gavin Brown, Michael Wemyss
TL;DR
This paper explores noncommutative singularity theory, motivated by deformation theory, and discusses its applications to curve contractibility and classifying smooth 3-fold flops.
Contribution
It provides an expository overview of noncommutative singularity theory and connects it to deformation theory and algebraic geometry applications.
Findings
Insights into noncommutative power series singularities
Applications to curve contractibility in algebraic geometry
Classification methods for smooth 3-fold flops
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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Taxonomy
TopicsAdvanced Algebra and Geometry · Random Matrices and Applications · Finite Group Theory Research