Geodesic
Noncommutative Deformations of Thick Points
Journal of Singularities, Tome 18 (2018), pp. 427-439

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Any commutative algebra is of course also an associative algebra, and we may deform it as a non-commutative associative algebra. In particular this is of interest in singularity theory. It turns out that the versal base space of the non-commutative deformation functor of a thick point, in an affine three-dimensional variety, has properties that are rather astonishing. This base space is the main ingredient of a Toy Model for Quantum Theory, published in several books and papers. In this paper I shall describe the problems related to the computation of the local moduli suite of the singularity consisting of an isolated point with a 3-dimensional tangent space. 
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     author = {Olav Arnfinn Laudal},
     title = {Noncommutative {Deformations} of {Thick} {Points}},
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Olav Arnfinn Laudal. Noncommutative Deformations of Thick Points. Journal of Singularities, Tome 18 (2018), pp. 427-439. doi: 10.5427/jsing.2018.18v

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