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The Versal Deformation of Cyclic Quotient Singularities

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Deformations of Surface Singularities

Part of the book series: Bolyai Society Mathematical Studies ((BSMS,volume 23))

Abstract

We describe the versal deformation of two-dimensional cyclic quotient singularities in terms of equations, following Arndt, Brohme and Hamm. For the reduced components the equations are determined by certain systems of dots in a triangle. The equations of the versal deformation itself are governed by a different combinatorial structure, involving rooted trees.

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References

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Stevens, J. (2013). The Versal Deformation of Cyclic Quotient Singularities. In: Némethi, A., Szilárd, á. (eds) Deformations of Surface Singularities. Bolyai Society Mathematical Studies, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39131-6_5

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