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arxiv: 0906.1430 · v1 · submitted 2009-06-08 · 🧮 math.AG

The versal deformation of cyclic quotient singularities

classification 🧮 math.AG
keywords deformationequationsversalcyclicquotientsingularitiesarndtbrohme
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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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