The versal deformation of cyclic quotient singularities. (English) Zbl 1315.14005
Némethi, András (ed.) et al., Deformations of surface singularities. Berlin: Springer; Budapest: János Bolyai Mathematical Society (ISBN 978-3-642-39130-9/hbk; 978-963-9453-16-6/hbk; 978-3-642-39131-6/ebook). Bolyai Society Mathematical Studies 23, 163-201 (2013).
Summary: 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.
For the entire collection see [Zbl 1272.14004].
For the entire collection see [Zbl 1272.14004].
MSC:
| 14B07 | Deformations of singularities |
| 14J17 | Singularities of surfaces or higher-dimensional varieties |
| 14B05 | Singularities in algebraic geometry |
| 14D15 | Formal methods and deformations in algebraic geometry |
| 32S30 | Deformations of complex singularities; vanishing cycles |
