Calculating Milnor Numbers and Versal Component Dimensions from P-Resolution Fans
arXiv:0801.2900 · doi:10.1007/978-3-642-39131-6_3
Abstract
We use Altmann's toric fan description of P-resolutions to formulate a new description of deformation theory invariants for two-dimensional cyclic quotient singularities. In particular, we show how to calculate the dimensions of the (reduced) versal base space components as well as Milnor numbers of smoothings over them.
arXiv comment8 pages; 2 figures; v2 added section on Milnor numbers, reworked proof of dimension formula, new example, and new title