Calculating Milnor Numbers and Versal Component Dimensions from P-Resolution Fans

Details Calculating Milnor Numbers and Versal Component Dimensions from P-Resolution Fans Calculating Milnor Numbers and Versal Component Dimensions from P-Resolution Fans

2008-01-18

arxiv.org/abs/0801.2900v2

Mathematics

Algebraic Geometry

8 pages; 2 figures; v2 added section on Milnor numbers, reworked proof of dimension formula, new example, and new title

Scientific paper

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.

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