Abstract
For quotient singularities the irreducible components of the (reduced) base space of the versal deformation are in one to one correspondence with certain partial resolutions, calledP-resolutions [1]. In [3] we found allP-resolutions for cyclic quotient singularities. In this note we determine theP-resolutions for the other quotient singularities. A simple lemma allows reduction to the cyclic case; the same technique was already used in [3, Sect. 7] to study the dihedral singularities, so we are mainly concerned with the exceptional cases.
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References
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Jan Stevens,On the versal deformation of cyclic quotient singularities. In: Singularity Theory and its Applications, Warwick 1989, Part I, pp. 312–319. Berlin etc., Springer 1991. (Lect. Notes in Math.; 1462)
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Stevens, J. Partial resolutions of quotient singularities. Manuscripta Math 79, 7–11 (1993). https://doi.org/10.1007/BF02568325
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DOI: https://doi.org/10.1007/BF02568325