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Local invariants on quotient singularities and a genus formula for weighted plane curves
Local invariants quotient singularities genus formula weighted plane curves Algebraic Geometry
2012/6/8
In this paper we extend the concept of Milnor fiber and Milnor number of a curve singularity allowing the ambient space to be a quotient surface singularity. A generalization of the local {\delta}-inv...
Gorenstein isolated quotient singularities over C
Gorenstein isolated quotient singularities
2010/12/31
In this paper we review the classification of isolated quotient singularities over the field of complex numbers due to H. Zassenhaus,G. Vincent, and J. A. Wolf. As an application we describe Gorenstei...
Tilting and cluster tilting for quotient singularities
Cohen-Macaulay module quotient singularity stable category triangulated category
2010/12/31
We shall show that the stable categories of graded Cohen-Macaulay modules over quotient
singularities have tilting objects. In particular, these categories are triangle equivalent to derived cat-egor...