2001/11/30 by Yukari Ito, Ito, Yukari
Mathematics · #14C05 #14E15 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #math.AG #msc:14C05 #msc:14E15
paper · pdf · doi:10.48550/arxiv.math/0111314
Latex 2e, 15 pages, 4 figures. To appear in actes de l'école d'été ``Géométrie des variétés toriques'' (Grenoble, 2000), collection Séminaires et Congrès, SMF 2002
arxiv created 2001/11/30 · openalex publication_date 2001/11/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
There are many generalizations of the McKay correspondence for higher dimensional Gorenstein quotient singularities and there are some applications to compute the topological invariants today. But some of the invariants are completely different from the classical invariants, in particular for non-Gorenstein cases. In this paper, we would like to discuss the McKay correspondence for 2-dimensional quotient singularities via "special" representations which gives the classical topological invariants and give a new characterization of the special representations for cyclic quotient singularities in terms of combinatorics.