2000/04/13 by Wolfgang Ebeling, Ebeling, Wolfgang · 1 citation
Mathematics · Physics and Astronomy · #11H56 (Secondary) #13D40 (Primary) 14J28 #14J17 #32S25 #32S40 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #FOS: Physical sciences #Geometric and Algebraic Topology #Mathematical Physics (math-ph) #math-ph #math.AC #math.AG #math.MP #msc:11H56 #msc:13D40 #msc:14J17 #msc:14J28 #msc:32S25 #msc:32S40
paper · pdf · doi:10.48550/arxiv.math/0004086
LaTeX2e, 17 pages, 2 figures; rewritten; only part of the old preprint; other part rewritten as ''Poincaré series and monodromy of a two-dimensional quasihomogeneous hypersurface singularity''
openalex publication_date 2000/04/13 · arxiv created 2001/09/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the author's paper ''Poincaré series and monodromy of a two-dimensional quasihomogeneous hypersurface singularity'' a relation is proved between the Poincaré series of the coordinate algebra of a two-dimensional quasihomogeneous isolated hypersurface singularity and the characteristic polynomial of its monodromy operator. We study this relation for Fuchsian singularities and show that it is connected with the mirror symmetry of K3 surfaces and with automorphisms of the Leech lattice. We also indicate relations between other singularities and Conway's group.