The Poincaré series of some special quasihomogeneous surface singularities

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dc.creatorEbeling, Wolfgang
dc.date2000-04-13
dc.date2001-09-26
dc.date.accessioned2026-07-07T04:34:44Z
dc.date.available2026-07-07T04:34:44Z
dc.descriptionIn 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.
dc.descriptionLaTeX2e, 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''
dc.identifierhttps://arxiv.org/abs/math/0004086
dc.identifierhttp://arxiv.org/abs/math/0004086
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59020
dc.subjectAlgebraic Geometry
dc.subjectMathematical Physics
dc.subjectCommutative Algebra
dc.subject14J17, 32S25, 32S40, 13D40 (Primary) 14J28, 11H56 (Secondary)
dc.titleThe Poincaré series of some special quasihomogeneous surface singularities
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