TY - JOUR AU - González Pérez, Pedro Daniel AU - Hernando, F. PY - 2009 DO - 10.1112/jlms/jdp014 SN - 0024-6107 UR - https://hdl.handle.net/20.500.14352/49659 T2 - Journal of the London Mathematical Society. Second Series AB - We define Poincaré series associated to a germ (S, 0) of toric or analytically irreducible quasiordinary hypersurface singularity, by a finite sequence of monomial valuations such that at least one of them is centered at the point 0. This involves the... LA - eng M2 - 780 PB - Oxford University Press KW - Quasi-ordinary singularities KW - Poincaré series KW - Multi-graded rings KW - Valuations KW - Divisorial valuations KW - Characteristic monomials KW - Hypersurface singularities KW - Nash map KW - Toric singularities TI - Quasi-ordinary singularities, essential divisors and Poincaré series TY - journal article VL - 79 ER -