The Poincaré series associated with finitely many monomial valuations

DOI10.1017/S030500410200645XzbMath1099.13507OpenAlexW2127120007MaRDI QIDQ4431166

Carlos Galindo Pastor, Antonio Campillo

Publication date: 13 October 2003

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030500410200645x

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Valuations and their generalizations for commutative rings (13A18) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Regular local rings (13H05)

Related Items (7)

Resolving singularities of curves with one toric morphism ⋮ Multiplier ideals of plane curve singularities via Newton polygons ⋮ Generating sequences and Poincaré series for a finite set of plane divisorial valuations ⋮ Semigroup and Poincaré series for a finite set of divisorial valuations ⋮ The total coordinate ring of a smooth projective surface ⋮ Poincaré series of resolutions of surface singularities ⋮ Antonio Campillo

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