The Poincaré series of a simple complete ideal of a two-dimensional regular local ring

DOI10.1016/j.jpaa.2009.01.001zbMath1167.13011OpenAlexW1977099719MaRDI QIDQ1020957

Julio José Moyano-Fernández, Karl-Heinz Kiyek

Publication date: 4 June 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2009.01.001

zbMATH Keywords

Poincaré seriesplane valuation, motivic Poincaré seriessimple complete ideals

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Regular local rings (13H05)

Related Items (3)

Curvettes and clusters of infinitely near points ⋮ Generalised Poincaré series and embedded resolution of curves ⋮ Poincaré series for curve singularities and its behaviour under projections

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• Valuations in Function Fields of Surfaces
• The Value Semigroups of Prime Divisors of the Second Kind in 2-Dimensional Regular Local Rings

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