POINCARÉ SERIES OF COLLECTIONS OF PLANE VALUATIONS

DOI10.1142/S0129167X10006586zbMath1213.32013arXiv0903.3835WikidataQ62582191 ScholiaQ62582191MaRDI QIDQ3067794

Fernando Hernando, Sabir M. Gusein-Zade, Félix Delgado de la Mata, Antonio Campillo

Publication date: 13 January 2011

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.3835

zbMATH Keywords

Poincaré seriesplane valuationsresolution graph

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Valuation rings (13F30) Invariants of analytic local rings (32S10)

Related Items (4)

Hilbert function, generalized Poincaré series and topology of plane valuations ⋮ The Poincaré Polynomial of a Linear Code ⋮ Integration over the space of functions and Poincaré series revisited ⋮ Antonio Campillo

Cites Work

• Classification of isolated algebraic singularities by their Alexander polynomials
• On the graded algebra relative to a valuation
• Saturation for valuations on two-dimensional regular local rings
• Valuations in Function Fields of Surfaces
• POINCARÉ SERIES FOR SEVERAL PLANE DIVISORIAL VALUATIONS
• THE ALEXANDER POLYNOMIAL OF A PLANE CURVE SINGULARITY AND INTEGRALS WITH RESPECT TO THE EULER CHARACTERISTIC

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