Poles of the topological zeta function associated to an ideal in dimension two

DOI10.1007/s00209-007-0291-4zbMath1146.14010arXiv0711.3134OpenAlexW2008147102MaRDI QIDQ944242

Lise Van Proeyen, Willem Veys

Publication date: 15 September 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.3134

zbMATH Keywords

topological zeta functionmotivic zeta functionprincipalization of ideals

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of curves, local rings (14H20) Local complex singularities (32S05)

Related Items (7)

The Newton tree: geometric interpretation and applications to the motivic zeta function and the log canonical threshold ⋮ Igusa's \(p\)-adic local zeta function associated to a polynomial mapping and a polynomial integration measure ⋮ Jumping numbers and ordered tree structures on the dual graph ⋮ The monodromy conjecture for zeta functions associated to ideals in dimension two ⋮ Jumping numbers on algebraic surfaces with rational singularities ⋮ Computing topological zeta functions of groups, algebras, and modules. II. ⋮ The holomorphy conjecture for ideals in dimension two

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