Newton polyhedra and the poles of Igusa's local zeta function
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Publication:1420756
zbMath1040.11086MaRDI QIDQ1420756
Publication date: 3 February 2004
Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)
Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta functions and (L)-functions (11S40)
Related Items (7)
Igusa’s 𝑝-adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities ⋮ On mean values of multivariable complex valued multiplicative functions and applications ⋮ New bounds for exponential sums with a non-degenerate phase polynomial ⋮ An explicit formula for the local zeta function of a Laurent polynomial ⋮ Newton polyhedra, unstable faces and the poles of Igusa’s local zeta function ⋮ THE HOLOMORPHY CONJECTURE FOR NONDEGENERATE SURFACE SINGULARITIES ⋮ On the smallest poles of Igusa's \(p\)-adic zeta functions
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