The Newton tree: geometric interpretation and applications to the motivic zeta function and the log canonical threshold

DOI10.1017/S0305004115000493zbMath1371.14025arXiv1310.8260MaRDI QIDQ5360352

Willem Veys, Pierrette Cassou-Noguès

Publication date: 28 September 2017

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

Full work available at URL: https://arxiv.org/abs/1310.8260

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Formal power series rings (13F25)

Related Items (3)

Newton Transformations and the Motivic Milnor Fiber of a Plane Curve ⋮ Newton transformations and motivic invariants at infinity of plane curves ⋮ The Combinatorics of Plane Curve Singularities

Cites Work

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• Poles of the topological zeta function associated to an ideal in dimension two
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• Zeta Functions and ‘Kontsevich Invariants’ on Singular Varieties
• Zeta Functions for Curves and Log Canonical Models
• Singularities of Pairs
• Multiplicities and log canonical threshold
• Greenberg Approximation and the Geometry of Arc Spaces
• Newton trees for ideals in two variables and applications
• Zeta functions for analytic mappings, log-principalization of ideals, and Newton polyhedra
• Quasi-ordinary power series and their zeta functions
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