Conjectures on stably Newton degenerate singularities

DOI10.1007/s40598-021-00178-8zbMath1484.14005arXiv1406.0328OpenAlexW3167257376WikidataQ123149284 ScholiaQ123149284MaRDI QIDQ823835

Jan Stevens

Publication date: 16 December 2021

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0328

zbMATH Keywords

Newton diagramnon-degeneracystable equivalence

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05) Local complex singularities (32S05)

Cites Work

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• Algebraicity of normal analytic compactifications of \(\mathbb C^2\) with one irreducible curve at infinity
• Some remarks on the planar Kouchnirenko's theorem
• Invariants of hypersurface singularities in positive characteristic
• The \(\mu\)-constant stratum is not smooth
• On the \(\mu\)-constant stratum and the V-filtration: An example
• Newton polyhedra and toroidal varieties
• On the base space of a semi-universal deformation of rational quadruple points
• Polyedres de Newton et nombres de Milnor
• Zeta-function of monodromy and Newton's diagram
• Differential filtrations and symbolic powers of regular primes
• Newton polyhedra and Igusa's local zeta function
• Arnold's problem on monotonicity of the Newton number for surface singularities
• The Łojasiewicz exponent of nondegenerate surface singularities
• Pencils of Curves on Smooth Surfaces
• Finite Determinacy of Functions with Non-Isolated Singularities
• On the Existence of Complete Families of Projective Plane Curves, which are Obstructed
• Newton polytopes and non-degeneracy
• The Newton polygon of plane curves with many rational points