Some remarks on the planar Kouchnirenko's theorem

DOI10.1007/s13163-011-0082-7zbMath1279.14005arXiv1009.4889OpenAlexW2130182330MaRDI QIDQ365139

Gert-Martin Greuel, Nguyen Hong Duc

Publication date: 4 September 2013

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.4889

zbMATH Keywords

Milnor numberdelta invariantinner Newton non-degenerateNewton non-degenerateweak Newton non-degenerate

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Complex surface and hypersurface singularities (32S25) Invariants of analytic local rings (32S10) Classification; finite determinacy of map germs (58K40)

Related Items (6)

Conjectures on stably Newton degenerate singularities ⋮ Milnor numbers of deformations of semi-quasi-homogeneous plane curve singularities ⋮ On the Milnor Formula in Arbitrary Characteristic ⋮ The Milnor number of plane irreducible singularities in positive characteristic ⋮ Non-degenerate jumps of Milnor numbers of quasihomogeneous singularities ⋮ Arnold's problem on monotonicity of the Newton number for surface singularities

Uses Software

• SINGULAR

Cites Work

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• Invariants of hypersurface singularities in positive characteristic
• Local Łojasiewicz exponents, Milnor numbers and mixed multiplicities of ideals
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• Algebroid curves in positive characteristic
• Polyedres de Newton et nombres de Milnor
• Pencils of Curves on Smooth Surfaces
• Newton polytopes and non-degeneracy
• SINGULAR
• Introduction to Singularities and Deformations
• The Newton polygon of plane curves with many rational points

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