Milnor and Tjurina numbers for a hypersurface germ with isolated singularity

DOI10.1016/j.crma.2018.07.004zbMath1405.32009arXiv1708.09716OpenAlexW2964224349WikidataQ129508551 ScholiaQ129508551MaRDI QIDQ1671205

Yongqiang Liu

Publication date: 6 September 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.09716

zbMATH Keywords

multiplicityMilnor numberisolated singularityTjurina number

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Germs of analytic sets, local parametrization (32B10) Local complex singularities (32S05)

Related Items (6)

Number of generators of derivation modules of some hypersurfaces ⋮ On the quotient of Milnor and Tjurina numbers for two‐dimensional isolated hypersurface singularities ⋮ The Tjurina number for Sebastiani-Thom type isolated hypersurface singularities ⋮ On Briançon-Skoda theorem for foliations ⋮ Unnamed Item ⋮ Mixed Bruce–Roberts numbers

Cites Work

• On the monodromy theorem for isolated hypersurface singularities
• Sur une inégalité à la Minkowski pour les multiplicités
• Polyedres de Newton et nombres de Milnor
• Milnor numbers of projective hypersurfaces with isolated singularities
• Complete characterization of isolated homogeneous hypersurface singularities
• Quasihomogeneous isolated singularities of hyperplanes.
• On 1-forms on isolated complete intersection curve singularities
• Introduction to Singularities and Deformations
• Letter to the editors
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