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Uniqueness of unibranched curve in \(\mathbb{R}^2\) up to simple blowings up

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Publication:1385011
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DOI10.3792/pjaa.73.97zbMath0926.32040OpenAlexW2092065361MaRDI QIDQ1385011

Masanori Kobayashi, Tzee-Char Kuo

Publication date: 21 June 1998

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.73.97


zbMATH Keywords

intersection matrixblow-analytic homeomorphismsmultiplicity of analytic arcs


Mathematics Subject Classification ID

Germs of analytic sets, local parametrization (32B10) Holomorphic maps on manifolds (58C10) Deformations of complex singularities; vanishing cycles (32S30) Topology of real algebraic varieties (14P25)


Related Items (1)

Multiplicity \(mod \, 2\) as a metric invariant



Cites Work

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  • On classification of real singularities
  • Classification of Nash manifolds
  • On strong \(C^ 0\)-equivalence of real analytic functions
  • Real algebraic manifolds
  • Variétés analytiques réelles et variétés analytiques complexes
  • On a theorem for $M$-spaces
  • The modified analytic trivialization of singularities


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