Resolving singularities with Cartan's prolongation

DOI10.1007/s11784-008-0080-7zbMath1153.14004OpenAlexW1998514603MaRDI QIDQ948491

Vidya Swaminathan, Richard Montgomery, Michail Zhitomirskii

Publication date: 16 October 2008

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-008-0080-7

zbMATH Keywords

resolutioncritical curveplane curve singularityblowing-upprolongationdual graphNash modificationPuiseux characteristic.

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Singularities of curves, local rings (14H20) Symmetries, equivariance on manifolds (58K70) Vector distributions (subbundles of the tangent bundles) (58A30) Other operations on complex singularities (32S70)

Related Items (1)

Cartan prolongation of a family of curves acquiring a node

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