Resolution of singularities of real-analytic vector fields in dimension three
By D. Panazzolo. 2006
63 citations recorded by the source corpus.
Let χ be an analytic vector field defined in a real-analytic manifold of dimension three. We prove that all the singularities of χ can be made elementary by a finite number of blowing-ups in the ambient space.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/b30814ef99a5a853078a0bbef10872ada21a7410
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In Geometry and Topology
- Vincent Cossart
- Olivier Piltant
- M. Temkin
- Christopher D. Hacon
- Steven Dale Cutkosky
- Hiromu Tanaka
- Franz-Viktor Kuhlmann
Citations in the corpus
- Resolution of singularities of arithmetical threefolds (2014, background): “Differential multiplicities and permissible centers have a similar behavior to adapted multiplicities and permissible blowing ups considered in Resolution of Singularities for differential forms and vector fields [76][15][16][17][64][70] and for toroidalization of morphisms [37][34].”