Spatial curve singularities and the monster/semple tower

DOI10.1007/s11856-012-0031-2zbMath1266.58023OpenAlexW2087963536MaRDI QIDQ1932667

Richard Montgomery, Alex Lúcio Castro

Publication date: 21 January 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-012-0031-2

zbMATH Keywords

fibrationsarrangements of hyperplanesprolongationBott towerGoursat distributionNash blow-upCartan pointsmonster towersemple tower

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Differential invariants (local theory), geometric objects (53A55) Vector distributions (subbundles of the tangent bundles) (58A30) Classification; finite determinacy of map germs (58K40)

Related Items (7)

Complete spelling rules for the Monster tower over three-space ⋮ Projective bundles over small covers and the bundle triviality problem ⋮ A Semple-type approach to a problem of Goursat: the multi-flag case ⋮ Symmetries of special 2-flags ⋮ The dynamics of an articulated \(n\)-trailer vehicle ⋮ A monster tower approach to Goursat multi-flags ⋮ Bridges between subriemannian geometry and algebraic geometry: now and then

Cites Work

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• Drapeau theorem for differential systems
• Rigidity of integral curves of rank 2 distributions
• Bott towers, complete integrability, and the extended character of representations
• Symplectic real Bott manifolds
• Points and curves in the Monster tower
• Chains of points in the Semple tower
• Simple Singularities of Mappings C, 0 → C² , 0
• The enumeration of simultaneous higher-order contacts between plane curves
• Multi-flag systems and ordinary differential equations
• Simple singularities of space curves
• Geometry of differential equations
• Singularities of Space Algebraic Curves
• Some Investigations in the Geometry of Curve and Surface Elements
• Geometric approach to Goursat flags

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