Intrinsic stratifications of analytic varieties

François Treves

Abstract


By associating a Lie algebra of analytic vector elds to every point of an analytic variety and using the associated Nagano foliation, this work presents a coordinate-free stratication of analytic sets.


Keywords


Analytic varieties; Stratification; Symplectic manifolds

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References


[Lojasiewicz, 1959] Lojaciewicz, S., Sur le probleme de la division, Studia Math. XVIII (1959), 87-136.

[Nagano, 1966] Nagano, T., Linear differential systems with singularities and applications to transitive Lie algebras, J. Math. Soc. Japan 18 (1966), 398-404.

[Osgood, 1929] Osgood, W. P., Lehrbuch der Funktionentheorie, II, 1, Leipsig 1929.




DOI: 10.6092/issn.2240-2829/4156

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