Intrinsic stratifications of analytic varieties

Authors

  • François Treves Rutgers University

DOI:

https://doi.org/10.6092/issn.2240-2829/4156

Keywords:

Analytic varieties, Stratification, Symplectic manifolds

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.

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.

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Published

2013-12-28

How to Cite

Treves, F. (2013). Intrinsic stratifications of analytic varieties. Bruno Pini Mathematical Analysis Seminar, 4(1), 76–83. https://doi.org/10.6092/issn.2240-2829/4156

Issue

Seminars 2013

Section

Articles

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Copyright (c) 2013 François Treves

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