Index of a singular point of a vector field, the Petrovskii — Oleinik inequality, and mixed hodge structures

Author:

Arnol'd V. I.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference23 articles.

1. V. I. Arnol'd, "Normal forms of functions in the neighborhood of degenerate critical points," Usp. Mat. Nauk,29, No. 2, 11–49 (1974).

2. V. I. Arnol'd, "Some unsolved problems of the theory of singularities. The theory of cubic formulas and the application of functional analysis to problems of mathematical physics," Tr. Sem. S. L. Soboleva, No. 1, Novosibirsk (1976).

3. V. I. Arnol'd, "Modern development of the work of I. G. Petrovskii in the topology of real algebraic manifolds," Usp. Mat. Nauk,32, No. 3, 215–216 (1977).

4. M. F. Atiyah and I. M. Singer, "The index of elliptic operators. III," Usp. Mat. Nauk,26, No. 1, 127–182 (1969).

5. A. N. Varchenko, "The characteristic polynomial of the monodromy and the Newton diagram," Invent. Math.,37, 253–262 (1976).

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