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Let $X ≅ C^{n}$ , let $M$ be a $C^{2}$ hypersurface of $X$ , $S$ be a $C^{2}$ submanifold of $M$ . Denote by $L_{M}$ the Levi form of $M$ at $z_{0} \in S$ . In a previous paper [3] two numbers $s^{\pm} (S, p)$ , $p \in {({\dot{T}}_{S}^{*} X)}_{z_{0}}$ are defined; for $S = M$ they are the numbers of positive and negative eigenvalues for $L_{M}$ . For $S \subset M$ , $p \in S \times_{M} \dot{T}^{*}_{S} X)$ , we show here that $s^{\pm} (S, p)$ are still the numbers of positive and negative eigenvalues for $L_{M}$ when restricted to $T_{z_{0}}^{C} S$ . Applications to the concentration in degree for microfunctions at the boundary are given.

Lieu des pôles d'un système holonome d'équations aux différences finies

Claude Sabbah (1992)

Bulletin de la Société Mathématique de France

Linearisierung formal-biholomorpher Abbildungen und Interationsprobleme.

Ludwig Reich, Jens Schwaiger (1980)

Aequationes mathematicae

Linking numbers and boundaries of varieties.

Alexander, H., Wermer, John (2000)

Annals of Mathematics. Second Series

Liouville-type theorems for foliations with complex leaves

Giuseppe Della Sala (2010)

Annales de l’institut Fourier

In this paper we discuss various problems regarding the structure of the foliation of some foliated submanifolds $S$ of $ℂ^{n}$ , in particular Levi flat ones. As a general scheme, we suppose that $S$ is bounded along a coordinate (or a subset of coordinates), and prove that the complex leaves of its foliation are planes.

Lipschitz equisingularity [Book]

Tadeusz Mostowski (1985)

Localization of global existence of holomorphic solutions of holomorphic differential equations with infinite dimensional parameter

Joji Kajiwara, Kwang Ho Shon, Miki Tsuji (1998)

Czechoslovak Mathematical Journal

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Le théorème de l'indice relatif

Le théorème des images directes de Grauert

Le théorème des zéros en géométries algébrique et analytique réelles

Le théorème des zéros pour les variétés analytiques réelles de dimension $2$

Lefschetzsätze und Hyperkonvexität.

Les courants résidus multiples

Levi's forms of higher codimensional submanifolds

Lieu des pôles d'un système holonome d'équations aux différences finies

Linearisierung formal-biholomorpher Abbildungen und Interationsprobleme.

Linking numbers and boundaries of varieties.

Liouville-type theorems for foliations with complex leaves

Lipschitz equisingularity [Book]

Lipschitz stratification of real analytic sets

Local algebraicity of analytic sets.

Local Cohomolgy Along Exceptional Sets.

Local Complex Foliation of Real Submanifolds.

Local Homological Properties of Analytic Sets.

Local homology and cohomology on schemes

Localisation de systèmes différentiels, stratifications de Whitney et condition de Thom.

Localization of global existence of holomorphic solutions of holomorphic differential equations with infinite dimensional parameter

Currently displaying 361 – 380 of 747