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Strongly not relatives Kähler manifolds

Michela Zedda (2017)

Complex Manifolds

In this paper we study Kähler manifolds that are strongly not relative to any projective Kähler manifold, i.e. those Kähler manifolds that do not share a Kähler submanifold with any projective Kähler manifold even when their metric is rescaled by the multiplication by a positive constant. We prove two results which highlight some relations between this property and the existence of a full Kähler immersion into the infinite dimensional complex projective space. As application we get that the 1-parameter...

Structure de Hodge mixte sur la cohomologie évanescente

Philippe Du Bois (1985)

Annales de l'institut Fourier

Soit X → S un morphisme propre d’un C -schéma intègre dans un germe de courbe algébrique lisse sur C . On construit une structure de Hodge mixte sur les cohomologies évanescentes en résolvant les complexes évanescents R ψ X et R ϕ X par des complexes de Hodge mixtes cohomologiques. Ceci donne une majoration du niveau d’unipotence de l’action de la monodromie.

Structure fractals and para-quaternionic geometry

Julian Ławrynowicz, Massimo Vaccaro (2011)

Annales UMCS, Mathematica

It is well known that starting with real structure, the Cayley-Dickson process gives complex, quaternionic, and octonionic (Cayley) structures related to the Adolf Hurwitz composition formula for dimensions p = 2, 4 and 8, respectively, but the procedure fails for p = 16 in the sense that the composition formula involves no more a triple of quadratic forms of the same dimension; the other two dimensions are n = 27. Instead, Ławrynowicz and Suzuki (2001) have considered graded fractal bundles of...

Structure of leaves and the complex Kupka-Smale property

Tanya Firsova (2013)

Annales de l’institut Fourier

We study topology of leaves of 1 -dimensional singular holomorphic foliations of Stein manifolds. We prove that for a generic foliation all leaves, except for at most countably many, are contractible, the rest are topological cylinders. We show that a generic foliation is complex Kupka-Smale.

Structure of spaces of germs of holomorphic functions.

Nguyen Van Khue, P. Thien Danh (1997)

Publicacions Matemàtiques

Let E be a Frechet (resp. Frechet-Hilbert) space. It is shown that E ∈ (Ω) (resp. E ∈ (DN)) if and only if [H(OE)]' ∈ (Ω) (resp. [H(OE)]' ∈ (DN)). Moreover it is also shown that E ∈ (DN) if and only if Hb(E') ∈ (DN). In the nuclear case these results were proved by Meise and Vogt [2].

Structure of the kernel of higher spin Dirac operators

Martin Plechšmíd (2001)

Commentationes Mathematicae Universitatis Carolinae

Polynomials on ℝ n with values in an irreducible Spin n -module form a natural representation space for the group Spin n . These representations are completely reducible. In the paper, we give a complete description of their decompositions into irreducible components for polynomials with values in a certain range of irreducible modules. The results are used to describe the structure of kernels of conformally invariant elliptic first order systems acting on maps on ℝ n with values in these modules.

Structures affines et projectives sur les surfaces complexes

Bruno Klingler (1998)

Annales de l'institut Fourier

Une structure complexe affine (resp. projective) sur une surface complexe est la donnée d’un atlas de cartes à valeur dans ℂ 2 (resp. P 2 ℂ ) à changements de cartes localement constants dans le groupe affine A ( 2 , ℂ ) (resp. le groupe P G L ( 3 , ℂ ) ). Dans cet article nous classifions les surfaces complexes affines et calculons, à surface complexe S fixée, l’espace de déformation des structures complexes affines sur S compatibles avec sa structure analytique. Nous montrons aussi que toute structure projective sur une surface...

Su alcune formule integrali per le funzioni di più variabili complesse

Guido Lupacciolu (1981)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

General topological conditions are given for integration cycles of a certain class of integral formulas for holomorphic functions of several complex variables.

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