Dissertationen zum Thema „Feuilletages complexes“
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Burel, Thomas. „Déformation des feuilletages par variétés complexes“. Thesis, Dijon, 2010. http://www.theses.fr/2010DIJOS058.
Der volle Inhalt der QuelleThe aim of this work is to generalise the study of deformations of complex manifolds by kodaira and Spencer to the case of manifolds foliated by complex manifolds. After defning the notion of family of deformations of compact manifold foliated by complex manifolds, we prove a theorem of rigidity, one of completeness and one of existence in our framework. We can not apply one potential theory here, so we have to use power series technics
Slimène, Jihène. „Le ð [dbarre]pour certains feuilletages complexes“. Valenciennes, 2008. http://ged.univ-valenciennes.fr/nuxeo/site/esupversions/e34f4158-6928-4e55-878c-d134e0999f0d.
Der volle Inhalt der QuelleLeafwise Dolbeault cohomology measures the obstruction to solve the -problem along the leaves of a complex foliation. We compute this cohomology using essentially methods of cohomology of groups for some interesting examples : 1) a complex one dimensional linear foliation on the torus Tⁿ ; 2) a submersion whose fibres are elliptic curves ; 3) the two dimensional complex affine Reeb foliation on the Hopf manifold S4x S1 ; 4) the complex foliation on the hyperbolic torus obtained by a locally free action of the real affine Lie group where A∈SL (n,Z) is a hyperbolic and diagonalizable matrix whose eigenvalues are positive real numbers
Gautero, François. „CW-complexes dynamiques“. Nice, 1998. http://www.theses.fr/1998NICE5137.
Der volle Inhalt der QuelleLo, Bianco Federico. „Dynamique des transformations birationnelles des variétés hyperkähleriennes : feuilletages et fibrations invariantes“. Thesis, Rennes 1, 2017. http://www.theses.fr/2017REN1S034/document.
Der volle Inhalt der QuelleThis thesis lies at the interface between algebraic geometry and dynamical systems. The goal is to analyse the dynamical behaviour of automorphisms (or, more generally, of birational transformations) of compact Kaehler manifolds having trivial first Chern class, in particular of hyperkaehler manifolds. I study the existence of geometric structures which are preserved by the dynamics, in particular fibrations and foliations, under some assumptions about the cohomological action of the transformation
Hussenot, Desenonges Nicolas. „Mouvement brownien appliqué à l'étude de la dynamique des feuilletages transversalement holomorphes“. Nantes, 2012. http://www.theses.fr/2012NANT2101.
Der volle Inhalt der QuelleMeersseman, Laurent. „Un procédé géométrique de construction de variétés compactes complexes, non algébriques, en dimension quelconque“. Lille 1, 1998. https://pepite-depot.univ-lille.fr/LIBRE/Th_Num/1998/50376-1998-217.pdf.
Der volle Inhalt der QuelleZaffran, Dan (1974. „Surfaces d'Inoue-Hirzebruch, feuilletages sur les surfaces de classe VII, et problèmes de Serre“. Aix-Marseille 1, 2000. http://www.theses.fr/2000AIX11047.
Der volle Inhalt der QuelleRouille, Patrick. „Courbes polaires et courbure“. Dijon, 1996. http://www.theses.fr/1996DIJOS047.
Der volle Inhalt der QuelleCousin, Gaël. „Connexions plates logarithmiques de rang deux sur le plan projectif complexe“. Phd thesis, Université Rennes 1, 2012. http://tel.archives-ouvertes.fr/tel-00779098.
Der volle Inhalt der QuelleCanales, Gonzalez Carolina. „Hypersurfaces Levi-plates et leur complément dans les surfaces complexes“. Thesis, Université Paris-Saclay (ComUE), 2015. http://www.theses.fr/2015SACLS249/document.
Der volle Inhalt der QuelleIn this work we study analytic Levi-flat hypersurfaces in complex algebraic surfaces. These are real hypersurfaces that admit a foliation by holomorphic curves, called Cauchy Riemann foliation (CR). First, we show that if this foliation admits chaotic dynamics (i.e. if it doesn't admit an invariant transverse measure), then the connected components of the complement of the hypersurface are Stein. This allows us to extend the CR foliation to a singular algebraic foliation on the ambient complex surface. We apply this result to prove, by contradiction, that analytic Levi-flat hypersurfaces admitting a transverse affine structure in a complex algebraic surface have a transverse invariant measure. This leads us to conjecture that Levi-flat hypersurfaces in complex algebraic surfaces that are diffeomorphic to a hyperbolic tori bundle over the circle are fibrations by algebraic curves
Ben, Charrada Rochdi. „Cohomologie de Dolbeault feuilletée de certaines laminations complexes“. Phd thesis, Université de Valenciennes et du Hainaut-Cambresis, 2013. http://tel.archives-ouvertes.fr/tel-00871710.
Der volle Inhalt der QuelleGutierrez, Guillen Gabriela. „Qualitative study of physical phenomena through geometry of complex foliations“. Electronic Thesis or Diss., Bourgogne Franche-Comté, 2024. http://www.theses.fr/2024UBFCK012.
Der volle Inhalt der QuelleThrough an in-depth exploration of the underlying geometry, we provide a full mathematical description of the tennis racket effect, which is a geometric phenomenon observed in free rotational dynamics of rigid bodies. We examine the existence, origin, and robustness of this effect using the interplay between complex and real geometries. We also detect signatures of physical constraints on the moments of inertia of the body, in the geometric structure of the tennis racket effect. The analysis is extended to closely related phenomena such as the Dhzanibekov effect, the monster flip, and the Montgomery phase.The second part of the thesis focuses on Hamiltonian monodromy, which is the simplest topological obstruction to the existence of global action-angle coordinates for a completely integrable system. We show that the use of spectral Lax pairs provides a complex geometric structure that enables the study of Hamiltonian monodromy and the calculation of the corresponding monodromy matrix.Throughout this research work, we adopt a general framework that employs complex foliations to provide a geometric structure for the problems under study, leading to a deeper understanding of these phenomena
Trivedi, Saurabh. „Sur les stratifications réelles et analytiques complexes (a) - régulières de Whitney et Thom“. Thesis, Aix-Marseille, 2013. http://www.theses.fr/2013AIXM4719.
Der volle Inhalt der QuelleTrotman in 1979 proved that real smooth stratifications which satisfy the condition of $(a)$-regularity are precisely those stratifications for which transversality to the strata of smooth mappings is a stable condition in the strong topology. This was a surprising result since $(t)$-regularity seemed to be more appropriate for stability of transversality, a mistake that was made in several articles before this result of Trotman. Our first result is an analogue of this result of Trotman for the weak topology.Trotman asked more than ten years ago whether a similar result holds for complex analytic stratifications. We will give an analogue of Trotman's result in the complex setting using Forstneriv c's notion of Oka manifolds and show that the result is not true in general by giving counterexamples.In his Ph.D. thesis Trotman conjectured a generalization of his result for Thom $(a_f)$-regular stratifications. In an attempt to prove this conjecture we noticed that while transversality to a foliation is a stable condition, it is not generic in general. Thus, mimicking the proof of the result of Trotman would not suffice to obtain this generalization. Nevertheless, we will present a proof of this conjecture in this work. This result can be summarized by saying that Thom $(a_f)$-faults in a stratification can be detected by perturbation of maps transverse to the foliation induced by $f$. Some other techniques of detecting $(a_f)$-faults are also given towards the end
FIERRO, EDUARDO. „Ensembles invariants et tissus associes aux feuilletages holomorphes singuliers dans le plan complexe“. Rennes 1, 1996. http://www.theses.fr/1996REN10128.
Der volle Inhalt der QuelleHussenot, Nicolas. „Mouvement brownien appliqué à l'étude de la dynamique des feuilletages transversalement holomorphes“. Phd thesis, Université de Nantes, 2012. http://tel.archives-ouvertes.fr/tel-00874410.
Der volle Inhalt der QuelleChen, Zhangchi. „Differential invariants of parabolic surfaces and of CR hypersurfaces; Directed harmonic currents near non-hyperbolic linearized singularities; Hartogs’ type extension of holomorphic line bundles; (Non-)invertible circulant matrices On differential invariants of parabolic surfaces A counterexample to Hartogs’ type extension of holomorphic line bundles Directed harmonic currents near non-hyperbolic linearized singularities Affine Homogeneous Surfaces with Hessian rank 2 and Algebras of Differential Invariants On nonsingularity of circulant matrices“. Thesis, université Paris-Saclay, 2021. http://www.theses.fr/2021UPASM005.
Der volle Inhalt der QuelleThe thesis consists of 6 papers. (1) We calculate the generators of SA₃(ℝ)-invariants for parabolic surfaces. (2) We calculate rigid relative invariants for rigid constant Levi-rank 1 and 2-non-degenerate hypersurfaces in ℂ³: V₀, I₀, Q₀ having 11, 52, 824 monomials in their numerators. (3) We organize all affinely homogeneous nondegenerate surfaces in ℂ³ in inequivalent branches. (4) For a directed harmonic current near a non-hyperbolic linearized singularity which does not give mass to any of the trivial separatrices and whose trivial extension across 0 is ddc-closed, we show that the Lelong number at 0 is: 4.1) strictly positive if the eigenvalue λ>0; 4.2) zero if λ is a negative rational number; 4.3) zero if λ<0 and if T is invariant under the action of some cofinite subgroup of the monodromy group. (5) We construct non-extendable, in the sense of Hartogs, holomorphic line bundles in any dimension n>=2. (6) We show that circulant matrices having k ones and k+1 zeros in the first row are always nonsingular when 2k+1 is either a power of a prime, or a product of two distinct primes. For any other integer 2k+1 we exhibit a singular circulant matrix
Jaloux, Christophe. „Cohomologie des variétés feuilletées“. Phd thesis, Université Claude Bernard - Lyon I, 2008. http://tel.archives-ouvertes.fr/tel-00358710.
Der volle Inhalt der QuelleRousseau, Erwan. „Autour de l'hyperbolicité en géométrie complexe“. Habilitation à diriger des recherches, Université de Strasbourg, 2010. http://tel.archives-ouvertes.fr/tel-00533575.
Der volle Inhalt der QuelleBiolley, Anne-Laure. „Cohomologie de Floer, hyperbolicités symplectique et pseudocmplexe“. Phd thesis, Ecole Polytechnique X, 2008. http://pastel.archives-ouvertes.fr/pastel-00000702.
Der volle Inhalt der QuelleDamaville, Stéphane. „Opérateurs réguliers sur les modules de Hilbert associés au complexe de Rham“. Paris 7, 2002. http://www.theses.fr/2002PA077230.
Der volle Inhalt der QuelleBelotto, Da Silva André Ricardo. „Resolution of singularities in foliated spaces“. Phd thesis, Université de Haute Alsace - Mulhouse, 2013. http://tel.archives-ouvertes.fr/tel-00909798.
Der volle Inhalt der QuelleLiu, Jie. „Géométrie des variétés de Fano : sous-faisceaux du fibré tangent et diviseur fondamental“. Thesis, Université Côte d'Azur (ComUE), 2018. http://www.theses.fr/2018AZUR4038/document.
Der volle Inhalt der QuelleThis thesis is devoted to the study of complex Fano varieties via the properties of subsheaves of the tangent bundle and the geometry of the fundamental divisor. The main results contained in this text are:(i) A generalization of Hartshorne's conjecture: a projective manifold is isomorphic to a projective space if and only if its tangent bundle contains an ample subsheaf.(ii) Stability of tangent bundles of Fano manifolds with Picard number one: by proving vanishing theorems on the irreducible Hermitian symmetric spaces of compact type M, we establish that the tangent bundles of almost all general complete intersections in M are stable. Moreover, the same method also gives an answer to the problem of stability of the restriction of the tangent bundle of a complete intersection on a general hypersurface.(iii) Effective non-vanishing for Fano varieties and its applications: we study the positivity of the second Chern class of Fano manifolds with Picard number one, this permits us to prove a non-vanishing result for n-dimensional Fano manifolds with index n-3. As an application, we study the anticanonical geometry of Fano varieties and calculate the Seshadri constants of anticanonical divisors of Fano manifolds with large index.(iv) Fundamental divisors of smooth Moishezon threefolds with Picard number one: we prove the existence of a smooth divisor in the fundamental linear system in some special cases
Höring, Andreas. „Deux applications de la positivité à l'étude des variétés projectives complexes“. Phd thesis, 2006. http://tel.archives-ouvertes.fr/tel-00121528.
Der volle Inhalt der QuelleLa première question étudiée est de savoir si le revêtement universel d'une variété kählérienne lisse compacte avec un fibré tangent décomposé est un produit de deux variétés. A l'aide des familles couvrantes de courbes rationnelles nous montrons que certaines variétés avec un fibré tangent décomposé possèdent une structure d'espace fibré. Une étude systématique nous permet de donner une réponse affirmative à la question pour plusieurs classes de variétés.
La deuxième question étudiée est de savoir si la positivité d'un fibré en droites implique la positivité de l'image directe, par un morphisme projectif et plat, du fibré en droites adjoint. La réponse à cette question dépend de la positivité du fibré en droites et de ses liens avec la géométrie du morphisme considéré. Nous donnons une réponse positive à la question sous de faibles conditions géométriques.