Littérature scientifique sur le sujet « Complex foliations »
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Articles de revues sur le sujet "Complex foliations"
Deroin, Bertrand, et Adolfo Guillot. « Foliated affine and projective structures ». Compositio Mathematica 159, no 6 (15 mai 2023) : 1153–87. http://dx.doi.org/10.1112/s0010437x2300711x.
Texte intégralMol, Rogério S. « Flags of holomorphic foliations ». Anais da Academia Brasileira de Ciências 83, no 3 (29 juillet 2011) : 775–86. http://dx.doi.org/10.1590/s0001-37652011005000025.
Texte intégralAZEVEDO SCÁRDUA, B. C., et J. C. CANILLE MARTINS. « ON THE GROWTH OF HOLOMORPHIC PROJECTIVE FOLIATIONS ». International Journal of Mathematics 13, no 07 (septembre 2002) : 695–726. http://dx.doi.org/10.1142/s0129167x02001502.
Texte intégralMartelo, Mitchael, et Bruno Scárdua. « On groups of formal diffeomorphisms of several complex variables ». Anais da Academia Brasileira de Ciências 84, no 4 (décembre 2012) : 873–80. http://dx.doi.org/10.1590/s0001-37652012000400002.
Texte intégralScardua, Bruno Cesar Azevedo, et Liliana Jurado. « On transversely holomorphic foliations with homogeneous transverse structure ». Proceedings of the International Geometry Center 16, no 3 (12 novembre 2023) : 192–216. http://dx.doi.org/10.15673/pigc.v16i3.2304.
Texte intégralTomassini, Giuseppe. « Foliations with complex leaves ». Banach Center Publications 31, no 1 (1995) : 367–72. http://dx.doi.org/10.4064/-31-1-367-372.
Texte intégralAraujo, Carolina, et Paulo João Figueredo. « Foliations on Complex Manifolds ». Notices of the American Mathematical Society 69, no 07 (1 août 2022) : 1. http://dx.doi.org/10.1090/noti2507.
Texte intégralIda, Cristian. « On complex Riemannian foliations ». Journal of Physics : Conference Series 670 (25 janvier 2016) : 012025. http://dx.doi.org/10.1088/1742-6596/670/1/012025.
Texte intégralGigante, Giuliana, et Giuseppe Tomassini. « Foliations with complex leaves ». Differential Geometry and its Applications 5, no 1 (mars 1995) : 33–49. http://dx.doi.org/10.1016/0926-2245(95)00004-n.
Texte intégralGonzález-Dávila, José Carmelo. « Harmonicity and minimality of complex and quaternionic radial foliations ». Forum Mathematicum 30, no 3 (1 mai 2018) : 785–98. http://dx.doi.org/10.1515/forum-2017-0076.
Texte intégralThèses sur le sujet "Complex foliations"
Gutierrez, 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.
Texte intégralThrough 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
PERRONE, CARLO. « Extendable cohomologies for complex analytic varieties ». Doctoral thesis, Università degli Studi di Roma "Tor Vergata", 2008. http://hdl.handle.net/2108/445.
Texte intégralWe introduce a cohomology, called extendable cohomology, for abstract complex singular varieties based on suitable differential forms. Aside a study of the general properties of such cohomology, we show that, given a complex vector bundle, one can compute its topological Chern classes using the extendable Chern classes, defined via a Chern-Weil type theory. We also prove that the localizations of the extendable Chern classes represent the localizations of the respective topological Chern classes, thus obtaining an abstract residue theorem for compact singular complex analytic varieties. As an application of our theory, we prove a Camacho-Sad type index theorem for holomorphic foliations of singular complex varieties.
Belotto, 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.
Texte intégralCanales, Gonzalez Carolina. « Hypersurfaces Levi-plates et leur complément dans les surfaces complexes ». Thesis, Université Paris-Saclay (ComUE), 2015. http://www.theses.fr/2015SACLS249/document.
Texte intégralIn 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
Reis, Vinícius Soares dos. « Hipersuperfícies invariantes em dinâmica complexa ». Universidade Federal de Viçosa, 2012. http://locus.ufv.br/handle/123456789/4914.
Texte intégralCoordenação de Aperfeiçoamento de Pessoal de Nível Superior
We talk about versions the theorem of integrability Darboux - Jouanolou for endomorphisms, fields, or r-polynomial differential forms. These versions say essentially that there are infinitely many algebraic hypersurfaces invariant if and only if the dynamical system in question preserves a pencil of hypersurfaces.
Dissertamos sobre versões do teorema de integrabilidade de Darboux - Jouanolou para endomorfismos, campos ou r-formas diferenciais polinomiais. Tais versões dizem essencialmente que existem infinitas hipersuperfícies algébricas invariantes se, e somente se, o sistema dinâmico em questão preserva um pencil de hipersuperfícies.
Trivedi, Saurabh. « Sur les stratifications réelles et analytiques complexes (a) - régulières de Whitney et Thom ». Thesis, Aix-Marseille, 2013. http://www.theses.fr/2013AIXM4719.
Texte intégralTrotman 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
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.
Texte intégralChen, 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.
Texte intégralThe 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
Liu, 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.
Texte intégralThis 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
Firsova, Tatiana. « Dynamical Foliations ». Thesis, 2010. http://hdl.handle.net/1807/26148.
Texte intégralLivres sur le sujet "Complex foliations"
1943-, Camacho César, et Instituto de Matemática Pura e Aplicada (Brazil), dir. Complex analytic methods in dynamical systems : IMPA, January 1992. Paris, France : Société mathématique de France, 1994.
Trouver le texte intégralNeto, Alcides Lins, et Bruno Scárdua. Complex Algebraic Foliations. de Gruyter GmbH, Walter, 2020.
Trouver le texte intégralNeto, Alcides Lins, et Bruno Scárdua. Complex Algebraic Foliations. de Gruyter GmbH, Walter, 2020.
Trouver le texte intégralNeto, Alcides Lins, et Bruno Scárdua. Complex Algebraic Foliations. de Gruyter GmbH, Walter, 2020.
Trouver le texte intégralComplex manifolds, foliations, and uniformization. Paris : Société Mathématique de France, 2011.
Trouver le texte intégralBraid foliations in low-dimensional topology. Springer, 2017.
Trouver le texte intégralFarb, Benson, et Dan Margalit. Teichmuller Geometry. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0012.
Texte intégralChapitres de livres sur le sujet "Complex foliations"
Waliszewski, Włodzimierz. « Complex Premanifolds and Foliations ». Dans Deformations of Mathematical Structures, 65–78. Dordrecht : Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-2643-1_7.
Texte intégralScárdua, Bruno. « Foliations on Complex Projective Spaces ». Dans Holomorphic Foliations with Singularities, 91–114. Cham : Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76705-1_9.
Texte intégralScárdua, Bruno. « Some Results from Several Complex Variables ». Dans Holomorphic Foliations with Singularities, 11–16. Cham : Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76705-1_2.
Texte intégralIlyashenko, Yulij, et Sergei Yakovenko. « Global properties of complex polynomial foliations ». Dans Graduate Studies in Mathematics, 469–597. Providence, Rhode Island : American Mathematical Society, 2007. http://dx.doi.org/10.1090/gsm/086/05.
Texte intégralGromoll, Detlef, et Karsten Grove. « One-Dimensional Metric Foliations in Constant Curvature Spaces ». Dans Differential Geometry and Complex Analysis, 165–68. Berlin, Heidelberg : Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-69828-6_11.
Texte intégralCamacho, César, et Maria Izabel Camacho. « Complex Foliations Arising from Polynomial Differential Equations ». Dans Bifurcations and Periodic Orbits of Vector Fields, 1–18. Dordrecht : Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-015-8238-4_1.
Texte intégralNovikov, Dmitry, et Sergei Yakovenko. « Rolle Models in the Real and Complex World ». Dans Handbook of Geometry and Topology of Singularities V : Foliations, 281–334. Cham : Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-52481-3_6.
Texte intégralCavalier, Vincent, et Daniel Lehmann. « Bounding from below the Degree of an Algebraic One-dimensional Foliation Having a Prescribed Algebraic Solution ». Dans Real and Complex Singularities, 47–51. Basel : Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7776-2_5.
Texte intégralGuillot, Adolfo. « On the Singularities of Complete Holomorphic Vector Fields in Dimension Two ». Dans Handbook of Geometry and Topology of Singularities VI : Foliations, 1–37. Cham : Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-54172-8_1.
Texte intégralFernandez, Francisco J., et Alberto Marcos. « Mylonitic Foliation Developed by Heterogeneous Pure Shear under High-Grade Conditions in Quartzofeldspathic Rocks (Chímparra Gneiss Formation, Cabo Ortegal Complex, NW Spain) ». Dans Proceedings of the International Conferences on Basement Tectonics, 17–34. Dordrecht : Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-1598-5_2.
Texte intégralActes de conférences sur le sujet "Complex foliations"
Asuke, Taro. « ON THE JULIA SETS OF COMPLEX CODIMENSION-ONE TRANSVERSALLY HOLOMORPHIC FOLIATIONS ». Dans Proceedings of the VIII International Colloquium. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814261173_0006.
Texte intégralZhu, X., M. Serati, E. Mutaz et Z. Chen. « True Triaxial Testing of Anisotropic Solids ». Dans 56th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2022. http://dx.doi.org/10.56952/arma-2022-2125.
Texte intégralRapports d'organisations sur le sujet "Complex foliations"
Boily-Auclair, É., P. Mercier-Langevin, P. S. Ross et D. Pitre. Alteration and ore assemblages of the LaRonde Zone 5 (LZ5) deposit and Ellison mineralized zones, Doyon-Bousquet-LaRonde mining camp, Abitibi, Quebec. Natural Resources Canada/CMSS/Information Management, 2022. http://dx.doi.org/10.4095/329637.
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