Complex ODEs, singularity theory and dynamics (Q6592004)

scientific article; zbMATH DE number 7900721

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English	Complex ODEs, singularity theory and dynamics	scientific article; zbMATH DE number 7900721

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instance of

scholarly article

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title

Complex ODEs, singularity theory and dynamics (English)

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author

Helena Reis

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published in

Communications in Mathematics

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publication date

23 August 2024

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zbMATH Keywords

holomorphic foliation

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complex ODE

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generic pseudogroups

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MaRDI profile type

Publication

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cites work

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Q3336052

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REMARKS ON THE ORBITAL ANALYTIC CLASSIFICATION OF GERMS OF VECTOR FIELDS

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Germs of holomorphic vector fields in $\mathbb{C}^ 3$ without a separatrix

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Semicompleteness of homogeneous quadratic vector fields

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On the equations of Halphen and $\mathrm{SL}_{2}(\mathbb C)$-actions

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Hypersurfaces solutions d'une équation de Pfaff analytique

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Equations de Pfaff algébriques

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Existence d'une intégrale première méromorphe pour des germes de feuilletages a feuilles fermées du plan complexe. (Existence of a meromorphic first integral for the germs of foliations with closed leaves in the complex plane)

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Quand deux sous-variétés sont forcées par leur géométrie à se rencontrer

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Algebraic solutions of one-dimensional foliations

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Minimal, rigid foliations by curves on $\mathbb C\mathbb P^n$

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Frobenius avec singularites. I: Codimension un

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Holonomie et intégrales premières

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Generic pseudogroups on $( \mathbb{C} , 0)$ and the topology of leaves

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Almost étale resolution of foliations

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Resolution of singularities of real-analytic vector fields in dimension three

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Cyclic stabilizers and infinitely many hyperbolic orbits for pseudogroups on

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Uniformizing complex ODEs and applications

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2-dimensional Lie algebras and separatrices for vector fields on $(\mathbb{C}^3, 0)$

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Discrete orbits, recurrence and solvable subgroups of Diff $(\mathbb {C}^2, 0)$

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On the resolution of singularities of one-dimensional foliations on three-manifolds

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Singularities of holomorphic vector fields in dimensions $\geq 3$: results and problems

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Equivalence and semi-completude of foliations

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Semi-complete vector fields of saddle-node type in $\mathbb {C}^n$

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Recurrent orbits of subgroups of local complex analytic diffeomorphisms

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Reduction of Singularities of the Differential Equation Ady = Bdx

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Identifiers

Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6592004