Dominique Cerveau

1.0k total citations
52 papers, 527 citations indexed

About

Dominique Cerveau is a scholar working on Geometry and Topology, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Dominique Cerveau has authored 52 papers receiving a total of 527 indexed citations (citations by other indexed papers that have themselves been cited), including 45 papers in Geometry and Topology, 23 papers in Mathematical Physics and 17 papers in Applied Mathematics. Recurrent topics in Dominique Cerveau's work include Advanced Differential Equations and Dynamical Systems (36 papers), Algebraic Geometry and Number Theory (22 papers) and Mathematical Dynamics and Fractals (14 papers). Dominique Cerveau is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (36 papers), Algebraic Geometry and Number Theory (22 papers) and Mathematical Dynamics and Fractals (14 papers). Dominique Cerveau collaborates with scholars based in France, Brazil and Spain. Dominique Cerveau's co-authors include Alcides Lins Neto, Jean-François Mattéi, Robert Moussu, Felipe Cano, Michel Berthier, Paulo Sad, Frank Loray, Jorge Vitório Pereira, Jean-Pierre Conze and Albert Raugi and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Journal of Differential Equations.

In The Last Decade

Dominique Cerveau

43 papers receiving 454 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Dominique Cerveau France 12 491 193 191 82 70 52 527
Zbigniew Jelonek Poland 10 351 0.7× 93 0.5× 119 0.6× 65 0.8× 110 1.6× 64 412
Jun-Muk Hwang South Korea 14 604 1.2× 186 1.0× 321 1.7× 66 0.8× 55 0.8× 75 627
Zbigniew Słodkowski United States 12 391 0.8× 511 2.6× 311 1.6× 44 0.5× 80 1.1× 54 658
Marco Andreatta Italy 12 356 0.7× 77 0.4× 170 0.9× 56 0.7× 37 0.5× 41 378
J. F. Plante United States 13 442 0.9× 181 0.9× 463 2.4× 68 0.8× 47 0.7× 26 599
Alberto Verjovsky Mexico 10 284 0.6× 107 0.6× 175 0.9× 34 0.4× 49 0.7× 44 340
Shulim Kaliman United States 12 303 0.6× 83 0.4× 115 0.6× 24 0.3× 58 0.8× 37 316
Jean-Pierre Rosay United States 14 611 1.2× 589 3.1× 234 1.2× 36 0.4× 67 1.0× 49 765
Ivan Babenko Russia 11 293 0.6× 117 0.6× 258 1.4× 43 0.5× 42 0.6× 44 372
Alexander Brudnyi Canada 12 280 0.6× 282 1.5× 166 0.9× 69 0.8× 69 1.0× 81 429

Countries citing papers authored by Dominique Cerveau

Since Specialization
Citations

This map shows the geographic impact of Dominique Cerveau's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Dominique Cerveau with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Dominique Cerveau more than expected).

Fields of papers citing papers by Dominique Cerveau

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Dominique Cerveau. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Dominique Cerveau. The network helps show where Dominique Cerveau may publish in the future.

Co-authorship network of co-authors of Dominique Cerveau

This figure shows the co-authorship network connecting the top 25 collaborators of Dominique Cerveau. A scholar is included among the top collaborators of Dominique Cerveau based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Dominique Cerveau. Dominique Cerveau is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Cerveau, Dominique & Alcides Lins Neto. (2023). Commuting vector fields. Journal of Differential Equations. 355. 62–102.
2.
Cerveau, Dominique, et al.. (2023). Singularities of Holomorphic Codimension One Foliations of the Complex Projective Plane. Bulletin of the Brazilian Mathematical Society New Series. 54(2). 1 indexed citations
3.
Cerveau, Dominique, et al.. (2016). Birational maps preserving the contact structure on\n $\\mathbb{P}^3_\\mathbb{C}$. arXiv (Cornell University). 1 indexed citations
4.
Cerveau, Dominique, et al.. (2016). Feuilletages holomorphes de codimension 1: une étude locale dans le cas dicritique. Annales Scientifiques de l École Normale Supérieure. 49(1). 213–247.
5.
Cerveau, Dominique & Alcides Lins Neto. (2013). A structural theorem for codimension-one foliations on $\protect \mathbb{P}^n$ , $n\ge 3$ , with an application to degree-three foliations. French digital mathematics library (Numdam). 12(1). 1–41. 1 indexed citations
6.
Cerveau, Dominique. (2013). Quelques problèmes en géométrie feuilletée pour les 60 années de l’IMPA. Bulletin of the Brazilian Mathematical Society New Series. 44(4). 653–679. 6 indexed citations
7.
Cerveau, Dominique, et al.. (2013). A structural theorem for codimension one foliations on $\p^n$, $n\ge3$, with an application to degree three foliations. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. 1–41. 6 indexed citations
8.
Cerveau, Dominique, et al.. (2012). Centralisateurs dans le groupe de jonquieres. The Michigan Mathematical Journal. 61(4).
9.
Cerveau, Dominique, et al.. (2011). Itération d’applications rationnelles dans les espaces de matrices. Conformal Geometry and Dynamics of the American Mathematical Society. 15(7). 72–112.
10.
Cerveau, Dominique & Paulo Sad. (2009). Fonctions et feuilletages Levi-flat. Étude locale. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. 427–445. 4 indexed citations
11.
Cerveau, Dominique, et al.. (2006). Algebraic Reduction Theorem for complex codimension one singular foliations. Commentarii Mathematici Helvetici. 81(1). 157–169. 5 indexed citations
12.
Cerveau, Dominique & Alcides Lins Neto. (2000). Hypersurfaces exceptionnelles des endomorphismes de ??(n). Bulletin of the Brazilian Mathematical Society New Series. 31(2). 155–161. 15 indexed citations
13.
Berthier, Michel, et al.. (1999). Transformations isotropes des germes de feuilletages holomorphes. Journal de Mathématiques Pures et Appliquées. 78(7). 701–722. 10 indexed citations
14.
Cerveau, Dominique & Frank Loray. (1998). Un théorème de Frobenius singulier via l'arithmétique élémentaire. Journal of Number Theory. 68(2). 217–228. 5 indexed citations
15.
Cerveau, Dominique. (1997). Dérivations surjectives de l'anneau C[x,y]. Journal of Algebra. 195(1). 320–335. 3 indexed citations
16.
Berthier, Michel, Dominique Cerveau, & Alcides Lins Neto. (1996). Sur les feuilletages analytiques réels et le problème du centre. Journal of Differential Equations. 131(2). 244–266. 17 indexed citations
17.
Berthier, Michel & Dominique Cerveau. (1993). Quelques calculs de cohomologie relative. Annales Scientifiques de l École Normale Supérieure. 26(3). 403–424. 8 indexed citations
18.
Cerveau, Dominique. (1989). Equations diff\'erentielles alg\'ebriques: Remarques et problemes. 36(3). 665–680. 4 indexed citations
19.
Cerveau, Dominique & Jean-François Mattéi. (1982). Formes intégrables holomorphes singulières. 60 indexed citations
20.
Cerveau, Dominique. (1979). Distributions involutives singulières. Annales de l’institut Fourier. 29(3). 261–294. 10 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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