{"id":48,"date":"2012-04-16T11:45:03","date_gmt":"2012-04-16T10:45:03","guid":{"rendered":"http:\/\/pageperso.math.univ-toulouse.fr\/reference\/?page_id=48"},"modified":"2025-05-14T09:45:02","modified_gmt":"2025-05-14T08:45:02","slug":"publications","status":"publish","type":"page","link":"https:\/\/perso.math.univ-toulouse.fr\/genzmer\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"<p><span style=\"font-size: 14pt\">Articles<\/span><\/p>\n<ul>\n<li><a href=\"\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2024\/06\/Marcelo_Yohann-4.pdf\" target=\"_blank\">On the Saito number of plane curves<\/a>, with M. Hernandes<br \/>\nBulletin of the Brazilian Mathematical Society , 2025 (accepted)<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2024\/05\/Moduli.Curve_.pdf\" target=\"_blank\">Number of moduli of a germ of complex plane curve<\/a><br \/>\nAnnali della Scuola Normale Superiore di Pisa, 2025 (accepted)<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/2302.12860\" target=\"_blank\">On the algebraicity of germs of meromorphic functions,<\/a> with R. Mol<br \/>\nInt. Math. Res. Not. IMRN, 2025 (accepted)<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2024\/04\/SaitoBasis.pdf\">The Saito module and the moduli of a germ of curve<br \/>\n<\/a>Annales de l&#8217;Institut Fourier, 2024<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2024\/04\/1-s2.0-S0747717122000207-main.pdf\">Number of moduli of a union of smooth curves in the complex plane<\/a><br \/>\nJournal of Symbolic Computation, 2022<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2024\/04\/rnaa237.pdf\">Dimension of the moduli space of a curve in the complex plane<\/a><br \/>\nInt. Math. Res. Not. IMRN, 2022<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2020\/02\/Tau-min-revised-C.pdf\">Generic Tjurina number for a branch plane<\/a>, with M. Hernandes<br \/>\nTransaction of the A.M.S. 2020<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2016\/09\/Polar-curve-dicritique-annalesENS.pdf\" target=\"_blank\">Polar curves and problem of Poincar\u00e9 for dicritical singularities in the complex plane<\/a>, with R. Mol<br \/>\nJournal of the Japan Mathematical Society, 2017<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2016\/09\/Revision-Schlesinger-IMRN.pdf\" target=\"_blank\">Schlesinger foliation of deformations of foliations<\/a><br \/>\nInt. Math. Res. Not. IMRN, 2016<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2016\/09\/dicritic-revision-etds.pdf\" target=\"_blank\">Classification and moduli space of dicritical foliations<\/a> with G. Calsamiglia<br \/>\nErgodic Theory and Dynamical System. 2015<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2016\/09\/Fol-Abs-New-Version.pdf\" target=\"_blank\">Classification of absolutely dicritical foliation of cusp type<\/a><br \/>\nPublicacions Matem\u00e0tiques, 2013<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2016\/09\/Fonction_QH15.pdf\">Moduli spaces for topologically quasi-homogeneous functions<\/a>, with Emmanuel Paul<br \/>\nJournal of Singularities, 2014.<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2016\/09\/non-algebraic-22-05.pdf\">Existence of a non-algebraic singularities of differential equation<\/a>, with Loic Teyssier.<br \/>\nJournal of Differential Equations Volume 248, Issue 5, 1 March 2010, Pages 1256-1267<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2016\/09\/Forme_Normale_soumise_09.pdf\" target=\"_blank\">Normal forms of foliations and curves defined by a function with generic tangent cone<\/a>, with Emmanuel Paul<br \/>\nMoscow Math. J., 2011, n.1<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2016\/09\/genzmer.pdf\" target=\"_blank\">Construction of foliations with prescribed separatrix<\/a><br \/>\nErgodic Theory and Dynamical System. 28, 2008 no. 3 817-842<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2016\/09\/Article-IRMN.pdf\" target=\"_blank\">Rigidity of dicritical foliation in C^2<\/a><br \/>\nInt. Math. Res. Not. IMRN 2007, no. 19, Art. ID rnm072, 14 pp. 32S65<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2023\/11\/manuscript.pdf\" target=\"_blank\">Analytical and formal classification of quasi-homogeneous foliations<\/a><br \/>\nJournal of Differential Equation, vol. 245 2008 no.6<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2016\/09\/CRAS1.ps\" target=\"_blank\">Un probl\u00e8me de Riemann-Hilbert local non-lin\u00e9aire pour les germes de feuilletages holomorphes singuliers en dimension deux<\/a><br \/>\nC.R.Acad. Sci. Paris, Ser. I 344(2007)<\/li>\n<\/ul>\n<p><span style=\"font-size: 14pt\">Others papers<\/span><\/p>\n<ul>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2012\/04\/HDR-Genzmer.pdf\">Sur la structure tangente d&#8217;une \u00e9quation diff\u00e9rentielle ordinaire du premier ordre dans le domaine complexe<\/a><br \/>\nHabilitation \u00e0 diriger des recherches.<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2012\/04\/Lecture-IMCA.pdf\">Cohomological tool in the study of complex foliations<\/a><br \/>\nCours de l&#8217;I.M.C.A., Perou.<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2012\/04\/theseYo.pdf\">D\u00e9formations isoholonomiques de feuilletages et modules de germes de courbes<\/a><br \/>\nPhd thesis<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2012\/04\/Glossaire.pdf\">Faire des math\u00e9matiques et les r\u00e9diger: petit guide de la d\u00e9monstration \u00e0 l&#8217;usage des \u00e9tudiants de Licence<\/a><\/li>\n<\/ul>\n<p><span style=\"font-size: 14pt\">Algorithms<\/span><\/p>\n<ul>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2012\/04\/ArbreDual.7.zip\">Courbes.planes<\/a> : an algorithm to compute some topological invariants for a germ of curve in the complex plane ( runs on Sage 9.* )<\/li>\n<li><a href=\"http:\/\/perso.math.univ-toulouse.fr\/genzmer\/files\/2012\/04\/Moduli.QH_.zip\">Moduli.QH<\/a>: a Maple algorithm to compute the number of moduli of a quasi-homogeneous curve.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Articles On the Saito number of plane curves, with M. Hernandes Bulletin of the Brazilian Mathematical Society , 2025 (accepted) Number of moduli of a germ of complex plane curve Annali della Scuola Normale Superiore di Pisa, 2025 (accepted) On the algebraicity of germs of meromorphic functions, with R. Mol Int. Math. Res. Not. IMRN, [&hellip;]<\/p>\n","protected":false},"author":161,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-48","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/perso.math.univ-toulouse.fr\/genzmer\/wp-json\/wp\/v2\/pages\/48","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/perso.math.univ-toulouse.fr\/genzmer\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/perso.math.univ-toulouse.fr\/genzmer\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/perso.math.univ-toulouse.fr\/genzmer\/wp-json\/wp\/v2\/users\/161"}],"replies":[{"embeddable":true,"href":"https:\/\/perso.math.univ-toulouse.fr\/genzmer\/wp-json\/wp\/v2\/comments?post=48"}],"version-history":[{"count":64,"href":"https:\/\/perso.math.univ-toulouse.fr\/genzmer\/wp-json\/wp\/v2\/pages\/48\/revisions"}],"predecessor-version":[{"id":381,"href":"https:\/\/perso.math.univ-toulouse.fr\/genzmer\/wp-json\/wp\/v2\/pages\/48\/revisions\/381"}],"wp:attachment":[{"href":"https:\/\/perso.math.univ-toulouse.fr\/genzmer\/wp-json\/wp\/v2\/media?parent=48"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}