Rebelo, Julio C.; Reis, Helena On the resolution of singularities of one-dimensional foliations on three-manifolds. (English. Russian original) Zbl 1471.32049 Russ. Math. Surv. 76, No. 2, 291-355 (2021); translation from Usp. Mat. Nauk 76, No. 2, 103-176 (2021). MSC: 32S45 32S65 PDFBibTeX XMLCite \textit{J. C. Rebelo} and \textit{H. Reis}, Russ. Math. Surv. 76, No. 2, 291--355 (2021; Zbl 1471.32049); translation from Usp. Mat. Nauk 76, No. 2, 103--176 (2021) Full Text: DOI
Guillot, Adolfo On the local univalence of nondegenerate holomorphic vector fields. (Sur l’univalence locale des champs de vecteurs holomorphes non-dégénérés.) (English. French summary) Zbl 1494.34192 C. R., Math., Acad. Sci. Paris 358, No. 7, 877-880 (2020). Reviewer: Jesus Muciño Raymundo (Morelia) MSC: 34M45 34M25 32S65 PDFBibTeX XMLCite \textit{A. Guillot}, C. R., Math., Acad. Sci. Paris 358, No. 7, 877--880 (2020; Zbl 1494.34192) Full Text: DOI
Guillot, Adolfo; Ramírez, Valente On the multipliers at fixed points of quadratic self-maps of the projective plane with an invariant line. (English) Zbl 1434.37027 Comput. Methods Funct. Theory 19, No. 4, 687-716 (2019). MSC: 37F10 37J70 37C25 PDFBibTeX XMLCite \textit{A. Guillot} and \textit{V. Ramírez}, Comput. Methods Funct. Theory 19, No. 4, 687--716 (2019; Zbl 1434.37027) Full Text: DOI arXiv
Guillot, Adolfo Quadratic differential equations in three variables without multivalued solutions. I. (English) Zbl 1407.34124 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 122, 46 p. (2018). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M99 34M55 34M35 PDFBibTeX XMLCite \textit{A. Guillot}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 122, 46 p. (2018; Zbl 1407.34124) Full Text: DOI arXiv
Rebelo, Julio C.; Reis, Helena 2-dimensional Lie algebras and separatrices for vector fields on \((\mathbb{C}^3, 0)\). (English. French summary) Zbl 1328.32004 J. Math. Pures Appl. (9) 105, No. 2, 248-264 (2016). MSC: 32M05 32M25 PDFBibTeX XMLCite \textit{J. C. Rebelo} and \textit{H. Reis}, J. Math. Pures Appl. (9) 105, No. 2, 248--264 (2016; Zbl 1328.32004) Full Text: DOI arXiv
Guillot, Adolfo Vector fields, separatrices and Kato surfaces. (Champs de vecteurs, séparatrices et surfaces de Kato.) (English. French summary) Zbl 1335.32025 Ann. Inst. Fourier 64, No. 3, 1331-1361 (2014). Reviewer: Filippo Bracci (Roma) MSC: 32S65 32C20 34M45 PDFBibTeX XMLCite \textit{A. Guillot}, Ann. Inst. Fourier 64, No. 3, 1331--1361 (2014; Zbl 1335.32025) Full Text: DOI arXiv
Ito, T.; Scárdua, B.; Yamagishi, Y. On holomorphic flows on Stein surfaces: transversality, dicriticalness and stability. (English) Zbl 1308.32015 Int. J. Math. 25, No. 10, Article ID 1450093, 20 p. (2014). Reviewer: Pedro Fortuny Ayuso (Gijón) MSC: 32E10 32S65 37F75 32M25 PDFBibTeX XMLCite \textit{T. Ito} et al., Int. J. Math. 25, No. 10, Article ID 1450093, 20 p. (2014; Zbl 1308.32015) Full Text: DOI arXiv
Rebelo, Julio C.; Reis, Helena Uniformizing complex ODEs and applications. (English) Zbl 1345.37053 Rev. Mat. Iberoam. 30, No. 3, 799-874 (2014). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 37F75 34M05 34M55 PDFBibTeX XMLCite \textit{J. C. Rebelo} and \textit{H. Reis}, Rev. Mat. Iberoam. 30, No. 3, 799--874 (2014; Zbl 1345.37053) Full Text: DOI arXiv
Cerveau, Dominique Some problems in the geometry of foliations for the 60th anniversary of IMPA. (Quelques problèmes en géométrie feuilletée pour les 60 années de l’IMPA.) (French. English summary) Zbl 1333.37061 Bull. Braz. Math. Soc. (N.S.) 44, No. 4, 653-679 (2013). MSC: 37F75 32S65 PDFBibTeX XMLCite \textit{D. Cerveau}, Bull. Braz. Math. Soc. (N.S.) 44, No. 4, 653--679 (2013; Zbl 1333.37061) Full Text: DOI
Guillot, Adolfo; Rebelo, Julio Semicomplete meromorphic vector fields on complex surfaces. (English) Zbl 1250.32023 J. Reine Angew. Math. 667, 27-65 (2012). Reviewer: Carlos Galindo (Castellon) MSC: 32M25 37F75 PDFBibTeX XMLCite \textit{A. Guillot} and \textit{J. Rebelo}, J. Reine Angew. Math. 667, 27--65 (2012; Zbl 1250.32023) Full Text: DOI
Arroyo, Aubin; Guillot, Adolfo A rigidity phenomenon for germs of actions of \(\mathbb{R}^2\). (English) Zbl 1214.22001 Ann. Fac. Sci. Toulouse, Math. (6) 19, No. 3-4, 539-565 (2010). Reviewer: Liviu Popescu (Craiova) MSC: 22E05 17B66 PDFBibTeX XMLCite \textit{A. Arroyo} and \textit{A. Guillot}, Ann. Fac. Sci. Toulouse, Math. (6) 19, No. 3--4, 539--565 (2010; Zbl 1214.22001) Full Text: DOI EuDML
Reis, Helena Semi-complete vector fields of saddle-node type in \(\mathbb {C}^n\). (English) Zbl 1159.32021 Trans. Am. Math. Soc. 360, No. 12, 6611-6630 (2008). Reviewer: Filippo Bracci (Roma) MSC: 32S65 37F75 53C12 PDFBibTeX XMLCite \textit{H. Reis}, Trans. Am. Math. Soc. 360, No. 12, 6611--6630 (2008; Zbl 1159.32021) Full Text: DOI
Guillot, Adolfo On the equations of Halphen and \(\mathrm{SL}_{2}(\mathbb C)\)-actions. (Sur les équations d’Halphen et les actions de \(\mathrm{SL}_{2}(\mathbb C)\).) (French) Zbl 1141.32007 Publ. Math., Inst. Hautes Étud. Sci. 105, 221-294 (2007). Reviewer: Salah Mehdi (Nanterre) MSC: 32M15 34A26 14M17 14C30 PDFBibTeX XMLCite \textit{A. Guillot}, Publ. Math., Inst. Hautes Étud. Sci. 105, 221--294 (2007; Zbl 1141.32007) Full Text: DOI Numdam EuDML
Reis, Helena Semi-complete foliations associated to Hamiltonian vector fields in dimension 2. (English) Zbl 1107.37036 J. Math. Anal. Appl. 328, No. 2, 813-820 (2007). MSC: 37F45 37J99 PDFBibTeX XMLCite \textit{H. Reis}, J. Math. Anal. Appl. 328, No. 2, 813--820 (2007; Zbl 1107.37036) Full Text: DOI
Guillot, Adolfo Semicompleteness of homogeneous quadratic vector fields. (English. French summary) Zbl 1110.37040 Ann. Inst. Fourier 56, No. 5, 1583-1615 (2006). MSC: 37F75 32S65 34M05 34M35 PDFBibTeX XMLCite \textit{A. Guillot}, Ann. Inst. Fourier 56, No. 5, 1583--1615 (2006; Zbl 1110.37040) Full Text: DOI Numdam Numdam EuDML
Reis, Helena Equivalence and semi-completude of foliations. (English) Zbl 1134.37345 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 8, 1654-1665 (2006). MSC: 37F75 32S65 PDFBibTeX XMLCite \textit{H. Reis}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 8, 1654--1665 (2006; Zbl 1134.37345) Full Text: DOI
Rebelo, Julio C. Complete algebraic vector fields on affine surfaces. II. (English) Zbl 1089.32028 J. Differ. Equations 216, No. 1, 32-77 (2005). Reviewer: Richárd Rimányi (Ohio) MSC: 32S65 PDFBibTeX XMLCite \textit{J. C. Rebelo}, J. Differ. Equations 216, No. 1, 32--77 (2005; Zbl 1089.32028) Full Text: DOI
Rebelo, Julio C. Meromorphic vector fields and elliptic fibrations. (English) Zbl 1072.32013 Mich. Math. J. 52, No. 1, 33-59 (2004). Reviewer: Alexey A. Glutsyuk (Lyon) MSC: 32M25 37F75 32S65 PDFBibTeX XMLCite \textit{J. C. Rebelo}, Mich. Math. J. 52, No. 1, 33--59 (2004; Zbl 1072.32013) Full Text: DOI
Rebelo, Julio C. Complete algebraic vector fields on affine surfaces. I. (English) Zbl 1061.32024 J. Geom. Anal. 13, No. 4, 669-696 (2003). Reviewer: Richárd Rimányi (Ohio) MSC: 32S65 32J15 32M25 PDFBibTeX XMLCite \textit{J. C. Rebelo}, J. Geom. Anal. 13, No. 4, 669--696 (2003; Zbl 1061.32024) Full Text: DOI
Guillot, Adolfo On Lins Neto’s examples of algebraic foliations. (Sur les exemples de Lins Neto de feuilletages algébriques.) (French. Abridged English version) Zbl 1004.37029 C. R., Math., Acad. Sci. Paris 334, No. 9, 747-750 (2002). Reviewer: A.Morimoto (Nagoya) MSC: 37F75 32S65 37C85 57R30 PDFBibTeX XMLCite \textit{A. Guillot}, C. R., Math., Acad. Sci. Paris 334, No. 9, 747--750 (2002; Zbl 1004.37029) Full Text: DOI
Rebelo, Julio C. Realization of germs of holomorphic foliations by semi-complete fields in dimension 2. (Réalisation de germes de feuilletages holomorphes par des champs semi-complets en dimension 2.) (French) Zbl 1002.32025 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 9, No. 4, 735-763 (2000). Reviewer: Na Jisheng (Beijing) MSC: 32S65 PDFBibTeX XMLCite \textit{J. C. Rebelo}, Ann. Fac. Sci. Toulouse, Math. (6) 9, No. 4, 735--763 (2000; Zbl 1002.32025) Full Text: DOI Numdam EuDML