Articles
- Propriétés d'existence, de
régularité et d'unicité des applications entre
sous-variétés réelles d'espaces complexes,
Habilitation à diriger des recherches,
(University of Rouen, June 2003).
- Analyticité et
algébricité d'applications CR ou holomorphes, Ph. D. Thesis, (University of Rouen, June
1998).
[35] (with B. Lamel) Regularity of sections of CR vector bundles, Proc. Amer. Math. Soc. Ser. B, 11 , 15--22, (2024). pdf
[34] (with B. Lamel and G. Rond) Unique jet determination of CR maps into Nash sets, Adv. Math., 432, 109271, (2023). pdf
[33] (with B. Lamel) Two decades of finite jet determination, Complex Anal. Synerg., 8(4), Paper no. 19, (2022). pdf
[32] (with B. Lamel) The finite jet determination problem for CR maps of positive codimension into Nash manifolds, Proc. Lond. Math. Soc., 124(3), 737--771 (2022). pdf
[31] (with D. Zaitsev) Unique jet determination and extension of germs of CR maps into spheres, Trans. Amer. Math. Soc., 374 (3), 2149--2166, (2021). pdf
[30] (with B. Lamel) Regularity of CR mappings of abstract CR structures, Internat. J. Math., 31 (1) (2020), 2050009 (38 pages). pdf
[29] (with M. Bollauf and J. Boutros) New bounds for GLD lattices and codes, IEEE ITW, (2019), (5 pages). pdf
[28] (with B. Lamel) Formal versus analytic CR mappings, Ann. Polon. Math., 123 (1), 387-422 (2019). pdf
[27] (with B. Lamel) Convergence and divergence of formal CR mappings, Acta Mathematica, 220(2), 367-406, (2018). pdf
[26] (with B. Lamel) On the C∞ regularity of CR mappings of positive codimension, Adv. Math., 335, 696-734, (2018). pdf
[25] (with B. Lamel) Convergence of formal CR mappings into strongly pseudoconvex Cauchy-Riemann manifolds, Invent. Math., 210 (3), 963-985, (2017). pdf
[24] Holomorphic deformations of real-analytic CR maps and analytic regularity of CR mappings, J. Geom. Anal., 27 (3), 1920—1939, (2017). pdf
[23] On Artin approximation for formal CR mappings, Math. Res.
Letters, 23(1), 221–244, (2016). pdf
[22] Artin's approximation theorems and Cauchy-Riemann geometry, Methods Appl. Anal., 21(4), 481—502, (2014) pdf
[21] Algebraic approximation in CR geometry, J. Math. Pures Appl., 98, 72--88, (2012). pdf
[20] (with B. Lamel) Holomorphic versus algebraic equivalence for deformations of real-algebraic Cauchy-Riemann manifolds, Comm. Anal. Geom., 18(5), 891--926, (2010). pdf
[19] (with B. Lamel and D. Zaitsev) Lie group structures on automorphism groups of real-analytic CR manifolds, Amer. J. Math., 130(6), 1709--1726, (2008). pdf
[18] (with B. Lamel) Finite jet determination of CR mappings, Adv. Math.,
216(1), 153--177, (2007). pdf
[17] (with B. Lamel) Finite jet determination of local CR automorphisms through resolution of degeneracies,
Asian J. Math., 11(2), 201--216, (2007). pdf
[16] (with B. Lamel) Parametrization of local CR
automorphisms by finite jets and applications, J. Amer. Math. Soc., 20(2), 519--572, (2007). pdf
[15] (with B. Lamel) Remarks on the rank properties
of formal CR maps, Sci.
China Ser. A, 49(11), 1477--1490, (2006). pdf
[14] (with B. Lamel) On the stability group of CR
manifolds, C.
R. Math. Acad. Sci. Paris, t. 343, 169--172, (2006). pdf
[13] (with F. Meylan and D. Zaitsev) On some rigidity properties of
mappings
between CR-submanifolds in complex space,
Journées Equations aux
dérivées partielles, Ecole
polytechnique, (Forges-les-eaux, Juin
2003), Exposé XII, (20 pages). pdf
[12] Analytic regularity of CR maps into
spheres, Math. Res. Letters,
10(4), 447--457, (2003). pdf
[11] (with F. Meylan and D. Zaitsev) Holomorphic extension of smooth
CR-mappings between real-analytic and real-algebraic CR-manifolds, Asian J. Math., 7(4), 493--509, (2003). pdf
[10] (with F. Meylan and D. Zaitsev) Approximation and convergence of
formal CR-mappings, Internat.
Math. Res. Notices, 4, 211--242, (2003). pdf
[9] Convergence of formal embeddings
between real-analytic hypersurfaces in codimension one, J. Differential Geom.,
62(1), 163--173, (2002). pdf
[8] (with F. Meylan and D. Zaitsev) Approximation and convergence
properties of formal CR-maps, C.
R. Math. Acad. Sci. Paris,
t. 335, 671--676, (2002). pdf
[7] (with M.S. Baouendi and L.P. Rothschild) Reflection ideals and mappings
between generic submanifolds in complex space, J. Geom. Anal., 12(4), 543--580, (2002). pdf
[6] (with F. Meylan and D. Zaitsev) Analytic regularity of
CR-mappings, Math. Res.
Letters, 9(1), 73--93, (2002). pdf
[5] On the convergence of formal
mappings, Comm. Anal. Geom.,
10(1), 23--59, (2002). pdf
[4] Formal biholomorphic maps of real
analytic hypersurfaces, Math.
Res. Letters, 7(2-3), 343--359, (2000). pdf
[3] An algebraic characterization of
holomorphic nondegeneracy for real-algebraic hypersurfaces and its
application to CR-mappings, Math.
Z., 231(1), 189--202, (1999). pdf
[2] Germs of holomorphic mappings
between real-algebraic hypersurfaces, Ann. Inst. Fourier
(Grenoble), 48(4), 1025--1043, (1998). pdf
[1] Sur l'analyticité des
germes d'applications CR entre hypersurfaces analytiques
réelles, C.
R. Acad. Sci. Paris, t. 326, série I, 1283--1288, (1998). pdf