Les Huit Premiers Travaux de Pierre Liardet

[1] VENTADOUX, M.—LIARDET, P.: Transformations rationnelles laissant stables certains ensembles de nombres algébriques, C. R. Acad. Sci. Paris Sér. A-B 269 (1969), A181–A183.Search in Google Scholar

[2] LIARDET, P.: Sur les transformations polynomiales et rationnelles, in Séminaire de Théorie des Nombres, 1971–1972 (Univ. Bordeaux I, Talence), Exp. No. 29, Lab. Théorie des Nombres, Centre Nat. Recherche Sci., Talence, 1972, p. 20.Search in Google Scholar

[3] _____ : Sur une conjecture de W. Narkiewicz: C. R. Acad. Sci. Paris Sér. A-B 274 (1972), A1836–A1838.Search in Google Scholar

[4] KUBOTA, K. K.—LIARDET, P.: Réfutation d’une conjecture de W. Narkiewicz, C. R. Acad. Sci. Paris Sér. A-B 282 (1976), no. 22, A1261–A1264.Search in Google Scholar

[5] LIARDET, P.: Résultats de stabilité algébrique, in Séminaire de Théorie des Nombres, 1975–1976, (Univ. Bordeaux I, Talence), Exp. No. 24, Lab. Théorie des Nombres, Centre Nat. Recherche Sci., Talence, 1976, p. 6.Search in Google Scholar

[6] _____ : Stabilité algébrique et topologies hilbertiennes, in Séminaire Delange-Pisot-Poitou, 17e année (1975/76), Théorie des nombres: Fasc. 1, Exp. No. 8, Secrétariat Math., Paris, 1977, p. 9.Search in Google Scholar

[7] _____ : Sur une conjecture de Serge Lang, C. R. Acad. Sci. Paris Sér. A 279 (1974), 435–437.Search in Google Scholar

[8] _____ : Sur une conjecture de Serge Lang, in Journées Arithmétiques de Bordeaux (Conf., Univ. Bordeaux, Bordeaux, 1974), Soc. Math. France, Paris, 1975, 187–210. Astérisque, Nos. 24–25.Search in Google Scholar

[9] _____ : Transformations Rationnelles et Ensembles Algébriques, Thèse 3e cycle, Université de Provence, Faculté des Sciences 1970.Search in Google Scholar

[10] _____ : Première thèse: Sur la Stabilité Rationnelle ou Algébrique d’ensembles de Nombres Algébriques, Deuxième thèse; Difféomorphismes du Tore : Théorie Classique et Théorie Générique, Thèse d’État: Sciences mathématiques, Université d’Aix-Marseille II, Faculté des Sciences 1975.Search in Google Scholar

[11] ALLOUCHE, J.-P.—DAUDÉ, H.: Pierre Liardet (19432014), Gazette SMF 142, octobre 2014, 111–113. http://smf4.emath.fr/Publications/Gazette/2014/142/smf_gazette_142_111-113.pdfSearch in Google Scholar

[12] BARAT, G.—GRABNER, P.J.—HELLEKALEK, P.: Pierre Liardet (1943–2014) in memoriam; EMS Newsletter September 2015, issue 97, 52–58. https://www.ems-ph.org/journals/newsletter/pdf/2015-09-97.pdfSearch in Google Scholar

[13] ALIEV, I.—SMYTH, C.: Solving algebraic equations in roots of unity, Forum Math. 24 (2012), no. 3, 641–665.Search in Google Scholar

[14] BATEMAN, P. T.—DUQUETTE, A. L.: The analogue of the Pisot-Vijayaraghavan numbers in fields of formal power series, Illinois J. Math. 6 (1962), 594–606.Search in Google Scholar

[15] BÉRCZES, A.: Effective results for division points on curves in𝔾m2\font\msbm=MSBM10${\msbm G}_m^2 $, J. Théor. Nombres Bordeaux 27 (2015), no. 2, 405–437.Search in Google Scholar

[16] BÉRCZES, A.—GYŐRY, K.—EVERTSE, J.-H.—PONTREAU, C.: Effective results for points on certain subvarieties of tori, Math. Proc. Cambridge Philos. Soc. 147 (2009), no. 1, 69–94.Search in Google Scholar

[17] BOMBIERI, E.—MASSER, D.—ZANNIER, U.: Intersecting a curve with algebraic subgroups of multiplicative groups, Internat. Math. Res. Notices 20 (1999), 1119–1140.10.1155/S1073792899000628Search in Google Scholar

[18] _____ : Intersecting curves and algebraic subgroups: conjectures and more results, Trans. Amer. Math. Soc. 358 (2006), no. 5, 2247–2257.Search in Google Scholar

[19] BOMBIERI, E.—ZANNIER, U.: A note on heights in certain infinite extensions of ℚ, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 12 (2001), 5–14 (2002).Search in Google Scholar

[20] CHAMBERT-LOIR, A.: Relations de dépendance et intersections exceptionnelles, Séminaire Bourbaki Vol. 2010/2011. Exposés 1027–1042. Astérisque (2012), no. 348, Exp. No. 1032, viii, 149–188.Search in Google Scholar

[21] CHECCOLI, S.—WIDMER, M.: On the Northcott property and other properties related to polynomial mappings, Math. Proc. Cambridge Philos. Soc. 155 (2013), no. 1, 1–12.Search in Google Scholar

[22] DVORNICICH, R.—ZANNIER, U.: : Cyclotomic Diophantine problems (Hilbert irreducibility and invariant sets for polynomial maps), Duke Math. J. 139 (2007), no. 3, 527–554.Search in Google Scholar

[23] _____ : On the properties of Northcott and of Narkiewicz for fields of algebraic numbers, Funct. Approx. Comment. Math. 39 (2008), no. 1, 163–173.Search in Google Scholar

[24] EVERTSE, J.-H.—K. GYŐRY, K.: Unit Equation in Diophantine Number Theory, Cambridge Studies in Advanced Mathematics 146, Cambridge Univ. Press, 2015.10.1017/CBO9781316160749Search in Google Scholar

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[26] LANG, S.: Diophantine geometry, Interscience Tracts in Pure and Appl. Math. 11 (1962), pp. 170.Search in Google Scholar

[27] _____ : Report on diophantine approximations, Bull. Soc. Math. France 93 (1965), 177–192.10.24033/bsmf.1621Search in Google Scholar

[28] _____ : Division points on curves, Ann. Mat. Pura Appl. 70 (1965), no. 4, 229–234.Search in Google Scholar

[29] LAURENT, M.: Équations diophantiennes exponentielles, Invent. Math. 78 (1984), 299–327.10.1007/BF01388597Search in Google Scholar

[30] NARKIEWICZ, W.: Problem 415, Colloq. Math. 10 (1963), no. 1, p. 186.Search in Google Scholar

[31] NARKIEWICZ, W.: On polynomial transformations. II, Acta Arith. 8 (1962/1963), 11–19.10.4064/aa-8-1-11-19Search in Google Scholar

[32] PILA, J.: o-minimality and the André-Oort conjecture for ℂⁿ, Ann. of Math. (2) 173 (2011), no. 3, 1779–1840.Search in Google Scholar

[33] POTTMEYER, L.: Heights and totally p-adic numbers, Acta Arith. 171 (2015), no. 3, 277–291.Search in Google Scholar

[34] RAUZY, G.: Transformations rationnelles pour lesquelles l’ensemble des nombres de Pisot-Vijayaraghavan est stable, C. R. Acad. Sci. Paris Sér. A-B 268 (1969), A305–A307.Search in Google Scholar

[35] _____ : Ensembles de nombres algébriques et transformations rationnelles, in Colloque de Théorie des Nombres (Univ. Bordeaux, 1969), pp. 165–168. Bull. Soc. Math. France, Mém. Vol. 25, Soc. Math. France, Paris, 1971.10.24033/msmf.49Search in Google Scholar

[36] SCANLON, T.: A proof of the André-Oort conjecture via mathematical logic [after Pila, Wilkie and Zannier], Séminaire Bourbaki Vol. 2010/2011. Exposés 1027–1042. Astérisque 348 (2012), Exp. No. 1037, ix, 299–315,Search in Google Scholar

[37] TZERMIAS, P.: The Manin-Mumford conjecture: a brief survey, Bull. London Math. Soc. 32 (2000), no. 6, 641–652.Search in Google Scholar

[38] ULLMO, E.: Structures spéciales et problème de Pink Zilber, Panorama et Synthèses (CIRM), to appear.Search in Google Scholar

[39] WIDMER, M.: : On certain infinite extensions of the rationals with Northcott property, Monatsh. Math. 162 (2011), no. 3, 341–353.Search in Google Scholar

[40] ZANNIER, U.: Some Problems of Unlikely Intersections in Arithmetic and Geometry, Annals of Mathematics Studies Vol. 181, Princeton University Press, Princeton, NJ, 2012.10.23943/princeton/9780691153704.001.0001Search in Google Scholar