{"id":20,"date":"2022-05-27T08:29:43","date_gmt":"2022-05-27T06:29:43","guid":{"rendered":"https:\/\/perso.imj-prg.fr\/danielle-gondard\/?page_id=20"},"modified":"2025-09-16T15:10:27","modified_gmt":"2025-09-16T13:10:27","slug":"publications","status":"publish","type":"page","link":"https:\/\/perso.imj-prg.fr\/danielle-gondard\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n
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[33] Marshall’s problem revisited. En pr\u00e9paration.<\/p>\n<\/blockquote>\n\n\n\n

[32] Nombre de composantes connexes d’une vari\u00e9t\u00e9 r\u00e9elle et R-places, J. of Pure and Abstract Algebra 2020, https:\/\/doi.org\/10.1016\/j.jpaa.2020.106611 ; edited by Saugata Basu, Cordian Riener, Marie-Fran\u00e7oise Roy ; Volume 225, Issue 7 , July 2021.<\/p>\n\n\n\n

[31] The Space of Valuation Fans and Admissible P-Structures, in s\u00e9minaire \u00ab Structures Alg\u00e9briques Ordonn\u00e9es \u00bb, S\u00e9rie preprints Paris 7 Logique # 94, F\u00e9vrier 2021.<\/p>\n\n\n\n

[30] Note on Artin’s solution for Hilbert’s 17th problem and The Stengle Nullstellenstaz, manuscripts in preparation for \u00ab\u00a0Sources for Real Geometry\u00a0\u00bb, collective book in preparation.<\/p>\n\n\n\n

[29] On valuation fans and the real holomorphy ring, in S\u00e9minaire Structures Alg\u00e9briques Ordonn\u00e9es, S\u00e9rie preprints Paris 7 Logique # 91, Mai 2017.<\/p>\n\n\n\n

[28] R-places and related topic, in \u00ab Valuation Theory in Interaction \u00bb, Antonio Campillo (Valladolid, Spain), Franz-Viktor Kuhlmann (University of Saskatchewan, Canada) and Bernard Teissier (IMJ, Paris, France) editors, Series of Congress reports, E.M.S., 2014.<\/p>\n\n\n\n

[27] Real Holomorphy Rings and the Complete Real Spectrum, en collaboration avec Murray Marshall, Annales de la facult\u00e9 des sciences de Toulouse, Math\u00e9matiques, tomes XIX, n\u00b0 SI, p.57-74, 2010.<\/p>\n\n\n\n

[26] On some elementary theories, in S\u00e9minaire \u00a0\u00bbStructures Alg\u00e9briques Ordonn\u00e9es\u00a0\u00bb in S\u00e9minaire \u00a0\u00bbStructures Alg\u00e9briques Ordonn\u00e9es\u00a0\u00bb 2006.<\/p>\n\n\n\n

[25] Cours CENTRE EMILE BOREL, Octobre-Novembre 2005, \u00ab Valuation Fans in Real Fields \u00bb.<\/p>\n\n\n\n

[24] R-places : r\u00e9sultats et probl\u00e8mes ouverts, in S\u00e9minaire \u00a0\u00bbStructures Alg\u00e9briques Ordonn\u00e9es\u00a0\u00bb 2001-2002, Mai 2003.<\/p>\n\n\n\n

[23] Towards an abstract description of the space of real places, en collaboration avec M. Marshall, in Real Algebraic Geometry and Ordered Structures, C. Delzell et J. Madden eds., Contemporary Mathematics, vol. 253, AMS, 77-113, 2000.<\/p>\n\n\n\n

[22] Valuation fans and residually real-closed henselian fields, en collaboration avec E. Becker et R. Berr, Journal of Algebra 215, 574-602, 1999.<\/p>\n\n\n\n

[21] Notes on the space of real places of a formally real field, en collaboration avec E. Becker, in proceedings \u00ab\u00a0Real Analytic and Algebraic Geometry\u00a0\u00bb Trento (Sept.92) ; F. Broglia, M. Galbiati, A. Tognoli eds. ; W. de Gruyter, Berlin New-York, 21-46,1995.<\/p>\n\n\n\n

[20] Hilbert’s 17th problem for sums of 2nth powers, \u00e9crit en collaboration avec E. Becker et R. Berr (Dortmund) et F. Delon (Paris7), J. f\u00fcr die reine und ang. Mathematik , 450, 139-157, 1994. <\/p>\n\n\n\n

[19] Sur les ordres de niveau 2n et sur une extension du 17\u00e8me probl\u00e8me de Hilbert, in \u00a0\u00bbReal Algebraic Geometry\u00a0\u00bb , LNM #1524, Springer-Verlag, 257-266, 1992.<\/p>\n\n\n\n

[18] 17\u00e8me probl\u00e8me de Hilbert sur les corps cha\u00eene-clos, en collaboration avec Fran\u00e7oise Delon, Journal of Symbolic Logic, vol. 56, # 3, 853-861, 1991.<\/p>\n\n\n\n

[17] Axiomatisations simples des th\u00e9ories des corps de Rolle, Manuscripta Mathematica, 69, Springer-Verlag, 267-274, 1990.<\/p>\n\n\n\n

[16] 17\u00e8me probl\u00e8me de Hilbert et r\u00e9sultats r\u00e9cents, in \u00ab Structures Alg\u00e9briques Ordonn\u00e9es \u00bb, Vol. II, Publications Math\u00e9matiques de l’Universit\u00e9 Paris VII, Vol. 33, 21-49, 1990.<\/p>\n\n\n\n

[15] Th\u00e9orie des ordres de niveau sup\u00e9rieur et corps cha\u00eene-clos, in \u00ab Structures Alg\u00e9briques Ordonn\u00e9es \u00bb Vol. I , Publications Math\u00e9matiques de l’Universit\u00e9 Paris VII, Vol. 32, 37-63, 1990.<\/p>\n\n\n\n

[14] Chainable fields and real algebraic geometry, in \u00ab\u00a0Real Algebraic and Analytic Geometry\u00a0\u00bb, (Trento 1988) Lecture Notes in Math. # 1420, Springer-Verlag, 128-148, 1990.<\/p>\n\n\n\n

[13] Th\u00e9orie des mod\u00e8les de corps ordonnables et sommes de puissances 2n-\u00e8mes, Th\u00e8se de Doctorat d’Etat, Universit\u00e9 Paris VII, soutenue le 18-09-1989, Directeur de th\u00e8se et Pr\u00e9sident du Jury G. Sabbagh.<\/p>\n\n\n\n

[12] On rings admitting orderings and 2-primary chains of orderings of higher level, en collaboration avec E. Becker, Manuscripta Math. 65, 63-82, 1989.<\/p>\n\n\n\n

[11] Foundations of chain algebra and a Nullstellensatz, Actes de l’Association Fran\u00e7aise d’Alg\u00e8bre Ordonn\u00e9e, Le Mans, Novembre 1987.<\/p>\n\n\n\n

[10] Th\u00e9orie du premier ordre des corps cha\u00eenables et des corps cha\u00eene-clos, C. R. Acad. Sc. Paris t. 304 , # 16, 1987.<\/p>\n\n\n\n

[9] Th\u00e9orie des mod\u00e8les et fonctions d\u00e9finies positives sur les vari\u00e9t\u00e9s alg\u00e9briques r\u00e9elles, Contemporary Mathematics (AMS), vol 8, 119-139, 1982.<\/p>\n\n\n\n

[8] Le 17\u00e8me probl\u00e8me de Hilbert pour les matrices hermitiennes, manuscrit, D\u00e9partement de Math\u00e9matiques, Universit\u00e9 de Bretagne Occidentale, 1976.<\/p>\n\n\n\n

[7] Quelques Notions Fondamentales d’Alg\u00e8bre et d’Analyse, expos\u00e9s de formation continue des professeurs des lyc\u00e9es, Publication de l’IREM de Brest , 1976.<\/p>\n\n\n\n

[6] Fonctions d\u00e9finies positives sur les vari\u00e9t\u00e9s r\u00e9elles, \u00e9crit en collaboration avec P. Ribenboim, Bull. Sc. Math. Tome 98, 39-47, 1974.<\/p>\n\n\n\n

[5] Le 17\u00e8me probl\u00e8me de Hilbert pour les matrices, en collaboration avec P. Ribenboim, Bull. Sc. Math., Tome 98, 49-56, 1974.<\/p>\n\n\n\n

[4] Sur le 17\u00e8me probl\u00e8me de Hilbert , Th\u00e8se de 3\u00e8me cycle, Universit\u00e9 de Paris-sud Orsay, soutenue le 24-1-1973 ; Directeur : P. Samuel ; Pr\u00e9sident du jury : G Poitou.<\/p>\n\n\n\n

[3] Sur le 17\u00e8me probl\u00e8me de Hilbert dans R(V), C. R. Acad. Sc. Paris, Tome 276, 19-2-1973. <\/p>\n\n\n\n

[2] Sur le 17\u00e8me probl\u00e8me de Hilbert, C. R. Acad. Sc. Paris, tome 278, 20-8-1973.<\/p>\n\n\n\n

[1] Etude et applications de la th\u00e9orie des corps ordonnables, m\u00e9moire de D.E.A., Universit\u00e9 Paris VI ; Directeur : P. Ribenboim, (publi\u00e9 dans \u00ab Arithm\u00e9tique des corps \u00bb, Hermann, 1972)<\/p>\n","protected":false},"excerpt":{"rendered":"

[33] Marshall’s problem revisited. En pr\u00e9paration. [32] Nombre de composantes connexes d’une vari\u00e9t\u00e9 r\u00e9elle et R-places, J. of Pure and Abstract Algebra 2020, https:\/\/doi.org\/10.1016\/j.jpaa.2020.106611 ; edited by Saugata Basu, Cordian Riener, Marie-Fran\u00e7oise Roy ; Volume 225, Issue 7 , July 2021. [31] The Space of Valuation Fans and Admissible P-Structures, in s\u00e9minaire \u00ab Structures Alg\u00e9briques […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-20","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/perso.imj-prg.fr\/danielle-gondard\/wp-json\/wp\/v2\/pages\/20","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/perso.imj-prg.fr\/danielle-gondard\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/perso.imj-prg.fr\/danielle-gondard\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/danielle-gondard\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/danielle-gondard\/wp-json\/wp\/v2\/comments?post=20"}],"version-history":[{"count":11,"href":"https:\/\/perso.imj-prg.fr\/danielle-gondard\/wp-json\/wp\/v2\/pages\/20\/revisions"}],"predecessor-version":[{"id":141,"href":"https:\/\/perso.imj-prg.fr\/danielle-gondard\/wp-json\/wp\/v2\/pages\/20\/revisions\/141"}],"wp:attachment":[{"href":"https:\/\/perso.imj-prg.fr\/danielle-gondard\/wp-json\/wp\/v2\/media?parent=20"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}