@incollection{SB_1993-1994__36__259_0,
author = {Teissier, Bernard},
title = {R\'esultats r\'ecents sur l'approximation des morphismes en alg\`ebre commutative},
booktitle = {S\'eminaire Bourbaki : volume 1993/94, expos\'es 775-789},
series = {Ast\'erisque},
note = {talk:784},
pages = {259--282},
year = {1995},
publisher = {Soci\'et\'e math\'ematique de France},
number = {227},
mrnumber = {1321650},
zbl = {0828.13003},
language = {fr},
url = {https://www.numdam.org/item/SB_1993-1994__36__259_0/}
}
TY - CHAP AU - Teissier, Bernard TI - Résultats récents sur l'approximation des morphismes en algèbre commutative BT - Séminaire Bourbaki : volume 1993/94, exposés 775-789 AU - Collectif T3 - Astérisque N1 - talk:784 PY - 1995 SP - 259 EP - 282 IS - 227 PB - Société mathématique de France UR - https://www.numdam.org/item/SB_1993-1994__36__259_0/ LA - fr ID - SB_1993-1994__36__259_0 ER -
%0 Book Section %A Teissier, Bernard %T Résultats récents sur l'approximation des morphismes en algèbre commutative %B Séminaire Bourbaki : volume 1993/94, exposés 775-789 %A Collectif %S Astérisque %Z talk:784 %D 1995 %P 259-282 %N 227 %I Société mathématique de France %U https://www.numdam.org/item/SB_1993-1994__36__259_0/ %G fr %F SB_1993-1994__36__259_0
Teissier, Bernard. Résultats récents sur l'approximation des morphismes en algèbre commutative, dans Séminaire Bourbaki : volume 1993/94, exposés 775-789, Astérisque, no. 227 (1995), Exposé no. 784, 24 p.. https://www.numdam.org/item/SB_1993-1994__36__259_0/
[1] - Two notes on formal power series, Proc. A.M.S. 7 (1956), 903-905. | Zbl | MR | DOI
[2] , - Homomorphisms of analytic local rings. J. Reine u. Ang. Math., 242, (1970), 26-60. | Zbl | MR | EuDML
[3] - Artin's Theorem on the solutions of analytic equations in positive characteristic, Manus. Math. 15, (1975), 341-347. | Zbl | MR | EuDML | DOI
[4] - Homologie des algèbres commutatives Springer Verlag, Berlin Heidelberg New York, 1974. | Zbl | MR
[5] - Cinq exposés sur la désingularisation, Manuscrit, École Polytechnique Fédérale de Lausanne, Décembre 1991.
[6] - On the solutions of analytic equations, Inventiones Math. (1968), 277-291. | Zbl | MR | EuDML | DOI
[7] , Algebraic approximation of structures over local rings, Publ. Math. IHES, 36 (1969), 23-58. | Numdam | Zbl | MR
[8] - Algebraic structure of power series rings, Contemp. Math.13 (1982), 223-227. | Zbl | MR
[9] and - Smoothing of a ring homomorphism along a section, Arithmetic and Geometry, Vol. II,(in honor of Shafarevitch), Birkhaüser 1983, 5-32. | Zbl | MR
[10] , Exposé on a conjecture of Tougeron, Ann. Inst. Fourier, Grenoble, 27, 4 (1977), 9-27. | Numdam | Zbl | MR
[11] - On the composition of power series, Commutative algebra, Fairfax 1979, Lect. Notes in Pure and applied Math., No. 68, 159-172, Dekker, 1982. | Zbl | MR
[12] - , , and , Ultraproducts and Approximation in local rings I, Invent. Math. 51, (1979), 189-203. | Zbl | MR
[13] - Algèbre commutative, Chap. 3 , Masson, 1985.
[14] - Résultats de type Artin pour les systèmes d'équations holomorphes, Gazette des mathématiciens, 48, 77-95, S.M.F. 1991. | Zbl | MR
[15] , , , Approximation in compact Nash manifolds, Prépublication IRMAR, Rennes 1994. | MR
[16] , - Global approximation in dimension two, Journal of Algebra, Vol. 129, No.1, 1990. | Zbl | MR
[17] - Solutions d'équations à coefficients dans un anneau hensélien, Ann. Sci. ENS, 6 (1973), 553-604. | Numdam | Zbl | MR
[18] , Points de platitude d'un morphisme d'espaces analytiques complexes, Invent. math., 4, (1967), 118-138. | Zbl | MR
[19] - formal line bundle along exceptionnal loci, Algebraic geometry, Bombay, 1968, Oxford U.P. | Zbl | MR
[20] - Formal relations between analytic functions, Funk. Analiz Appl. 5 (1971), 64-65. | Zbl | MR
[21] - Rational points in henselian discrete valuation rings, Publ. Math. IHES 31, (1966). | Numdam | Zbl | MR
[22] , - EGA IV, seconde partie, § 7. Publ. Math. IHES 24 (1965). | MR
[23] , - EGA IV, quatrième partie, § 18. Publ. Math. IHES 32 (1965). | MR
[24] - Sur la fonction d'Artin d'un germe analytique, in Complex analysis, Wuppertal 1991. K. Diederich ed., Aspects of Math. E 17, F. Vieweg andSohn 1991. | MR
[25] , , , and - Die Approximationeigenschaft lokaler Ringe, Springer LNM 634, 1978. | Zbl | MR
[26] - Complexe cotangent, I. Springer LMN 239.
[27] - Some applications of the local uniformization theorem, Amer. J. Math. 76, (1954), 362-374. | Zbl | MR
[28] - On a question of Bass-Suslin concerning projective modules over polynomial rings, Invent. Math. 65 (1981), 319-323. | Zbl | MR
[29] - Topological equivalence between analytic and algebraic sets, Bull. Acad. Pol. Sci. (1984), 393-400. | Zbl | MR
[30] - Modèles minimaux des variétés abéliennes sur les corps locaux et globaux, Publ. Math. IHES. 21 (1964). | Numdam | Zbl | MR
[31] et - A structure theorem on formally smooth morphisms in positive characteristic, J. of Algebra 100 (1986), 436-455. | Zbl | MR
[32] - General Néron desingularization based on the idea of Popescu, Preprint. | MR | Zbl
[33] - Note on a theorem of M. Artin, Bull. Acad. Polonaise Sci., Ser. Math. 22 (1974), 1107-1109. | Zbl | MR
[34] - Global form of Néron's p-desingularization, in Week of algebraic Geometry, Bucharest, June 30-July 6, 1980. Teubner Texte, Band 40, Leipzig, 1981. | Zbl | MR
[35] - General Neron desingularisation, Nagoya Math. J. 100 (1985), 97-126. | Zbl | MR | DOI
[36] - General Neron desingularisation and approximation, Nagoya Math. J. 104 (1986), 85-115. | Zbl | MR | DOI
[37] - Letter to the Editor, General Neron desingularisation and approximation, Nagoya Math. J. 118 (1990), 45-53. | Zbl | MR | DOI
[38] - Projective modules over polynomial rings, Invent. Math. 36 (1976), 167-171. | Zbl | MR | EuDML | DOI
[39] - On the approximation property for excellent rings, Inv. Math. 88 (1987), 39-63. | Zbl | MR | EuDML | DOI
[40] - Some remarks on a theorem of M.J. Greenberg, in Proc. 1979 Kingston number theory Conf. Queen's Math. Papers (1980), 100-114. | Zbl | MR
[41] - L'inégalité de Lojasiewicz ultramétrique, CRAS Paris 296 (1983), 439-442. | Zbl | MR
[42] - Smoothing of ring homomorphisms, approximation theorems, and the Bass-Quillen conjecture. Prépublication, Toronto 1993 (version corrigée de Janvier 1994).
[43] , - Non-existence of the Artin function for henselian pairs, Prépublication. | Zbl | DOI
[44] , Courbes analytiques sur un germe d'espace analytique et applications, Ann. Inst. Fourier, Grenoble, 26, 2 (1976), 117-131. | Numdam | Zbl | MR | EuDML | DOI
[45] , Solutions d'un système d'équations analytiques réelles et applications, Ann. Inst. Fourier, Grenoble, 26, 3 (1976), 109-135. | Numdam | Zbl | MR | EuDML | DOI
[46] , Local uniformization of algebraic varieties, Annals of maths. 41, No. 4, 1940. | Zbl | MR | JFM | DOI







