@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}, publisher = {Soci\'et\'e math\'ematique de France}, number = {227}, year = {1995}, mrnumber = {1321650}, zbl = {0828.13003}, language = {fr}, url = {http://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 - http://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 http://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. http://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. | DOI | MR | Zbl
-[2] Homomorphisms of analytic local rings. J. Reine u. Ang. Math., 242, (1970), 26-60. | EuDML | MR | Zbl
, -[3] Artin's Theorem on the solutions of analytic equations in positive characteristic, Manus. Math. 15, (1975), 341-347. | DOI | EuDML | MR | Zbl
-[4] Homologie des algèbres commutatives Springer Verlag, Berlin Heidelberg New York, 1974. | MR | Zbl
-[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. | DOI | EuDML | MR | Zbl
-[7] Algebraic approximation of structures over local rings, Publ. Math. IHES, 36 (1969), 23-58. | Numdam | MR | Zbl
,[8] Algebraic structure of power series rings, Contemp. Math.13 (1982), 223-227. | MR | Zbl
-[9] Smoothing of a ring homomorphism along a section, Arithmetic and Geometry, Vol. II,(in honor of Shafarevitch), Birkhaüser 1983, 5-32. | MR | Zbl
and -[10] Exposé on a conjecture of Tougeron, Ann. Inst. Fourier, Grenoble, 27, 4 (1977), 9-27. | Numdam | MR | Zbl
,[11] On the composition of power series, Commutative algebra, Fairfax 1979, Lect. Notes in Pure and applied Math., No. 68, 159-172, Dekker, 1982. | MR | Zbl
-[12] Ultraproducts and Approximation in local rings I, Invent. Math. 51, (1979), 189-203. | MR | Zbl
- , , and ,[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. | MR | Zbl
-[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. | MR | Zbl
, -[17] Solutions d'équations à coefficients dans un anneau hensélien, Ann. Sci. ENS, 6 (1973), 553-604. | Numdam | MR | Zbl
-[18] Points de platitude d'un morphisme d'espaces analytiques complexes, Invent. math., 4, (1967), 118-138. | MR | Zbl
,[19] formal line bundle along exceptionnal loci, Algebraic geometry, Bombay, 1968, Oxford U.P. | MR | Zbl
-[20] Formal relations between analytic functions, Funk. Analiz Appl. 5 (1971), 64-65. | MR | Zbl
-[21] Rational points in henselian discrete valuation rings, Publ. Math. IHES 31, (1966). | Numdam | MR | Zbl
-[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] Die Approximationeigenschaft lokaler Ringe, Springer LNM 634, 1978. | MR | Zbl
, , , and -[26] Complexe cotangent, I. Springer LMN 239.
-[27] Some applications of the local uniformization theorem, Amer. J. Math. 76, (1954), 362-374. | MR | Zbl
-[28] On a question of Bass-Suslin concerning projective modules over polynomial rings, Invent. Math. 65 (1981), 319-323. | MR | Zbl
-[29] Topological equivalence between analytic and algebraic sets, Bull. Acad. Pol. Sci. (1984), 393-400. | MR | Zbl
-[30] Modèles minimaux des variétés abéliennes sur les corps locaux et globaux, Publ. Math. IHES. 21 (1964). | Numdam | MR | Zbl
-[31] A structure theorem on formally smooth morphisms in positive characteristic, J. of Algebra 100 (1986), 436-455. | MR | Zbl
et -[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. | MR | Zbl
-[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. | MR | Zbl
-[35] General Neron desingularisation, Nagoya Math. J. 100 (1985), 97-126. | DOI | MR | Zbl
-[36] General Neron desingularisation and approximation, Nagoya Math. J. 104 (1986), 85-115. | DOI | MR | Zbl
-[37] Letter to the Editor, General Neron desingularisation and approximation, Nagoya Math. J. 118 (1990), 45-53. | DOI | MR | Zbl
-[38] Projective modules over polynomial rings, Invent. Math. 36 (1976), 167-171. | DOI | EuDML | MR | Zbl
-[39] On the approximation property for excellent rings, Inv. Math. 88 (1987), 39-63. | DOI | EuDML | MR | Zbl
-[40] Some remarks on a theorem of M.J. Greenberg, in Proc. 1979 Kingston number theory Conf. Queen's Math. Papers (1980), 100-114. | MR | Zbl
-[41] L'inégalité de Lojasiewicz ultramétrique, CRAS Paris 296 (1983), 439-442. | MR | Zbl
-[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. | DOI | Zbl
, -[44] Courbes analytiques sur un germe d'espace analytique et applications, Ann. Inst. Fourier, Grenoble, 26, 2 (1976), 117-131. | DOI | EuDML | Numdam | MR | Zbl
,[45] Solutions d'un système d'équations analytiques réelles et applications, Ann. Inst. Fourier, Grenoble, 26, 3 (1976), 109-135. | DOI | EuDML | Numdam | MR | Zbl
,[46] Local uniformization of algebraic varieties, Annals of maths. 41, No. 4, 1940. | DOI | JFM | MR | Zbl
,