@incollection{AST_2000__264__151_0, author = {Robinson, Zachary}, title = {A rigid analytic approximation theorem}, booktitle = {Rings of separated power series and quasi-affinoid geometry}, editor = {Lipschitz, L\'eonard and Robinson, Zachary}, series = {Ast\'erisque}, pages = {151--168}, publisher = {Soci\'et\'e math\'ematique de France}, number = {264}, year = {2000}, mrnumber = {1758887}, language = {en}, url = {http://archive.numdam.org/item/AST_2000__264__151_0/} }
TY - CHAP AU - Robinson, Zachary TI - A rigid analytic approximation theorem BT - Rings of separated power series and quasi-affinoid geometry AU - Collectif ED - Lipschitz, Léonard ED - Robinson, Zachary T3 - Astérisque PY - 2000 SP - 151 EP - 168 IS - 264 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_2000__264__151_0/ LA - en ID - AST_2000__264__151_0 ER -
%0 Book Section %A Robinson, Zachary %T A rigid analytic approximation theorem %B Rings of separated power series and quasi-affinoid geometry %A Collectif %E Lipschitz, Léonard %E Robinson, Zachary %S Astérisque %D 2000 %P 151-168 %N 264 %I Société mathématique de France %U http://archive.numdam.org/item/AST_2000__264__151_0/ %G en %F AST_2000__264__151_0
Robinson, Zachary. A rigid analytic approximation theorem, in Rings of separated power series and quasi-affinoid geometry, Astérisque, no. 264 (2000), pp. 151-168. http://archive.numdam.org/item/AST_2000__264__151_0/
[1] On the solutions of analytic equations. Invent. Math., 5 (1968), 277-291. | DOI | EuDML | MR | Zbl
. -[2] Die Beschränktheit der Stückzahl der Fasern -analytischer Abbildungen. J. reine angew. Math., 416 (1991), 49-70. | EuDML | MR | Zbl
. -[3] Differential Rechnung in der Analytischen Geometrie. Springer Lecture Notes in Math, 38, 1967. | MR | Zbl
, , and . -[4] A rigid analytic version of M. Artin's theorem on analytic equations. Math. Ann., 255 (1981), 395-404. | DOI | EuDML | MR | Zbl
. -[5] Un théorème de prolongement pour des fonctions analytiques. Math. Ann., 252 (1980), 165-173. | DOI | EuDML | MR | Zbl
, and . -[6] Non-Archimedean Analysis. Springer- Verlag, 1984. | MR | Zbl
, and . -[7] Solutions d'équations à coefficients dans un anneau Hensélien. Ann. Scient. Éc. Norm. Sup., 4e série, 6 (1973) 553-604. | DOI | EuDML | Numdam | MR | Zbl
. -[8] Ausgezeichnete Ringe in der nicht-Archimedischen analytischen Geometrie. J. Reine Angew. Math., 234 (1969), 89-98. | EuDML | MR | Zbl
. -[9] On quasi-algebraic closure. Ann. Math., 55 (1952), 373-390. | DOI | MR | Zbl
. -[10] Isolated points on fibers of affinoid varieties. J. reine angew. Math., 384 (1988), 208-220. | EuDML | MR | Zbl
. -[11] Rings of separated power series. This volume.
and . -[12] Commutative Ring Theory. Cambridge University Press, 1989. | MR | Zbl
. -[13] Anneaux Locaux Henséliens. Springer Lecture Notes in Mathematics, 169, 1970. | MR | Zbl
. -[14] A new proof of D. Popescu's theorem on smoothing of ring homomorphisms. J. Amer. Math. Soc., 12 (1999), 381-444. | DOI | MR | Zbl
. -[15] A specialization theorem for -adic power series converging on the closed unit disc. J. Algebra, 73 (1981), 613-623. | DOI | MR | Zbl
. -