@incollection{AST_2000__264__3_0, author = {Lipshitz, Leonard}, title = {Rings of separated power series}, booktitle = {Rings of separated power series and quasi-affinoid geometry}, editor = {Lipshitz, Leonard and Robinson, Zachary}, series = {Ast\'erisque}, pages = {3--108}, publisher = {Soci\'et\'e math\'ematique de France}, number = {264}, year = {2000}, mrnumber = {1758887}, zbl = {0957.32011}, language = {en}, url = {http://www.numdam.org/item/AST_2000__264__3_0/} }
TY - CHAP AU - Lipshitz, Leonard TI - Rings of separated power series BT - Rings of separated power series and quasi-affinoid geometry AU - Collectif ED - Lipshitz, Leonard ED - Robinson, Zachary T3 - Astérisque PY - 2000 SP - 3 EP - 108 IS - 264 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_2000__264__3_0/ LA - en ID - AST_2000__264__3_0 ER -
%0 Book Section %A Lipshitz, Leonard %T Rings of separated power series %B Rings of separated power series and quasi-affinoid geometry %A Collectif %E Lipshitz, Leonard %E Robinson, Zachary %S Astérisque %D 2000 %P 3-108 %N 264 %I Société mathématique de France %U http://www.numdam.org/item/AST_2000__264__3_0/ %G en %F AST_2000__264__3_0
Lipshitz, Leonard. Rings of separated power series, dans Rings of separated power series and quasi-affinoid geometry, Astérisque, no. 264 (2000), pp. 3-108. http://www.numdam.org/item/AST_2000__264__3_0/
[1] Der allgemeine Kontinuitätssatz für -meromorphe Funktionen im Dizylinder. Math. Ann., 191 (1971) 196-234. | 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] Spectral Theory and Analytic Geometry Over Non-Archimedean Fields. Math. Surveys and Monographs, Vol. 33, A.M.S., Providence, 1990. | MR | Zbl
. -[4] Orthonormalbasen in der nichtarchimedischen Funktionentheorie. Manuscripta Math., 1 (1969) 35-57. | DOI | EuDML | MR | Zbl
. -[5] Eine bemerkenswerte Eigenschaft der formellen Fasern affinoider Räume. Math. Ann., 229 (1977) 25-45. | DOI | EuDML | MR | Zbl
. -[6] Non-Archimedean Analysis. Springer-Verlag, 1984. | DOI | MR | Zbl
, and . -[7] Éléments de Mathématiques, XV. Espaces Vectoriels Topologiques, Chapter 1. Hermann, 1953. | Zbl
. -[8] Algèbre Commutative III. Hermann, 1961. | Zbl
. -[9] -adic and real subanalytic sets. Ann. Math., 128, (1988) 79-138. | DOI | MR | Zbl
and . -[10] Géométrie Analytique Rigide et Applications. Birkhäuser, 1981. | MR | Zbl
and . -[11] Localisation formelle et Groupe de Picard. Ann. Inst. Fourier (Grenoble), 33 (1983) 19-82. | DOI | EuDML | Numdam | MR | Zbl
and . -[12] Local flattening in rigid analytic geometry. Preprint. | DOI | MR | Zbl
. -[13] Flattening and subanalytic sets in rigid analytic geometry. Preprint. | DOI | MR | Zbl
and . -[14] Über die Methode der diskret bewerteten Ringe in der nicht-Archimedischen Analysis. Invent. Math., 2 (1966) 87-133. Begründung. | DOI | EuDML | MR | Zbl
and . -[15] Subanalytic Sets, in Number Theory, Algebraic Geometry and Commutative Algebra in honor of Y. Akizuki, Kinokuniya, 1973, 453-493. | MR | Zbl
. -[16] Isolated points on fibers of affinoid varieties. J. reine angew. Math., 384 (1988) 208-220. | EuDML | MR | Zbl
. -[17] Rigid subanalytic sets. Amer. J. Math., 115 (1993) 77-108. | DOI | MR | Zbl
. -[18] Rigid subanalytic subsets of the line and the plane. Amer. J. Math., 118 (1996) 493-527. | DOI | MR | Zbl
and . -[19] Rigid subanalytic subsets of curves and surfaces. To appear in J. London Math. Soc. | MR | Zbl
and . -[20] One-dimensional fibers of rigid subanalytic sets. J. Symbolic Logic, 63 (1998) 83-88. | DOI | MR | Zbl
and . -[21] Rigid subanalytic sets II. Manuscript. | Zbl
and . -[22] Quasi-affinoid varieties. This volume.
and . -[23] Model completeness and subanalytic sets. This volume.
and . -[24] On definable subsets of -adic fields. J. Symbolic Logic, 41 (1976) 605-610. | DOI | MR | Zbl
. -[25] Commutative Ring Theory. Cambridge University Press, 1989. | MR | Zbl
. -[26] Formal power series rings over polynomial rings I. In Number Theory, Algebraic Geometry and Commutative Algebra. Kinokuniya, 1973, pp. 511-520. In honor of Y. Akizuki. | MR | Zbl
. -[27] Ein Beweis für einen Satz von Raynaud über flache Homomorphismen affinoider Algebren. - Schr. Math. Inst. Univ. Munster, 2 (1981). | MR | Zbl
. -[28] Local Rings. Interscience Publishers, 1962. | MR | Zbl
. -[29] Smooth points of -adic subanalytic sets. Manuscripta Math., 80 (1993) 45-71. | DOI | EuDML | MR | Zbl
. -[30] Flatness and smooth points of -adic subanalytic sets. Ann. Pure Appl. Logic, 88 (1997) 217-225. | DOI | MR | Zbl
. -[31] A rigid analytic approximation theorem. This volume.
. -[32] Rigid subanalytic sets. Comp. Math., 94 (1994) 269-295. | EuDML | Numdam | MR | Zbl
. -[33] Rigid subanalytic sets in the plane. J. Algebra, 170 (1994) 266-276. | DOI | MR | Zbl
. -[34] Uniformization of rigid subanalytic sets. Comp. Math., 94 (1994) 227-245. | EuDML | Numdam | MR | Zbl
. -[35] Blowing up in rigid analytic geometry. Bull. Belg. Math. Soc, 2 (1995) 399-417. | EuDML | MR | Zbl
. -[36] Closure of rigid semianalytic sets. J. Algebra, 198 (1997) 120-134. | DOI | MR | Zbl
. -[37] Rigid analytic flatificators. Preprint. | DOI | MR | Zbl
. -[38] Sur une note d'Ernst Kunz. C. R. Acad. Sci. Paris, Ser. A-B, 274 (1972) A714-A716. | MR | Zbl
. -[39] Rigid analytic spaces. Invent. Math., 12, (1971) 257-289. | DOI | EuDML | MR | Zbl
. -[40] Quantifier Elimination and Decision Procedures for Valued Fields. In Models and Sets, Aachen, 1983. Lecture Notes in Math., 1103 (1984) 419-472. Springer-Verlag. | MR | Zbl
. -[41] Commutative Algebra II. Springer-Verlag, 1975. | MR | Zbl
and . -