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Table des matières de ce fascicule | Article précédent | Article suivant Lipman, Joseph Rational singularities with applications to algebraic surfaces and unique factorization. Publications Mathématiques de l'IHÉS, 36 (1969), p. 195-279 Texte intégral djvu | pdf | Analyses MR 43 #1986 | Zbl 0181.48903 | 24 citations dans Numdam URL stable: http://www.numdam.org/item?id=PMIHES_1969__36__195_0 Bibliographie [2] S. S. ABHYANKAR, Resolution of singularities of arithmetical surfaces, pp. 111-152, in Arithmetical Algebraic Geometry, New York, Harper and Row, [3] M. ARTIN, Some numerical criteria for contractability of curves on algebraic surfaces, Amer. J. Math., 84 ( [4] M. ARTIN, On isolated rational singularities of surfaces, Amer. J. Math., 88 ( [5] N. BOURBAKI, Algèbre commutative, chap. 5-6, Act. Sci. et Ind., n° 1308, Paris, Hermann, [6] E. BRIESKORN, Über die Auflösung gewisser Singularitäten von holomorphen Abbildungen, Math. Annalen, 166 ( [7] E. BRIESKORN, Rationale Singularitäten komplexer Flächen, Inventiones Math., 4 ( [7 1/2] P. du VAL, On isolated singularities of surfaces which do not affect the conditions of adjunction (Part I), Proc. Cambridge Phil. Soc., 30 ( [8] (cited [EGA...]), A. GROTHENDIECK and J. DIEUDONNÉ, Éléments de Géométrie algébrique, Publ. Math. Inst. Hautes Études Sci., n°s 4, 8, ..., 32 ( Numdam [9] H. HIRONAKA, Desingularization of excellent surfaces, Advanced Science Seminar in Algebraic Geometry, Bowdoin College, Brunswick, Maine, [10] H. HIRONAKA, Forthcoming paper on desingularization of excellent surfaces, J. Math. Kyoto Univ. [11] S. KLEIMAN, Toward a numerical theory of ampleness, Ann. of Math., 84 ( [12] W. KRULL, Beiträge zur Arithmetik kommutativer Integritätsbereiche, Math. Z., 41 ( [13] S. LICHTENBAUM, Curves over discrete valuation rings, Amer. J. Math., 90 ( [14] H. T. MUHLY and M. SAKUMA, Some multiplicative properties of complete ideals, Trans. Amer. Math. Soc., 106 ( [14'] H. T. MUHLY and M. SAKUMA, Asymptotic Factorization of Ideals, J. London Math. Soc., 38 ( [15] D. MUMFORD, The topology of normal singularities of an algebraic surface, Publ. Math. Inst. Hautes Études Sci., n° 9, Numdam | MR 27 #3643 | Zbl 0108.16801 [16] D. MUMFORD, Lectures on Curves on an Algebraic Surface, Ann. of Math. Studies, n° 59, Princeton, [17] M. NAGATA, Local Rings, Interscience, New York, [18] F. OORT, Reducible and Multiple Algebraic Curves, Assen, Van Gorcum, [19] G. SCHEJA, Einige Beispiele faktorieller lokaler Ringe, Math. Annalen, 172 ( [20] I. R. SHAFAREVICH, Lectures on Minimal Models and Birational Transformations of Two-dimensional Schemes, Tata Institute of Fundamental Research, Lectures on Mathematics, n° 37, Bombay, [21] O. ZARISKI, Polynomial ideals defined by infinitely near base points, Amer. J. Math., 60 ( [22] O. ZARISKI, The reduction of the singularities of an algebraic surface, Ann. of Math., 40 ( [23] O. ZARISKI, The concept of a simple point of an abstract algebraic variety, Trans. Amer. Math. Soc., 62 ( [24] O. ZARISKI, Introduction to the Problem of Minimal Models in the Theory of Algebraic Surfaces, Publ. Math. Societ. of Japan, n° 4, Tokyo, [25] O. ZARISKI and P. SAMUEL, Commutative Algebra, vol. 2, Princeton, Van Nostrand, |
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