@article{PMIHES_1969__36__195_0, author = {Lipman, Joseph}, title = {Rational singularities with applications to algebraic surfaces and unique factorization}, journal = {Publications Math\'ematiques de l'IH\'ES}, volume = {37}, year = {1969}, pages = {195-279}, mrnumber = {43 \#1986}, zbl = {0181.48903}, language = {en}, url = {http://dml.mathdoc.fr/item/PMIHES_1969__36__195_0} }
Lipman, Joseph. Rational singularities with applications to algebraic surfaces and unique factorization. Publications Mathématiques de l'IHÉS, Tome 37 (1969) pp. 195-279. http://gdmltest.u-ga.fr/item/PMIHES_1969__36__195_0/
[1] On the valuations centered in a local domain, Amer. J. Math., 78 (1956), 321-348. | MR 18,556b | Zbl 0074.26301
,[2] Resolution of singularities of arithmetical surfaces, pp. 111-152, in Arithmetical Algebraic Geometry, New York, Harper and Row, 1965 (edited by O. F. G. SCHILLING). | MR 34 #171 | Zbl 0147.20503
,[3] Some numerical criteria for contractability of curves on algebraic surfaces, Amer. J. Math., 84 (1962), 485-496. | MR 26 #3704 | Zbl 0105.14404
,[4] On isolated rational singularities of surfaces, Amer. J. Math., 88 (1966), 129-136. | MR 33 #7340 | Zbl 0142.18602
,[5] Algèbre commutative, chap. 5-6, Act. Sci. et Ind., n° 1308, Paris, Hermann, 1964. | Zbl 0205.34302
,[6] Über die Auflösung gewisser Singularitäten von holomorphen Abbildungen, Math. Annalen, 166 (1966), 76-102. | MR 34 #6789 | Zbl 0145.09402
,[7] Rationale Singularitäten komplexer Flächen, Inventiones Math., 4 (1968), 336-358. | MR 36 #5136 | Zbl 0219.14003
,[7 1/2] On isolated singularities of surfaces which do not affect the conditions of adjunction (Part I), Proc. Cambridge Phil. Soc., 30 (1934), 453-459. | JFM 60.0599.01 | Zbl 0010.17602
,[8] (cited [EGA...]), Éléments de Géométrie algébrique, Publ. Math. Inst. Hautes Études Sci., n°s 4, 8, ..., 32 (1960, ..., 1967). | Numdam
and ,[9] Desingularization of excellent surfaces, Advanced Science Seminar in Algebraic Geometry, Bowdoin College, Brunswick, Maine, 1967.
,[10] Forthcoming paper on desingularization of excellent surfaces, J. Math. Kyoto Univ.
,[11] Toward a numerical theory of ampleness, Ann. of Math., 84 (1966), 293-344. | MR 34 #5834 | Zbl 0146.17001
,[12] Beiträge zur Arithmetik kommutativer Integritätsbereiche, Math. Z., 41 (1936), 545-577. | JFM 62.1105.01
,[13] Curves over discrete valuation rings, Amer. J. Math., 90 (1968), 380-405. | MR 37 #6284 | Zbl 0194.22101
,[14] Some multiplicative properties of complete ideals, Trans. Amer. Math. Soc., 106 (1963), 210-221. | MR 26 #2466 | Zbl 0123.03601
and ,[14'] Asymptotic Factorization of Ideals, J. London Math. Soc., 38 (1963), 341-350. | MR 28 #3053 | Zbl 0142.28802
and ,[15] The topology of normal singularities of an algebraic surface, Publ. Math. Inst. Hautes Études Sci., n° 9, 1961. | Numdam | MR 27 #3643 | Zbl 0108.16801
,[16] Lectures on Curves on an Algebraic Surface, Ann. of Math. Studies, n° 59, Princeton, 1966. | MR 35 #187 | Zbl 0187.42701
,[17] Local Rings, Interscience, New York, 1962. | MR 27 #5790 | Zbl 0123.03402
,[18] Reducible and Multiple Algebraic Curves, Assen, Van Gorcum, 1961. | MR 31 #4787 | Zbl 0102.15905
,[19] Einige Beispiele faktorieller lokaler Ringe, Math. Annalen, 172 (1967), 124-134. | MR 37 #4066 | Zbl 0147.01602
,[20] Lectures on Minimal Models and Birational Transformations of Two-dimensional Schemes, Tata Institute of Fundamental Research, Lectures on Mathematics, n° 37, Bombay, 1966. | MR 36 #163 | Zbl 0164.51704
,[21] Polynomial ideals defined by infinitely near base points, Amer. J. Math., 60 (1937), 151-204. | JFM 64.0079.01 | Zbl 0018.20101
,[22] The reduction of the singularities of an algebraic surface, Ann. of Math., 40 (1939), 639-689. | JFM 65.1399.03 | MR 1,26d | Zbl 0021.25303
,[23] The concept of a simple point of an abstract algebraic variety, Trans. Amer. Math. Soc., 62 (1947), 1-52. | MR 9,99j | Zbl 0031.26101
,[24] Introduction to the Problem of Minimal Models in the Theory of Algebraic Surfaces, Publ. Math. Societ. of Japan, n° 4, Tokyo, 1958. | MR 20 #3872 | Zbl 0093.33904
,[25] Commutative Algebra, vol. 2, Princeton, Van Nostrand, 1960. | MR 22 #11006 | Zbl 0121.27801
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