@article{PMIHES_1961__9__5_0, author = {Mumford, David}, title = {The topology of normal singularities of an algebraic surface and a criterion for simplicity}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {5--22}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {9}, year = {1961}, mrnumber = {27 #3643}, zbl = {0108.16801}, language = {en}, url = {http://www.numdam.org/item/PMIHES_1961__9__5_0/} }
TY - JOUR AU - Mumford, David TI - The topology of normal singularities of an algebraic surface and a criterion for simplicity JO - Publications Mathématiques de l'IHÉS PY - 1961 SP - 5 EP - 22 VL - 9 PB - Institut des Hautes Études Scientifiques UR - http://www.numdam.org/item/PMIHES_1961__9__5_0/ LA - en ID - PMIHES_1961__9__5_0 ER -
%0 Journal Article %A Mumford, David %T The topology of normal singularities of an algebraic surface and a criterion for simplicity %J Publications Mathématiques de l'IHÉS %D 1961 %P 5-22 %V 9 %I Institut des Hautes Études Scientifiques %U http://www.numdam.org/item/PMIHES_1961__9__5_0/ %G en %F PMIHES_1961__9__5_0
Mumford, David. The topology of normal singularities of an algebraic surface and a criterion for simplicity. Publications Mathématiques de l'IHÉS, Tome 9 (1961), pp. 5-22. http://www.numdam.org/item/PMIHES_1961__9__5_0/
[1] Analysis in non-compact Spaces, in Analytic Functions, Princenton, 1960. | MR | Zbl
and ,[2] Le Théorème de Riemann-Roch, Bull. Soc. Math. France, 86, 1958. | Numdam | MR | Zbl
and ,[3] Klassifikation der Singularitǎten Algebroiden Kurven, Abh. Math. Semin. Hamburg, 6, 1928. | JFM
,[4] Le Superficie Algebriche, Zanichelli, Bologna, 1949. | MR | Zbl
,[5] Theory of Groups, vol. 2, Chelsea, N.Y.
,[6] On Algebraic Familes of Positive Divisors, J. Math. Soc. Japan, 5, 1953. | MR | Zbl
,[7] Multiplicités de certaines composantes singulières, Ill. J. Math., 3, 1959. | MR | Zbl
,[8] Lehrbuch der Topologie, Teubner, 1934. | JFM | Zbl
and ,[9] Variationsrechnung im Grossen, Chelsea, 1951. | Zbl
and ,[10] The Classification of Immersions of Spheres in Euclidean Space, Annals Math., 69, 1959. | MR | Zbl
,[11] Forthcoming paper on the differential structures on cells and spheres.
,[12] Algebraic Theory of Numbers, Princeton, 1940. | JFM | MR | Zbl
,[13] Simplicial Spaces, Nuclei, and m-Groups, Proc. London Math. Soc., 45, 1939. | JFM | Zbl
,[14] On the Topology of Algebroid Singularities, Am. J. Math., 54, 1932. | JFM | Zbl
,[15] The Reduction of Singularities of an Algebraic Surface, Annals Math., 40, 1939. | JFM | MR | Zbl
,[16] Foundations of a General Theory of Birational Correspondences, Trans. Am. Math. Soc., 53, 1943. | MR | Zbl
,[17] Theory and Applications of Holomorphic Functions on an Algebraic Variety of Arbitrary Characteristic, Memoirs of the Am. Math. Soc., 1951. | Zbl
,[18] Introduction to the Problem of Minimal Models, J. Math. Soc. Japan, 1958. | Zbl
,[19] A Note on Fractional Intersection Multiplicities, Rend. Circolo Mat. Palermo, 1, 1958. | MR | Zbl
,[20] Topologie Dreidimensionaler Gefaserter Räume, Acta Math., 60, 1932. | JFM | Zbl
,[21] Arithmetic Genera of Normal Varieties in an Algebraic Family, Proc. Nat. Acad. Sci., 41, 1955. | MR | Zbl
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