Bibliography

Bibliography

BIBLIOGRAPHY ABHYANKAR, S. S.: On the ramification of algebraic functions. American Journal of Mathematica, vol. 77 (1955), pp. 575-592. ABHYANKAR, S...

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BIBLIOGRAPHY ABHYANKAR, S. S.: On the ramification of algebraic functions. American Journal of Mathematica, vol. 77 (1955), pp. 575-592. ABHYANKAR, S. S.: Local uniformization on algebraic surfaces over ground fields of characteristic p f 0. Annals of Mathematics, vol. 63 (1956), pp. 491-526. Corrections, ibid., vol. 78 (1963), pp. 202-203. S. S.: On the valuations centered in a local domain. American [31 ABHYANKAR, Journal of Mathematics, vol. 78 (1956), pp. 321-348. S.S.: “Ramification Theoretic Methods in Algebraic Geometry.” [41 ABHYANKAR, Princeton University Press, Princeton, New Jersey, 1959. S. S.: Reduction to multiplicity less than p in a p-cyclic extenr51 ANHYANKAR, sion of a two dimensional regular local ring ( p = characteristic of the residue field). Mathematische Annalen, vol. 154 (1964), pp. 28-55. ABHYANKAR, S. S.: Uniformization of Jungian local domains. Mathematische Annalen, vol. 159 (1965), pp. 1-43. Correction, ibid., vol. 160 (1965), pp. 319-320. S. S.: Uniformization in a p-cyclic extension of a two dimen[71 ABHYANKAR, sional regular local domain of residue field characteristic p. Festschrift zur Gedachtnisfeier fur Karl Weierstrass 1815-1 965, Wissenschaftliche Abhandlungen des Landes Nordrhein-Westfalen, Vol. 33 (1966), pp. 243-31 7, Westdeutscher Verlag, Koln und Opladen. ABHYANKAR, S. S.: Nonsplitting of valuations in extensions of two dimensional regular local domains. To be published in the Mathemntische Annalen, 1966. S. S.: An algorithm on polynomials in one indeterminate with [91 ABHYANKAR, coefficients in a two dimensional regular local domain. Annuli di Matematica pura ed applicata, Ser. 4, vol. 71 (1966), pp. 25-60. ABHYANKAR, S. S., and 0. ZARISKI: Splitting of valuations in extensions of local domains. Proceedings of the National Academy of Sciences, vol. 41 (1955), pp. 84-90. ALBANESE, G.: Transformazione birazionale di una superficie algebriche in un’altra priva di punti multipli. Rendiconti della Circolo Matematica de Palermo, vol. 48 (1924), pp. 321-332. ARTIN,M.: On Albanese’s proof of resolution of singularities of an algebraic surface. T o be published. COHEN,I. S.: On the structure and ideal theory of complete local rings. Transactions of the American Mathematical Society, vol. 57 (1946), pp. 54-106. A.: “klCments de GComCtrie AlgCbrique,” Chapter IV ~ 1 4 1 GROTHENDIECK, (second part). Institut des Hautes Etudes Scientifiques, Paris, 1965. H.: Resolution of singularities of an algebraic variety over a r151 HIRONAKA, field of characteristic zero. Annals of Mathematics, vol. 79 (1964), pp. 109-326. 285

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BIBLIOGRAPHY LEVI,B.: Resoluzione delle singolarita puntuali delle superficie algebriche. Atti Accad. Sci. Torino, vol. 33 (1897), pp. 66-86. MATSUMURA, H.: Geometric structure of the cohomology rings in abstract algebraic geometry. Memoirs of the College of Science, University of Kyoto, Series A , vol. 32 (1959), pp. 33-84. NACATA,M.: “Local Rings.” John Wiley and Sons, Inc. (Interscience Publishers), New York, 1962. RATLIFF, L. J.: On quasi-unmixed semi-local rings and the altitude formula. American Journal of Mathematics, vol. 87 (1965), pp. 278-284. SAKUMA, M.: Existence theorems of valuations centered in a local domain with preassigned dimension and rank. Journal of the Science of the Hiroshima Uniuersity, vol. 21 (1957), pp. 61-67. SATO,H.: On splitting of valuations in extensions of local domains. Journal of the Science of the Hiroshima University, vol. 21 (1957), pp. 69-75. SERRE, J. P.: Faiseaux aig6brique coherent. Annals of Mathematics, vol. 61 (1959, pp. 197-278. ZARISKI, 0.: Local uniformization on algebraic varieties. Annals of Mathematics, vol. 41 (1940), pp. 852-896. ZARISKI, 0.: Foundations of a general theory of birational correspondences. Transactions of the American Mathematical Society, vol. 53 (1943), pp. 490-542. ZARISKI,0.:Reduction of singularities of algebraic three-dimensional varieties. Annals of Mathematics, vol. 45 (1944), pp. 472-542. ZARISKI, 0.: A simple analytical proof of a fundamental property of birational transformations. Proceedings of the National Academy of Sciences, VOI. 35 (1949), pp. 62-66. ZARISKI, O., and P. SAMUEL: “Commutative Algebra,” vol. I. Van Nostrand Publishing Company, Princeton, New Jersey, 1958. ZARISKI, O., and P. SAMUEL: “Commutative Algebra,” vol. 11. Van Nostrand Publishing Company, Princeton, New Jersey, 1960.