Edit Profile (opens in new tab) Zariski, Oscar (b. 1899 d. 1986) Co-Author Distance Author ID: zariski.oscar Published as: Zariski, Oscar; Zariski, O.; Zariski, Oskar more...less External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Awards: Wolf Prize (1981) Documents Indexed: 139 Publications since 1924, including 19 Books Biographic References: 8 Publications Co-Authors: 7 Co-Authors with 17 Joint Publications 80 Co-Co-Authors all top 5 Co-Authors 116 single-authored 6 Samuel, Pierre 3 Muhly, Harry Townsend 3 Mumford, David Bryant 3 Teissier, Bernard 2 Abhyankar, Shreeram Shankar 2 Artin, Michael 2 Barber, Sherburne F. 2 Cohen, Irvin Sol 2 Kmety, Francois 2 Merle, Michel 2 Schilling, Otto Franz Georg 1 Falb, Peter L. 1 Hironaka, Heisuke 1 Lipman, Joseph 1 Mazur, Barry all top 5 Serials 42 American Journal of Mathematics 13 Annals of Mathematics. Second Series 12 Bulletin of the American Mathematical Society 8 Transactions of the American Mathematical Society 8 Proceedings of the National Academy of Sciences of the United States of America 3 Atti della Accademia Nazionale dei Lincei, Rendiconti, VI. Serie 3 Ergebnisse der Mathematik und ihrer Grenzgebiete 3 Mathematicians of Our Time 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Bulletin des Sciences Mathématiques. Deuxième Série 2 Illinois Journal of Mathematics 2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 2 Graduate Texts in Mathematics 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Memoirs of the American Mathematical Society 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Periodico di Matematiche. IV. Serie 1 Memoirs of the College of Science, University of Kyoto, Series A 1 Rendiconti del Circolo Matematico di Palermo 1 Rendiconti Di Matematica e Delle Sue Applicazioni, V. Serie 1 Lecture Notes in Mathematics 1 Princeton Mathematical Series 1 Publications of the Mathematical Society of Japan 1 University Lecture Series 1 Rendiconti del Seminario Matematico delle Facoltá di Scienze della R. Universitá di Roma, II. Serie 1 Memorie della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali. 6. Serie 1 Accademia dei Lincei, Rendiconti, V. Serie 1 Revista Matemática Hispano-Americana. II. Seria 1 Classics in Mathematics 1 Summa Brasiliensis Mathematicae all top 5 Fields 29 Algebraic geometry (14-XX) 10 Commutative algebra (13-XX) 3 Field theory and polynomials (12-XX) 2 Several complex variables and analytic spaces (32-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 106 Publications have been cited 4,099 times in 3,263 Documents Cited by ▼ Year ▼ Commutative algebra. Vol. II. Zbl 0121.27801 Zariski, Oscar; Samuel, Pierre 710 1960 Commutative algebra. Vol. 1. With the cooperation of I. S. Cohen. Zbl 0081.26501 Zariski, Oscar; Samuel, Pierre 486 1958 Commutative algebra. Vol. 1. Übersetzung aus dem Englischen von O.N. Vvedenskii, S.P. Demuskin und A.N. Tjurin. Zbl 0112.02902 Zariski, O.; Samuel, P. 239 1963 Commutative algebra. Vol. II. Reprint of the 1958-1960 Van Nostrand edition. Zbl 0322.13001 Zariski, Oscar; Samuel, Pierre 196 1976 Commutative Algebra. Vol. 1. With the cooperation of I. S. Cohen. 2nd ed. Zbl 0313.13001 Zariski, Oscar; Samuel, Pierre 189 1975 Commutative algebra. Vol. II. Übersetzung aus dem Englischen von E. S. Golod, S. P. Demuškin und A. N. Tyurin. Unter Redaktion von A. I. Uzkov. (Коммутативная алгтебра. Том II.) Zbl 0121.27901 Zariski, O.; Samuel, P. 178 1963 The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface. Zbl 0124.37001 Zariski, Oscar 150 1962 Studies in equisingularity. I: Equivalent singularities of plane algebroid curves. Zbl 0132.41601 Zariski, O. 129 1965 On the problem of existence of algebraic functions of two variables possessing a given branch curve. JFM 55.0806.01 Zariski, O. 119 1929 Algebraic surfaces. With appendices by S.S. Abhyankar, J. Lipman, and D. Mumford. 2nd suplemented ed. Zbl 0219.14020 Zariski, O. 84 1971 Some open questions in the theory of singularities. Zbl 0236.14002 Zariski, Oscar 70 1971 Studies in equisingularity. II: Equisingularity in codimension 1 (and characteristic zero). Zbl 0146.42502 Zariski, O. 63 1965 Studies in equisingularity. III: Saturation of local rings and equisingularity. Zbl 0189.21405 Zariski, O. 56 1968 Local uniformization on algebraic varieties. JFM 66.1327.02 Zariski, O. 56 1940 The reduction of the singularities of an algebraic surface. JFM 65.1399.03 Zariski, O. 52 1939 On the purity of the branch locus of algebraic functions. Zbl 0087.35703 Zariski, Oscar 51 1958 Le problème des modules pour les branches planes. Cours donné au Centre de Mathématiques de l’École Polytechnique. Nouvelle éd. revue par l’auteur. Rédigé par François Kmety et Michel Merle. Avec un appendice de Bernard Teissier. Zbl 0592.14010 Zariski, Oscar 48 1986 Le problème des modules pour les branches planes. Rédigé par François Kmety et Michel Merle. Avec un appendice de Bernard Teissier. Zbl 0317.14004 Zariski, Oscar 48 1973 Interprétations algébrico-géométriques du quatorzième problème de Hilbert. Zbl 0056.39602 Zariski, O. 46 1954 Introduction to the problem of minimal models in the theory of algebraic surfaces. Zbl 0093.33904 Zariski, Oscar 45 1958 On the topology of algebroid singularities. JFM 58.0614.02 Zariski, O. 40 1932 The moduli problem for plane branches. With an appendix by Bernard Teissier. Transl. from the French by Ben Lichtin. Zbl 1107.14021 Zariski, Oscar 39 2006 The concept of a simple point of an abstract algebraic variety. Zbl 0031.26101 Zariski, Oscar 38 1947 The reduction of the singularities of an algebraic surface. Zbl 0021.25303 Zariski, Oscar 36 1939 Characterization of plane algebroid curves whose module of differentials has maxim torsion. Zbl 0144.20201 Zariski, O. 34 1966 Foundations of a general theory of birational correspondences. Zbl 0061.33004 Zariski, Oscar 34 1943 Polynomial ideals defined by infinitely near base points. Zbl 0018.20101 Zariski, Oscar 33 1938 The compactness of the Riemann manifold of an abstract field of algebraic functions. Zbl 0063.08390 Zariski, Oscar 33 1944 Algebraic surfaces. Zbl 0010.37103 Zariski, O. 32 1935 On Castelnuovo’s criterion of rationality P\(_a\)=P\(_2\)=0 of an algebraic surface. Zbl 0085.36203 Zariski, Oscar 31 1958 Reduction of the singularities of algebraic three dimensional varieties. Zbl 0063.08361 Zariski, Oscar 31 1944 Local uniformization on algebraic varieties. Zbl 0025.21601 Zariski, Oscar 27 1940 On the irregularity of cyclic multiple planes. Zbl 0001.40301 Zariski, Oscar 27 1931 General theory of saturation and of saturated local rings. II: Saturated local rings of dimension 1. Zbl 0228.13007 Zariski, Oscar 25 1971 Dimension-theoretic characterization of maximal irreducible algebraic systems of plane nodal curves of a given order n and with a given number d of nodes. Zbl 0516.14023 Zariski, Oscar 24 1982 On the topology of algebroid singularities. Zbl 0004.36902 Zariski, Oscar 24 1932 Algebraic surfaces. JFM 61.0704.01 Zariski, O. 24 1935 Complete linear systems on normal varieties and a generalization of a lemma of Enriques-Severi. Zbl 0047.14803 Zariski, Oscar 24 1952 A simplified proof for the resolution of singularities of an algebraic surface. Zbl 0063.08389 Zariski, Oscar 23 1942 The topological discriminant group of a Riemann surface of genus p. Zbl 0016.32502 Zariski, Oscar 22 1937 Polynomial ideals defined by infinitely near base points. JFM 64.0079.01 Zariski, O. 22 1938 A fundamental lemma from the theory of holomorphic functions on an algebraic variety. Zbl 0039.03301 Zariski, Oscar 22 1949 The problem of minimal models in the theory of algebraic surfaces. Zbl 0085.36202 Zariski, Oscar 21 1958 A theorem on the Poincaré group of an algebraic hypersurface. Zbl 0016.04102 Zariski, Oscar 20 1937 The theorem of Bertini on variable singular points of a linear system of varieties. Zbl 0061.33101 Zariski, Oscar 20 1944 Pencils on an algebraic variety and a new proof of a theorem of Bertini. Zbl 0025.21502 Zariski, Oscar 19 1941 Theory and applications of holomorpic functions on algebraic varieties over arbitrary ground fields. Zbl 0045.24001 Zariski, Oscar 18 1951 Analytical irreducibility of normal varieties. Zbl 0037.22701 Zariski, Oscar 17 1948 On the Poincaré group of rational plane curves. Zbl 0014.32801 Zariski, Oscar 16 1936 An introduction to the theory of algebraic surfaces. Zbl 0177.49001 Zariski, O. 15 1969 The topological discriminant group of a Riemann surface of genus \(p\). JFM 63.0338.02 Zariski, O. 15 1937 On the linear connection index of the algebraic surfaces \(z^n=f(x,y)\). JFM 55.0806.02 Zariski, O. 15 1929 Contributions to the problem of equisingularity. Zbl 0204.54503 Zariski, O. 15 1970 A new proof of Hilbert’s Nullstellensatz. Zbl 0032.26001 Zariski, Oscar 13 1947 Foundations of a general theory of equisingularity on r-dimensional algebroid and algebraic varieties, of embedding dimension r+1. Zbl 0417.14008 Zariski, Oscar 13 1979 On the Poincaré group of rational plane curves. JFM 62.0758.02 Zariski, O. 12 1936 Pencils on an algebraic variety and a new proof of a theorem of Bertini. JFM 67.0618.01 Zariski, O. 12 1941 Exceptional singularities of an algebroid surface and their reduction. Zbl 0168.18903 Zariski, O. 11 1967 On a theorem of Eddington. JFM 58.0105.02 Zariski, O. 11 1932 General theory of saturation and of saturated local rings. III: Saturation in arbitrary dimension and, in particular, saturation of algebroid hypersurfaces. Zbl 0306.13009 Zariski, Oscar 11 1975 A theorem on the Poincaré group of an algebraic hypersurface. JFM 63.0621.03 Zariski, O. 10 1937 Some results in the arithmetic theory of algebraic varieties. JFM 65.0118.02 Zariski, O. 10 1939 On equimultiple subvarieties of algebroid hypersurfaces. Zbl 0304.14008 Zariski, Oscar 9 1975 Some results in the arithmetic theory of algebraic varieties. Zbl 0020.39101 Zariski, Oscar 8 1939 Scientific report on the Second Summer Institute, Several Complex Variables. Part III: Algebraic sheaf theory. Zbl 0074.15703 Zariski, Oskar 8 1956 Sur la normalité analytique des variétés normales. Zbl 0044.26601 Zariski, Oscar 8 1950 General theory of saturation and of saturated local rings. I: Saturation of complete local domains of dimension one having arbitrary coefficient fields (of characteristic zero). Zbl 0226.13013 Zariski, Oscar 8 1971 On the irregularity of cyclic multiple planes. JFM 57.0440.03 Zariski, O. 7 1931 Algebraic varieties over ground fields of characteristic zero. Zbl 0022.30501 Zariski, Oscar 6 1940 Normal varieties and birational correspondences. Zbl 0063.08388 Zariski, Oscar 6 1942 A simple analytical proof of a fundamental property of birational transformations. Zbl 0037.16401 Zariski, Oscar 6 1949 Collected papers. Vol. III: Topology of curves and surfaces, and special topics in the theory of algebraic varieties. Edited and with an introduction by M. Artin and B. Mazur. Zbl 0446.14001 Zariski, Oscar 5 1978 Algebraic surfaces: with appendices by S. S. Abhyankar, J. Lipman and D. Mumford. Reprint of the 2nd suppl. ed. 1971. Zbl 0845.14021 Zariski, Oscar 5 1995 A fundamental inequality in the theory of extensions of valuations. Zbl 0079.05601 Cohen, I. S.; Zariski, Oscar 5 1957 Collected papers. Volume II: Holomorphic functions and linear systems. Ed. by M. Artin and D. Mumford. Zbl 0564.14001 Zariski, Oscar 4 1973 Sull’ impossibilità di risolvere parametricamente per radicali un’equazione algebrica \(f (x,y) = 0\) di genere \(p > 6\) a moduli generali. JFM 52.0652.05 Zariski, O. 4 1926 Generalized semi-local rings. Zbl 0063.08392 Zariski, Oscar 4 1946 Generalized weight properties of the resultant of \(n + 1\) polynomials in \(n\) indeterminates. JFM 63.0047.01 Zariski, O. 4 1937 The fundamental ideas of abstract algebraic geometry. Zbl 0049.22701 Zariski, Oscar 4 1952 Applicazioni geometriche della teoria delle valutazioni. Zbl 0055.38801 Zariski, Oscar 4 1954 Generalized weight properties of the resultant of \(n+1\) polynomials in \(n\) indeterminates. Zbl 0016.10001 Zariski, Oscar 3 1937 The elusive concept of equisingularity and related questions. Zbl 0422.14006 Zariski, Oscar 3 1977 Collected papers. Vol. I: Foundations of algebraic geometry and resolution of singularities. Edited by H. Hironaka and D. Mumford. Zbl 0234.14001 Zariski, Oscar 3 1972 Addendum to my paper ”Foundations of a general theory of equisingularity on r-dimensional algebroid and algebraic varieties, of embedding dimension r+1”. Zbl 0455.14004 Zariski, Oscar 2 1980 Reducible exceptional curves of the first kind. Zbl 0010.37104 Barber, S. F.; Zariski, Oscar 2 1935 The connectedness theorem for birational transformations. Zbl 0087.35601 Zariski, Oscar 2 1957 Reducible exceptional curves of the first kind. JFM 61.0707.01 Barber, S. F.; Zariski, O. 2 1935 On the non-existence of curves of order 8 with 16 cusps. JFM 57.0823.03 Zariski, O. 2 1931 On a theorem of Severi. JFM 54.0698.01 Zariski, O. 2 1928 Hilbert’s characteristic function and the arithmetic genus of an algebraic variety. Zbl 0041.08403 Muhly, H. T.; Zariski, O. 2 1950 Splitting of valuations in extensions of local domains. I. Zbl 0064.27204 Abhyankar, Shreeram; Zariski, Oscar 2 1955 On the problem of irreducibility of the algebraic system of irreducible plane curves of a given order and having a given number of nodes. Zbl 0597.14022 Zariski, Oscar 1 1983 A topological proof of the Riemann-Roch theorem on an algebraic curve. Zbl 0013.07602 Zariski, Oscar 1 1936 On the non-existence of curves of order 8 with 16 cusps. Zbl 0001.22604 Zariski, Oscar 1 1931 The resolution of singularities of an algebraic curve. Zbl 0020.16001 Muhly, H. T.; Zariski, O. 1 1939 On differentials in function fields. Zbl 0100.03402 Zariski, Oscar; Falb, Peter 1 1961 On the superabundance of the complete linear systems \(| n D |\) (\(n\) large) for an arbitrary divisor \(D\) on an algebraic surface. Zbl 0100.16702 Zariski, Oscar 1 1962 La risoluzione delle singolarita delle superficie algebriche immerse. I, II. Zbl 0105.14301 Zariski, O. 1 1961 Sopra una classe di equazioni algebriche contenenti linearmente un parametro e risolubili per radicali. JFM 52.0653.01 Zariski, O. 1 1926 On algebraic equations containing linearly a parameter and solvable by radicals. (Sulle equazioni algebriche contenenti linearmente un parametro e risolubili per radicali.) JFM 50.0048.02 Zariski, O. 1 1924 The moduli problem for plane branches. With an appendix by Bernard Teissier. Transl. from the French by Ben Lichtin. Zbl 1107.14021 Zariski, Oscar 39 2006 Algebraic surfaces: with appendices by S. S. Abhyankar, J. Lipman and D. Mumford. Reprint of the 2nd suppl. ed. 1971. Zbl 0845.14021 Zariski, Oscar 5 1995 Le problème des modules pour les branches planes. Cours donné au Centre de Mathématiques de l’École Polytechnique. Nouvelle éd. revue par l’auteur. Rédigé par François Kmety et Michel Merle. Avec un appendice de Bernard Teissier. Zbl 0592.14010 Zariski, Oscar 48 1986 On the problem of irreducibility of the algebraic system of irreducible plane curves of a given order and having a given number of nodes. Zbl 0597.14022 Zariski, Oscar 1 1983 Dimension-theoretic characterization of maximal irreducible algebraic systems of plane nodal curves of a given order n and with a given number d of nodes. Zbl 0516.14023 Zariski, Oscar 24 1982 Addendum to my paper ”Foundations of a general theory of equisingularity on r-dimensional algebroid and algebraic varieties, of embedding dimension r+1”. Zbl 0455.14004 Zariski, Oscar 2 1980 Foundations of a general theory of equisingularity on r-dimensional algebroid and algebraic varieties, of embedding dimension r+1. Zbl 0417.14008 Zariski, Oscar 13 1979 Collected papers. Vol. III: Topology of curves and surfaces, and special topics in the theory of algebraic varieties. Edited and with an introduction by M. Artin and B. Mazur. Zbl 0446.14001 Zariski, Oscar 5 1978 The elusive concept of equisingularity and related questions. Zbl 0422.14006 Zariski, Oscar 3 1977 Commutative algebra. Vol. II. Reprint of the 1958-1960 Van Nostrand edition. Zbl 0322.13001 Zariski, Oscar; Samuel, Pierre 196 1976 Commutative Algebra. Vol. 1. With the cooperation of I. S. Cohen. 2nd ed. Zbl 0313.13001 Zariski, Oscar; Samuel, Pierre 189 1975 General theory of saturation and of saturated local rings. III: Saturation in arbitrary dimension and, in particular, saturation of algebroid hypersurfaces. Zbl 0306.13009 Zariski, Oscar 11 1975 On equimultiple subvarieties of algebroid hypersurfaces. Zbl 0304.14008 Zariski, Oscar 9 1975 Le problème des modules pour les branches planes. Rédigé par François Kmety et Michel Merle. Avec un appendice de Bernard Teissier. Zbl 0317.14004 Zariski, Oscar 48 1973 Collected papers. Volume II: Holomorphic functions and linear systems. Ed. by M. Artin and D. Mumford. Zbl 0564.14001 Zariski, Oscar 4 1973 Collected papers. Vol. I: Foundations of algebraic geometry and resolution of singularities. Edited by H. Hironaka and D. Mumford. Zbl 0234.14001 Zariski, Oscar 3 1972 Some open questions in the theory of singularities. Zbl 0241.14003 Zariski, Oscar 1 1972 Algebraic surfaces. With appendices by S.S. Abhyankar, J. Lipman, and D. Mumford. 2nd suplemented ed. Zbl 0219.14020 Zariski, O. 84 1971 Some open questions in the theory of singularities. Zbl 0236.14002 Zariski, Oscar 70 1971 General theory of saturation and of saturated local rings. II: Saturated local rings of dimension 1. Zbl 0228.13007 Zariski, Oscar 25 1971 General theory of saturation and of saturated local rings. I: Saturation of complete local domains of dimension one having arbitrary coefficient fields (of characteristic zero). Zbl 0226.13013 Zariski, Oscar 8 1971 Contributions to the problem of equisingularity. Zbl 0204.54503 Zariski, O. 15 1970 An introduction to the theory of algebraic surfaces. Zbl 0177.49001 Zariski, O. 15 1969 Studies in equisingularity. III: Saturation of local rings and equisingularity. Zbl 0189.21405 Zariski, O. 56 1968 Exceptional singularities of an algebroid surface and their reduction. Zbl 0168.18903 Zariski, O. 11 1967 Characterization of plane algebroid curves whose module of differentials has maxim torsion. Zbl 0144.20201 Zariski, O. 34 1966 A new operation (’saturation’) on local rings and applications to classification of singularities. Zbl 0154.20805 Zariski, O. 1 1966 Studies in equisingularity. I: Equivalent singularities of plane algebroid curves. Zbl 0132.41601 Zariski, O. 129 1965 Studies in equisingularity. II: Equisingularity in codimension 1 (and characteristic zero). Zbl 0146.42502 Zariski, O. 63 1965 Commutative algebra. Vol. 1. Übersetzung aus dem Englischen von O.N. Vvedenskii, S.P. Demuskin und A.N. Tjurin. Zbl 0112.02902 Zariski, O.; Samuel, P. 239 1963 Commutative algebra. Vol. II. Übersetzung aus dem Englischen von E. S. Golod, S. P. Demuškin und A. N. Tyurin. Unter Redaktion von A. I. Uzkov. (Коммутативная алгтебра. Том II.) Zbl 0121.27901 Zariski, O.; Samuel, P. 178 1963 The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface. Zbl 0124.37001 Zariski, Oscar 150 1962 On the superabundance of the complete linear systems \(| n D |\) (\(n\) large) for an arbitrary divisor \(D\) on an algebraic surface. Zbl 0100.16702 Zariski, Oscar 1 1962 On differentials in function fields. Zbl 0100.03402 Zariski, Oscar; Falb, Peter 1 1961 La risoluzione delle singolarita delle superficie algebriche immerse. I, II. Zbl 0105.14301 Zariski, O. 1 1961 Commutative algebra. Vol. II. Zbl 0121.27801 Zariski, Oscar; Samuel, Pierre 710 1960 Commutative algebra. Vol. 1. With the cooperation of I. S. Cohen. Zbl 0081.26501 Zariski, Oscar; Samuel, Pierre 486 1958 On the purity of the branch locus of algebraic functions. Zbl 0087.35703 Zariski, Oscar 51 1958 Introduction to the problem of minimal models in the theory of algebraic surfaces. Zbl 0093.33904 Zariski, Oscar 45 1958 On Castelnuovo’s criterion of rationality P\(_a\)=P\(_2\)=0 of an algebraic surface. Zbl 0085.36203 Zariski, Oscar 31 1958 The problem of minimal models in the theory of algebraic surfaces. Zbl 0085.36202 Zariski, Oscar 21 1958 A fundamental inequality in the theory of extensions of valuations. Zbl 0079.05601 Cohen, I. S.; Zariski, Oscar 5 1957 The connectedness theorem for birational transformations. Zbl 0087.35601 Zariski, Oscar 2 1957 Scientific report on the Second Summer Institute, Several Complex Variables. Part III: Algebraic sheaf theory. Zbl 0074.15703 Zariski, Oskar 8 1956 Splitting of valuations in extensions of local domains. I. Zbl 0064.27204 Abhyankar, Shreeram; Zariski, Oscar 2 1955 Interprétations algébrico-géométriques du quatorzième problème de Hilbert. Zbl 0056.39602 Zariski, O. 46 1954 Applicazioni geometriche della teoria delle valutazioni. Zbl 0055.38801 Zariski, Oscar 4 1954 Le problème de la réduction des singularités d’une variété algébrique. Zbl 0055.38802 Zariski, O. 1 1954 Complete linear systems on normal varieties and a generalization of a lemma of Enriques-Severi. Zbl 0047.14803 Zariski, Oscar 24 1952 The fundamental ideas of abstract algebraic geometry. Zbl 0049.22701 Zariski, Oscar 4 1952 Theory and applications of holomorpic functions on algebraic varieties over arbitrary ground fields. Zbl 0045.24001 Zariski, Oscar 18 1951 Sur la normalité analytique des variétés normales. Zbl 0044.26601 Zariski, Oscar 8 1950 Hilbert’s characteristic function and the arithmetic genus of an algebraic variety. Zbl 0041.08403 Muhly, H. T.; Zariski, O. 2 1950 A fundamental lemma from the theory of holomorphic functions on an algebraic variety. Zbl 0039.03301 Zariski, Oscar 22 1949 A simple analytical proof of a fundamental property of birational transformations. Zbl 0037.16401 Zariski, Oscar 6 1949 Analytical irreducibility of normal varieties. Zbl 0037.22701 Zariski, Oscar 17 1948 The concept of a simple point of an abstract algebraic variety. Zbl 0031.26101 Zariski, Oscar 38 1947 A new proof of Hilbert’s Nullstellensatz. Zbl 0032.26001 Zariski, Oscar 13 1947 Generalized semi-local rings. Zbl 0063.08392 Zariski, Oscar 4 1946 The compactness of the Riemann manifold of an abstract field of algebraic functions. Zbl 0063.08390 Zariski, Oscar 33 1944 Reduction of the singularities of algebraic three dimensional varieties. Zbl 0063.08361 Zariski, Oscar 31 1944 The theorem of Bertini on variable singular points of a linear system of varieties. Zbl 0061.33101 Zariski, Oscar 20 1944 Foundations of a general theory of birational correspondences. Zbl 0061.33004 Zariski, Oscar 34 1943 A simplified proof for the resolution of singularities of an algebraic surface. Zbl 0063.08389 Zariski, Oscar 23 1942 Normal varieties and birational correspondences. Zbl 0063.08388 Zariski, Oscar 6 1942 Pencils on an algebraic variety and a new proof of a theorem of Bertini. Zbl 0025.21502 Zariski, Oscar 19 1941 Pencils on an algebraic variety and a new proof of a theorem of Bertini. JFM 67.0618.01 Zariski, O. 12 1941 Local uniformization on algebraic varieties. JFM 66.1327.02 Zariski, O. 56 1940 Local uniformization on algebraic varieties. Zbl 0025.21601 Zariski, Oscar 27 1940 Algebraic varieties over ground fields of characteristic zero. Zbl 0022.30501 Zariski, Oscar 6 1940 Algebraic varieties over ground fields of characteristic zero. JFM 66.0792.01 Zariski, O. 1 1940 The reduction of the singularities of an algebraic surface. JFM 65.1399.03 Zariski, O. 52 1939 The reduction of the singularities of an algebraic surface. Zbl 0021.25303 Zariski, Oscar 36 1939 Some results in the arithmetic theory of algebraic varieties. JFM 65.0118.02 Zariski, O. 10 1939 Some results in the arithmetic theory of algebraic varieties. Zbl 0020.39101 Zariski, Oscar 8 1939 The resolution of singularities of an algebraic curve. Zbl 0020.16001 Muhly, H. T.; Zariski, O. 1 1939 Polynomial ideals defined by infinitely near base points. Zbl 0018.20101 Zariski, Oscar 33 1938 Polynomial ideals defined by infinitely near base points. JFM 64.0079.01 Zariski, O. 22 1938 The topological discriminant group of a Riemann surface of genus p. Zbl 0016.32502 Zariski, Oscar 22 1937 A theorem on the Poincaré group of an algebraic hypersurface. Zbl 0016.04102 Zariski, Oscar 20 1937 The topological discriminant group of a Riemann surface of genus \(p\). JFM 63.0338.02 Zariski, O. 15 1937 A theorem on the Poincaré group of an algebraic hypersurface. JFM 63.0621.03 Zariski, O. 10 1937 Generalized weight properties of the resultant of \(n + 1\) polynomials in \(n\) indeterminates. JFM 63.0047.01 Zariski, O. 4 1937 Generalized weight properties of the resultant of \(n+1\) polynomials in \(n\) indeterminates. Zbl 0016.10001 Zariski, Oscar 3 1937 On the Poincaré group of rational plane curves. Zbl 0014.32801 Zariski, Oscar 16 1936 On the Poincaré group of rational plane curves. JFM 62.0758.02 Zariski, O. 12 1936 A topological proof of the Riemann-Roch theorem on an algebraic curve. Zbl 0013.07602 Zariski, Oscar 1 1936 Algebraic surfaces. Zbl 0010.37103 Zariski, O. 32 1935 Algebraic surfaces. JFM 61.0704.01 Zariski, O. 24 1935 Reducible exceptional curves of the first kind. Zbl 0010.37104 Barber, S. F.; Zariski, Oscar 2 1935 Reducible exceptional curves of the first kind. JFM 61.0707.01 Barber, S. F.; Zariski, O. 2 1935 On the topology of algebroid singularities. JFM 58.0614.02 Zariski, O. 40 1932 On the topology of algebroid singularities. Zbl 0004.36902 Zariski, Oscar 24 1932 On a theorem of Eddington. JFM 58.0105.02 Zariski, O. 11 1932 On the irregularity of cyclic multiple planes. Zbl 0001.40301 Zariski, Oscar 27 1931 On the irregularity of cyclic multiple planes. JFM 57.0440.03 Zariski, O. 7 1931 On the non-existence of curves of order 8 with 16 cusps. JFM 57.0823.03 Zariski, O. 2 1931 On the non-existence of curves of order 8 with 16 cusps. Zbl 0001.22604 Zariski, Oscar 1 1931 On the irregularity of cyclic multiple planes. JFM 57.0830.13 Zariski, O. 1 1931 On the problem of existence of algebraic functions of two variables possessing a given branch curve. JFM 55.0806.01 Zariski, O. 119 1929 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,700 Authors 63 Heinzer, William J. 40 Cutkosky, Steven Dale 34 Gilmer, Robert W. jun. 34 Ratliff, Louis J. jun. 30 Abhyankar, Shreeram Shankar 29 Dobbs, David Earl 25 Artal Bartolo, Enrique 22 Kuhlmann, Franz-Viktor 21 Olberding, Bruce M. 18 Fontana, Marco 16 Galindo Pastor, Carlos 16 Rush, David E. 15 Eyral, Christophe 15 Hernandes, Marcelo Escudeiro 15 Mordeson, John N. 14 Cogolludo Agustín, José Ignacio 14 Nobile, Augusto 14 Oka, Mutsuo 13 Parusiński, Adam 13 Sampaio, José Edson 13 Tokunaga, Hiro-o 13 Villamayor Uriburu, Orlando Eugenio 13 Warner, Seth 12 García Barroso, Evelia Rosa 12 Spivakovsky, Mark 11 Kang, Ming-Chang 11 Lê Dûng Tráng 11 Spirito, Dario 11 Teissier, Bernard 11 Verma, Jugal Kishore 10 Campillo, Antonio 10 Ciliberto, Ciro 10 Finocchiaro, Carmelo Antonio 10 Greuel, Gert-Martin 10 Gurjar, Rajendra Vasant 10 Loper, Kenneth Alan 10 Monserrat, Francisco 10 Piltant, Olivier 10 Reguera, Ana-José 10 Teicher, Mina 10 Vogel, Wolfgang 10 Yau, Stephen Shing-Toung 9 Brown, William C. 9 Gonçalves, Daciberg Lima 9 González Pérez, Pedro Daniel 9 Greco, Silvio 9 Guaschi, John 9 Küronya, Alex 9 Popescu-Pampu, Patrick 9 Shustin, Eugenii Isaakovich 9 Vasconcelos, Wolmer V. 8 Behboodi, Mahmood 8 Boucksom, Sébastien 8 Degtyarev, Alex 8 Delgado, Felix 8 Harbourne, Brian 8 Hefez, Abramo 8 Hochster, Melvin 8 Jonsson, Mattias 8 Kim, Mee-Kyoung 8 Marchionna, Ermanno 8 Martín-Morales, Jorge 8 Mourtada, Hussein 8 Ngô Viêt Trung 8 Nuño-Ballesteros, Juan José 8 O’Carroll, Liam 8 Ohm, Jack 8 Pfister, Gerhard 8 Rond, Guillaume 8 Van Tuyl, Adam 7 Bravo, Ana María 7 Chistov, Alexandre L. 7 Eakin, Paul M. jun. 7 Favre, Charles 7 Fernández de Bobadilla, Javier 7 Guardo, Elena 7 Kaliman, Shulim I. 7 Kiyek, Karl-Heinz 7 Kulikov, Viktor Stepanovich 7 Libgober, Anatoly S. 7 Mott, Joe Leonard 7 Némethi, András 7 Novacoski, Josnei Antonio 7 Rosales, José Carlos 7 Schicho, Josef 7 Sendra, Juan Rafael 7 Toeniskoetter, Matthew 6 Amram, Meirav 6 Bannai, Shinzo 6 Becker, Joseph A. 6 Blanco, Guillem 6 Cano, Felipe 6 Corral, Nuria 6 Daigle, Daniel 6 Debremaeker, Raymond 6 Dutta, Arpan 6 Fernandes, Alexandre Cesar Gurgel 6 García Sánchez, Pedro A. 6 Grifo, Eloísa 6 Guerville-Ballé, Benoît ...and 2,600 more Authors all top 5 Cited in 340 Serials 382 Journal of Algebra 187 Transactions of the American Mathematical Society 171 Journal of Pure and Applied Algebra 158 Proceedings of the American Mathematical Society 148 Mathematische Annalen 96 Communications in Algebra 88 Mathematische Zeitschrift 79 Inventiones Mathematicae 66 Advances in Mathematics 65 Compositio Mathematica 56 Manuscripta Mathematica 50 Archiv der Mathematik 44 Annales de l’Institut Fourier 44 Annali di Matematica Pura ed Applicata. Serie Quarta 44 Journal of Symbolic Computation 37 Rendiconti del Seminario Matematico della Università di Padova 35 Bulletin de la Société Mathématique de France 27 Bulletin of the American Mathematical Society 24 Duke Mathematical Journal 24 Linear Algebra and its Applications 23 Journal of Number Theory 23 Proceedings of the Japan Academy. Series A 22 Mathematical Proceedings of the Cambridge Philosophical Society 22 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 21 Publications Mathématiques 21 Journal of Algebraic Geometry 20 Israel Journal of Mathematics 20 Nagoya Mathematical Journal 20 Bulletin of the American Mathematical Society. New Series 20 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 20 Journal of Algebra and its Applications 19 Mathematical Notes 19 Topology and its Applications 19 Journal of Mathematical Sciences (New York) 18 International Journal of Mathematics 18 Journal of Commutative Algebra 17 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 17 Michigan Mathematical Journal 15 Rocky Mountain Journal of Mathematics 15 Rendiconti del Circolo Matemàtico di Palermo. Serie II 14 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 14 Algebra and Logic 14 Mathematische Nachrichten 14 Rendiconti del Seminario Matemàtico e Fisico di Milano 13 Fuzzy Sets and Systems 13 Journal für die Reine und Angewandte Mathematik 13 Monatshefte für Mathematik 13 Transformation Groups 12 Journal of the London Mathematical Society. Second Series 12 European Journal of Mathematics 11 Revista Matemática Complutense 11 Bulletin de la Société Mathématique de France. Supplément. Mémoires 9 Journal of Mathematical Analysis and Applications 9 Geometriae Dedicata 9 Journal of the Mathematical Society of Japan 9 Results in Mathematics 9 Tôhoku Mathematical Journal. Second Series 9 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. 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New Series 7 Proceedings of the Japan Academy 6 Astronomische Nachrichten 6 Bulletin of the Australian Mathematical Society 6 Mathematics of Computation 6 Beiträge zur Algebra und Geometrie 6 Algebra Universalis 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Bulletin of the London Mathematical Society 6 Journal of Functional Analysis 6 Kodai Mathematical Journal 6 Osaka Journal of Mathematics 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Journal of the American Mathematical Society 6 St. Petersburg Mathematical Journal 6 Algebra & Number Theory 5 Archive for History of Exact Sciences 5 Communications in Mathematical Physics 5 Journal of Geometry and Physics 5 Journal of Combinatorial Theory. Series A 5 Journal of Differential Equations 5 Mathematica Slovaca 5 Semigroup Forum ...and 240 more Serials all top 5 Cited in 56 Fields 1,434 Algebraic geometry (14-XX) 1,186 Commutative algebra (13-XX) 439 Several complex variables and analytic spaces (32-XX) 265 Field theory and polynomials (12-XX) 203 Associative rings and algebras (16-XX) 196 Group theory and generalizations (20-XX) 195 Number theory (11-XX) 117 Manifolds and cell complexes (57-XX) 79 Computer science (68-XX) 61 Mathematical logic and foundations (03-XX) 54 Linear and multilinear algebra; matrix theory (15-XX) 51 Nonassociative rings and algebras (17-XX) 48 Global analysis, analysis on manifolds (58-XX) 43 Dynamical systems and ergodic theory (37-XX) 43 Functional analysis (46-XX) 43 Differential geometry (53-XX) 42 Functions of a complex variable (30-XX) 39 Combinatorics (05-XX) 37 Algebraic topology (55-XX) 35 Category theory; homological algebra (18-XX) 33 Information and communication theory, circuits (94-XX) 29 Systems theory; control (93-XX) 28 Ordinary differential equations (34-XX) 27 Numerical analysis (65-XX) 26 Convex and discrete geometry (52-XX) 25 Topological groups, Lie groups (22-XX) 24 History and biography (01-XX) 22 Order, lattices, ordered algebraic structures (06-XX) 20 General algebraic systems (08-XX) 19 Operator theory (47-XX) 19 Quantum theory (81-XX) 16 \(K\)-theory (19-XX) 16 Real functions (26-XX) 16 Geometry (51-XX) 15 Approximations and expansions (41-XX) 14 General topology (54-XX) 13 Special functions (33-XX) 11 Partial differential equations (35-XX) 11 Difference and functional equations (39-XX) 6 Integral transforms, operational calculus (44-XX) 6 Relativity and gravitational theory (83-XX) 5 General and overarching topics; collections (00-XX) 5 Abstract harmonic analysis (43-XX) 5 Mechanics of particles and systems (70-XX) 4 Measure and integration (28-XX) 4 Potential theory (31-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Statistics (62-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Sequences, series, summability (40-XX) 2 Operations research, mathematical programming (90-XX) 2 Mathematics education (97-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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