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 79 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 all top 5 Fields 28 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 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 105 Publications have been cited 3,677 times in 2,944 Documents Cited by ▼ Year ▼ Commutative algebra. Vol. II. Zbl 0121.27801Zariski, Oscar; Samuel, Pierre 631 1960 Commutative algebra. Vol. 1. With the cooperation of I. S. Cohen. Zbl 0081.26501Zariski, Oscar; Samuel, Pierre 416 1958 Commutative algebra. Vol. 1. Übersetzung aus dem Englischen von O.N. Vvedenskii, S.P. Demuskin und A.N. Tjurin. Zbl 0112.02902Zariski, O.; Samuel, P. 234 1963 Commutative algebra. Vol. II. Reprint of the 1958-1960 Van Nostrand edition. Zbl 0322.13001Zariski, Oscar; Samuel, Pierre 196 1976 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 0121.27901Zariski, O.; Samuel, P. 178 1963 The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface. Zbl 0124.37001Zariski, Oscar 136 1962 Studies in equisingularity. I: Equivalent singularities of plane algebroid curves. Zbl 0132.41601Zariski, O. 124 1965 Commutative Algebra. Vol. 1. With the cooperation of I. S. Cohen. 2nd ed. Zbl 0313.13001Zariski, Oscar; Samuel, Pierre 122 1975 On the problem of existence of algebraic functions of two variables possessing a given branch curve. JFM 55.0806.01Zariski, O. 114 1929 Algebraic surfaces. With appendices by S.S. Abhyankar, J. Lipman, and D. Mumford. 2nd suplemented ed. Zbl 0219.14020Zariski, O. 81 1971 Some open questions in the theory of singularities. Zbl 0236.14002Zariski, Oscar 65 1971 Studies in equisingularity. II: Equisingularity in codimension 1 (and characteristic zero). Zbl 0146.42502Zariski, O. 59 1965 Local uniformization on algebraic varieties. JFM 66.1327.02Zariski, O. 52 1940 The reduction of the singularities of an algebraic surface. JFM 65.1399.03Zariski, O. 50 1939 Studies in equisingularity. III: Saturation of local rings and equisingularity. Zbl 0189.21405Zariski, O. 49 1968 Interprétations algébrico-géométriques du quatorzième problème de Hilbert. Zbl 0056.39602Zariski, O. 44 1954 On the purity of the branch locus of algebraic functions. Zbl 0087.35703Zariski, Oscar 43 1958 Introduction to the problem of minimal models in the theory of algebraic surfaces. Zbl 0093.33904Zariski, Oscar 40 1958 The concept of a simple point of an abstract algebraic variety. Zbl 0031.26101Zariski, Oscar 38 1947 On the topology of algebroid singularities. JFM 58.0614.02Zariski, O. 37 1932 The reduction of the singularities of an algebraic surface. Zbl 0021.25303Zariski, Oscar 34 1939 Foundations of a general theory of birational correspondences. Zbl 0061.33004Zariski, Oscar 34 1943 Polynomial ideals defined by infinitely near base points. Zbl 0018.20101Zariski, Oscar 32 1938 The compactness of the Riemann manifold of an abstract field of algebraic functions. Zbl 0063.08390Zariski, Oscar 32 1944 Algebraic surfaces. Zbl 0010.37103Zariski, O. 30 1935 On Castelnuovo’s criterion of rationality P\(_a\)=P\(_2\)=0 of an algebraic surface. Zbl 0085.36203Zariski, Oscar 30 1958 Le problème des modules pour les branches planes. Rédigé par François Kmety et Michel Merle. Avec un appendice de Bernard Teissier. Zbl 0317.14004Zariski, Oscar 28 1973 Reduction of the singularities of algebraic three dimensional varieties. Zbl 0063.08361Zariski, Oscar 28 1944 Local uniformization on algebraic varieties. Zbl 0025.21601Zariski, Oscar 26 1940 On the irregularity of cyclic multiple planes. Zbl 0001.40301Zariski, Oscar 26 1931 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 0592.14010Zariski, Oscar 25 1986 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 0516.14023Zariski, Oscar 24 1982 Algebraic surfaces. JFM 61.0704.01Zariski, O. 24 1935 Characterization of plane algebroid curves whose module of differentials has maxim torsion. Zbl 0144.20201Zariski, O. 24 1966 On the topology of algebroid singularities. Zbl 0004.36902Zariski, Oscar 24 1932 A simplified proof for the resolution of singularities of an algebraic surface. Zbl 0063.08389Zariski, Oscar 23 1942 The topological discriminant group of a Riemann surface of genus p. Zbl 0016.32502Zariski, Oscar 22 1937 Complete linear systems on normal varieties and a generalization of a lemma of Enriques-Severi. Zbl 0047.14803Zariski, Oscar 20 1952 The problem of minimal models in the theory of algebraic surfaces. Zbl 0085.36202Zariski, Oscar 20 1958 General theory of saturation and of saturated local rings. II: Saturated local rings of dimension 1. Zbl 0228.13007Zariski, Oscar 20 1971 Polynomial ideals defined by infinitely near base points. JFM 64.0079.01Zariski, O. 20 1938 The moduli problem for plane branches. With an appendix by Bernard Teissier. Transl. from the French by Ben Lichtin. Zbl 1107.14021Zariski, Oscar 20 2006 A theorem on the Poincaré group of an algebraic hypersurface. Zbl 0016.04102Zariski, Oscar 19 1937 Pencils on an algebraic variety and a new proof of a theorem of Bertini. Zbl 0025.21502Zariski, Oscar 19 1941 The theorem of Bertini on variable singular points of a linear system of varieties. Zbl 0061.33101Zariski, Oscar 19 1944 A fundamental lemma from the theory of holomorphic functions on an algebraic variety. Zbl 0039.03301Zariski, Oscar 18 1949 Theory and applications of holomorpic functions on algebraic varieties over arbitrary ground fields. Zbl 0045.24001Zariski, Oscar 17 1951 On the Poincaré group of rational plane curves. Zbl 0014.32801Zariski, Oscar 16 1936 Analytical irreducibility of normal varieties. Zbl 0037.22701Zariski, Oscar 16 1948 On the linear connection index of the algebraic surfaces \(z^n=f(x,y)\). JFM 55.0806.02Zariski, O. 15 1929 An introduction to the theory of algebraic surfaces. Zbl 0177.49001Zariski, O. 14 1969 Contributions to the problem of equisingularity. Zbl 0204.54503Zariski, O. 14 1970 The topological discriminant group of a Riemann surface of genus \(p\). JFM 63.0338.02Zariski, O. 14 1937 On the Poincaré group of rational plane curves. JFM 62.0758.02Zariski, O. 12 1936 A new proof of Hilbert’s Nullstellensatz. Zbl 0032.26001Zariski, Oscar 12 1947 Pencils on an algebraic variety and a new proof of a theorem of Bertini. JFM 67.0618.01Zariski, O. 12 1941 Foundations of a general theory of equisingularity on r-dimensional algebroid and algebraic varieties, of embedding dimension r+1. Zbl 0417.14008Zariski, Oscar 11 1979 Exceptional singularities of an algebroid surface and their reduction. Zbl 0168.18903Zariski, O. 11 1967 On a theorem of Eddington. JFM 58.0105.02Zariski, O. 11 1932 A theorem on the Poincaré group of an algebraic hypersurface. JFM 63.0621.03Zariski, O. 10 1937 Some results in the arithmetic theory of algebraic varieties. JFM 65.0118.02Zariski, O. 10 1939 On equimultiple subvarieties of algebroid hypersurfaces. Zbl 0304.14008Zariski, Oscar 8 1975 General theory of saturation and of saturated local rings. III: Saturation in arbitrary dimension and, in particular, saturation of algebroid hypersurfaces. Zbl 0306.13009Zariski, Oscar 8 1975 Some results in the arithmetic theory of algebraic varieties. Zbl 0020.39101Zariski, Oscar 8 1939 Sur la normalité analytique des variétés normales. Zbl 0044.26601Zariski, Oscar 8 1950 Scientific report on the Second Summer Institute, Several Complex Variables. Part III: Algebraic sheaf theory. Zbl 0074.15703Zariski, Oskar 8 1956 Algebraic varieties over ground fields of characteristic zero. Zbl 0022.30501Zariski, Oscar 6 1940 A simple analytical proof of a fundamental property of birational transformations. Zbl 0037.16401Zariski, Oscar 6 1949 Normal varieties and birational correspondences. Zbl 0063.08388Zariski, Oscar 6 1942 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 0226.13013Zariski, Oscar 6 1971 On the irregularity of cyclic multiple planes. JFM 57.0440.03Zariski, O. 6 1931 A fundamental inequality in the theory of extensions of valuations. Zbl 0079.05601Cohen, I. S.; Zariski, Oscar 5 1957 Algebraic surfaces: with appendices by S. S. Abhyankar, J. Lipman and D. Mumford. Reprint of the 2nd suppl. ed. 1971. Zbl 0845.14021Zariski, Oscar 5 1995 Sull’ impossibilità di risolvere parametricamente per radicali un’equazione algebrica \(f (x,y) = 0\) di genere \(p > 6\) a moduli generali. JFM 52.0652.05Zariski, O. 4 1926 Applicazioni geometriche della teoria delle valutazioni. Zbl 0055.38801Zariski, Oscar 3 1954 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 0446.14001Zariski, Oscar 3 1978 Generalized weight properties of the resultant of \(n + 1\) polynomials in \(n\) indeterminates. JFM 63.0047.01Zariski, O. 3 1937 Reducible exceptional curves of the first kind. JFM 61.0707.01Barber, S. F.; Zariski, O. 2 1935 On a theorem of Severi. JFM 54.0698.01Zariski, O. 2 1928 Reducible exceptional curves of the first kind. Zbl 0010.37104Barber, S. F.; Zariski, Oscar 2 1935 Generalized weight properties of the resultant of \(n+1\) polynomials in \(n\) indeterminates. Zbl 0016.10001Zariski, Oscar 2 1937 Hilbert’s characteristic function and the arithmetic genus of an algebraic variety. Zbl 0041.08403Muhly, H. T.; Zariski, O. 2 1950 The fundamental ideas of abstract algebraic geometry. Zbl 0049.22701Zariski, Oscar 2 1952 Generalized semi-local rings. Zbl 0063.08392Zariski, Oscar 2 1946 Splitting of valuations in extensions of local domains. I. Zbl 0064.27204Abhyankar, Shreeram; Zariski, Oscar 2 1955 The connectedness theorem for birational transformations. Zbl 0087.35601Zariski, Oscar 2 1957 Collected papers. Vol. I: Foundations of algebraic geometry and resolution of singularities. Edited by H. Hironaka and D. Mumford. Zbl 0234.14001Zariski, Oscar 2 1972 On the non-existence of curves of order 8 with 16 cusps. JFM 57.0823.03Zariski, O. 2 1931 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 0597.14022Zariski, Oscar 1 1983 Collected papers. Volume II: Holomorphic functions and linear systems. Ed. by M. Artin and D. Mumford. Zbl 0564.14001Zariski, Oscar 1 1973 Some open questions in the theory of singularities. Zbl 0241.14003Zariski, Oscar 1 1972 On hyperelliptic \(\varTheta\)-functions with rational characteristics. JFM 54.0410.05Zariski, O. 1 1928 Sopra una classe di equazioni algebriche contenenti linearmente un parametro e risolubili per radicali. JFM 52.0653.01Zariski, 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 50.0048.02Zariski, O. 1 1924 A topological proof of the Riemann-Roch theorem on an algebraic curve. Zbl 0013.07602Zariski, Oscar 1 1936 The resolution of singularities of an algebraic curve. Zbl 0020.16001Muhly, H. T.; Zariski, O. 1 1939 Le problème de la réduction des singularités d’une variété algébrique. Zbl 0055.38802Zariski, O. 1 1954 On differentials in function fields. Zbl 0100.03402Zariski, Oscar; Falb, Peter 1 1961 La risoluzione delle singolarita delle superficie algebriche immerse. I, II. Zbl 0105.14301Zariski, O. 1 1961 The elusive concept of equisingularity and related questions. Zbl 0422.14006Zariski, Oscar 1 1977 The moduli problem for plane branches. With an appendix by Bernard Teissier. Transl. from the French by Ben Lichtin. Zbl 1107.14021Zariski, Oscar 20 2006 Algebraic surfaces: with appendices by S. S. Abhyankar, J. Lipman and D. Mumford. Reprint of the 2nd suppl. ed. 1971. Zbl 0845.14021Zariski, 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 0592.14010Zariski, Oscar 25 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 0597.14022Zariski, 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 0516.14023Zariski, 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 0455.14004Zariski, Oscar 1 1980 Foundations of a general theory of equisingularity on r-dimensional algebroid and algebraic varieties, of embedding dimension r+1. Zbl 0417.14008Zariski, Oscar 11 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 0446.14001Zariski, Oscar 3 1978 The elusive concept of equisingularity and related questions. Zbl 0422.14006Zariski, Oscar 1 1977 Commutative algebra. Vol. II. Reprint of the 1958-1960 Van Nostrand edition. Zbl 0322.13001Zariski, Oscar; Samuel, Pierre 196 1976 Commutative Algebra. Vol. 1. With the cooperation of I. S. Cohen. 2nd ed. Zbl 0313.13001Zariski, Oscar; Samuel, Pierre 122 1975 On equimultiple subvarieties of algebroid hypersurfaces. Zbl 0304.14008Zariski, Oscar 8 1975 General theory of saturation and of saturated local rings. III: Saturation in arbitrary dimension and, in particular, saturation of algebroid hypersurfaces. Zbl 0306.13009Zariski, Oscar 8 1975 Le problème des modules pour les branches planes. Rédigé par François Kmety et Michel Merle. Avec un appendice de Bernard Teissier. Zbl 0317.14004Zariski, Oscar 28 1973 Collected papers. Volume II: Holomorphic functions and linear systems. Ed. by M. Artin and D. Mumford. Zbl 0564.14001Zariski, Oscar 1 1973 Collected papers. Vol. I: Foundations of algebraic geometry and resolution of singularities. Edited by H. Hironaka and D. Mumford. Zbl 0234.14001Zariski, Oscar 2 1972 Some open questions in the theory of singularities. Zbl 0241.14003Zariski, Oscar 1 1972 Algebraic surfaces. With appendices by S.S. Abhyankar, J. Lipman, and D. Mumford. 2nd suplemented ed. Zbl 0219.14020Zariski, O. 81 1971 Some open questions in the theory of singularities. Zbl 0236.14002Zariski, Oscar 65 1971 General theory of saturation and of saturated local rings. II: Saturated local rings of dimension 1. Zbl 0228.13007Zariski, Oscar 20 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 0226.13013Zariski, Oscar 6 1971 Contributions to the problem of equisingularity. Zbl 0204.54503Zariski, O. 14 1970 An introduction to the theory of algebraic surfaces. Zbl 0177.49001Zariski, O. 14 1969 Studies in equisingularity. III: Saturation of local rings and equisingularity. Zbl 0189.21405Zariski, O. 49 1968 Exceptional singularities of an algebroid surface and their reduction. Zbl 0168.18903Zariski, O. 11 1967 Characterization of plane algebroid curves whose module of differentials has maxim torsion. Zbl 0144.20201Zariski, O. 24 1966 A new operation (’saturation’) on local rings and applications to classification of singularities. Zbl 0154.20805Zariski, O. 1 1966 Studies in equisingularity. I: Equivalent singularities of plane algebroid curves. Zbl 0132.41601Zariski, O. 124 1965 Studies in equisingularity. II: Equisingularity in codimension 1 (and characteristic zero). Zbl 0146.42502Zariski, O. 59 1965 Commutative algebra. Vol. 1. Übersetzung aus dem Englischen von O.N. Vvedenskii, S.P. Demuskin und A.N. Tjurin. Zbl 0112.02902Zariski, O.; Samuel, P. 234 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 0121.27901Zariski, O.; Samuel, P. 178 1963 The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface. Zbl 0124.37001Zariski, Oscar 136 1962 On differentials in function fields. Zbl 0100.03402Zariski, Oscar; Falb, Peter 1 1961 La risoluzione delle singolarita delle superficie algebriche immerse. I, II. Zbl 0105.14301Zariski, O. 1 1961 Commutative algebra. Vol. II. Zbl 0121.27801Zariski, Oscar; Samuel, Pierre 631 1960 Commutative algebra. Vol. 1. With the cooperation of I. S. Cohen. Zbl 0081.26501Zariski, Oscar; Samuel, Pierre 416 1958 On the purity of the branch locus of algebraic functions. Zbl 0087.35703Zariski, Oscar 43 1958 Introduction to the problem of minimal models in the theory of algebraic surfaces. Zbl 0093.33904Zariski, Oscar 40 1958 On Castelnuovo’s criterion of rationality P\(_a\)=P\(_2\)=0 of an algebraic surface. Zbl 0085.36203Zariski, Oscar 30 1958 The problem of minimal models in the theory of algebraic surfaces. Zbl 0085.36202Zariski, Oscar 20 1958 A fundamental inequality in the theory of extensions of valuations. Zbl 0079.05601Cohen, I. S.; Zariski, Oscar 5 1957 The connectedness theorem for birational transformations. Zbl 0087.35601Zariski, Oscar 2 1957 Scientific report on the Second Summer Institute, Several Complex Variables. Part III: Algebraic sheaf theory. Zbl 0074.15703Zariski, Oskar 8 1956 Splitting of valuations in extensions of local domains. I. Zbl 0064.27204Abhyankar, Shreeram; Zariski, Oscar 2 1955 Interprétations algébrico-géométriques du quatorzième problème de Hilbert. Zbl 0056.39602Zariski, O. 44 1954 Applicazioni geometriche della teoria delle valutazioni. Zbl 0055.38801Zariski, Oscar 3 1954 Le problème de la réduction des singularités d’une variété algébrique. Zbl 0055.38802Zariski, O. 1 1954 Complete linear systems on normal varieties and a generalization of a lemma of Enriques-Severi. Zbl 0047.14803Zariski, Oscar 20 1952 The fundamental ideas of abstract algebraic geometry. Zbl 0049.22701Zariski, Oscar 2 1952 Theory and applications of holomorpic functions on algebraic varieties over arbitrary ground fields. Zbl 0045.24001Zariski, Oscar 17 1951 Sur la normalité analytique des variétés normales. Zbl 0044.26601Zariski, Oscar 8 1950 Hilbert’s characteristic function and the arithmetic genus of an algebraic variety. Zbl 0041.08403Muhly, H. T.; Zariski, O. 2 1950 A fundamental lemma from the theory of holomorphic functions on an algebraic variety. Zbl 0039.03301Zariski, Oscar 18 1949 A simple analytical proof of a fundamental property of birational transformations. Zbl 0037.16401Zariski, Oscar 6 1949 Analytical irreducibility of normal varieties. Zbl 0037.22701Zariski, Oscar 16 1948 The concept of a simple point of an abstract algebraic variety. Zbl 0031.26101Zariski, Oscar 38 1947 A new proof of Hilbert’s Nullstellensatz. Zbl 0032.26001Zariski, Oscar 12 1947 Generalized semi-local rings. Zbl 0063.08392Zariski, Oscar 2 1946 The compactness of the Riemann manifold of an abstract field of algebraic functions. Zbl 0063.08390Zariski, Oscar 32 1944 Reduction of the singularities of algebraic three dimensional varieties. Zbl 0063.08361Zariski, Oscar 28 1944 The theorem of Bertini on variable singular points of a linear system of varieties. Zbl 0061.33101Zariski, Oscar 19 1944 Foundations of a general theory of birational correspondences. Zbl 0061.33004Zariski, Oscar 34 1943 A simplified proof for the resolution of singularities of an algebraic surface. Zbl 0063.08389Zariski, Oscar 23 1942 Normal varieties and birational correspondences. Zbl 0063.08388Zariski, Oscar 6 1942 Pencils on an algebraic variety and a new proof of a theorem of Bertini. Zbl 0025.21502Zariski, Oscar 19 1941 Pencils on an algebraic variety and a new proof of a theorem of Bertini. JFM 67.0618.01Zariski, O. 12 1941 Local uniformization on algebraic varieties. JFM 66.1327.02Zariski, O. 52 1940 Local uniformization on algebraic varieties. Zbl 0025.21601Zariski, Oscar 26 1940 Algebraic varieties over ground fields of characteristic zero. Zbl 0022.30501Zariski, Oscar 6 1940 Algebraic varieties over ground fields of characteristic zero. JFM 66.0792.01Zariski, O. 1 1940 The reduction of the singularities of an algebraic surface. JFM 65.1399.03Zariski, O. 50 1939 The reduction of the singularities of an algebraic surface. Zbl 0021.25303Zariski, Oscar 34 1939 Some results in the arithmetic theory of algebraic varieties. JFM 65.0118.02Zariski, O. 10 1939 Some results in the arithmetic theory of algebraic varieties. Zbl 0020.39101Zariski, Oscar 8 1939 The resolution of singularities of an algebraic curve. Zbl 0020.16001Muhly, H. T.; Zariski, O. 1 1939 Polynomial ideals defined by infinitely near base points. Zbl 0018.20101Zariski, Oscar 32 1938 Polynomial ideals defined by infinitely near base points. JFM 64.0079.01Zariski, O. 20 1938 The topological discriminant group of a Riemann surface of genus p. Zbl 0016.32502Zariski, Oscar 22 1937 A theorem on the Poincaré group of an algebraic hypersurface. Zbl 0016.04102Zariski, Oscar 19 1937 The topological discriminant group of a Riemann surface of genus \(p\). JFM 63.0338.02Zariski, O. 14 1937 A theorem on the Poincaré group of an algebraic hypersurface. JFM 63.0621.03Zariski, O. 10 1937 Generalized weight properties of the resultant of \(n + 1\) polynomials in \(n\) indeterminates. JFM 63.0047.01Zariski, O. 3 1937 Generalized weight properties of the resultant of \(n+1\) polynomials in \(n\) indeterminates. Zbl 0016.10001Zariski, Oscar 2 1937 On the Poincaré group of rational plane curves. Zbl 0014.32801Zariski, Oscar 16 1936 On the Poincaré group of rational plane curves. JFM 62.0758.02Zariski, O. 12 1936 A topological proof of the Riemann-Roch theorem on an algebraic curve. Zbl 0013.07602Zariski, Oscar 1 1936 Algebraic surfaces. Zbl 0010.37103Zariski, O. 30 1935 Algebraic surfaces. JFM 61.0704.01Zariski, O. 24 1935 Reducible exceptional curves of the first kind. JFM 61.0707.01Barber, S. F.; Zariski, O. 2 1935 Reducible exceptional curves of the first kind. Zbl 0010.37104Barber, S. F.; Zariski, Oscar 2 1935 On the topology of algebroid singularities. JFM 58.0614.02Zariski, O. 37 1932 On the topology of algebroid singularities. Zbl 0004.36902Zariski, Oscar 24 1932 On a theorem of Eddington. JFM 58.0105.02Zariski, O. 11 1932 On the irregularity of cyclic multiple planes. Zbl 0001.40301Zariski, Oscar 26 1931 On the irregularity of cyclic multiple planes. JFM 57.0440.03Zariski, O. 6 1931 On the non-existence of curves of order 8 with 16 cusps. JFM 57.0823.03Zariski, O. 2 1931 On the irregularity of cyclic multiple planes. JFM 57.0830.13Zariski, O. 1 1931 On the non-existence of curves of order 8 with 16 cusps. Zbl 0001.22604Zariski, Oscar 1 1931 On the problem of existence of algebraic functions of two variables possessing a given branch curve. JFM 55.0806.01Zariski, O. 114 1929 On the linear connection index of the algebraic surfaces \(z^n=f(x,y)\). JFM 55.0806.02Zariski, O. 15 1929 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,456 Authors 61 Heinzer, William J. 37 Cutkosky, Steven Dale 34 Gilmer, Robert W. jun. 34 Ratliff, Louis J. jun. 29 Abhyankar, Shreeram Shankar 24 Artal Bartolo, Enrique 22 Dobbs, David Earl 19 Olberding, Bruce M. 18 Kuhlmann, Franz-Viktor 17 Fontana, Marco 16 Rush, David E. 15 Mordeson, John N. 14 Eyral, Christophe 14 Galindo Pastor, Carlos 14 Nobile, Augusto 13 Cogolludo Agustín, José Ignacio 13 Oka, Mutsuo 13 Tokunaga, Hiro-o 13 Warner, Seth 12 Parusiński, Adam 12 Spivakovsky, Mark 11 Hernandes, Marcelo Escudeiro 11 Lê Dûng Tráng 11 Sampaio, José Edson 11 Villamayor Uriburu, Orlando Eugenio 10 Kang, Ming-Chang 10 Piltant, Olivier 10 Spirito, Dario 10 Teicher, Mina 10 Teissier, Bernard 10 Verma, Jugal Kishore 10 Vogel, Wolfgang 10 Yau, Stephen Shing-Toung 9 Brown, William C. 9 Campillo, Antonio 9 Ciliberto, Ciro 9 Finocchiaro, Carmelo Antonio 9 García Barroso, Evelia Rosa 9 Gonçalves, Daciberg Lima 9 Greco, Silvio 9 Greuel, Gert-Martin 9 Guaschi, John 9 Monserrat, Francisco 9 Reguera, Ana-José 9 Shustin, Eugenii Isaakovich 9 Vasconcelos, Wolmer V. 8 Degtyarev, Alex 8 González Pérez, Pedro Daniel 8 Gurjar, Rajendra Vasant 8 Hefez, Abramo 8 Marchionna, Ermanno 8 O’Carroll, Liam 8 Ohm, Jack 7 Boucksom, Sébastien 7 Chistov, Alexandre L. 7 Eakin, Paul M. jun. 7 Favre, Charles 7 Jonsson, Mattias 7 Kim, Mee-Kyoung 7 Kiyek, Karl-Heinz 7 Küronya, Alex 7 Libgober, Anatoly S. 7 Mott, Joe Leonard 7 Ngô Viêt Trung 7 Nuño-Ballesteros, Juan José 7 Pfister, Gerhard 7 Popescu-Pampu, Patrick 7 Van Tuyl, Adam 6 Amram, Meirav 6 Bannai, Shinzo 6 Becker, Joseph A. 6 Cano, Felipe 6 Debremaeker, Raymond 6 Delgado, Felix 6 Grifo, Eloísa 6 Guardo, Elena 6 Guerville-Ballé, Benoît 6 Harbourne, Brian 6 Hauser, Herwig 6 Herrmann, Manfred 6 Hochster, Melvin 6 Huneke, Craig L. 6 Kaliman, Shulim I. 6 Kleiman, Steven Lawrence 6 Kuhlmann, Norbert 6 Kulikov, Viktor Stepanovich 6 Kuroda, Shigeru 6 Loper, Kenneth Alan 6 Luengo, Ignacio 6 Martín-Morales, Jorge 6 Millevoi, Tomaso 6 Némethi, András 6 Noh, Sunsook 6 Pichon, Anne 6 Risler, Jean-Jacques 6 Rond, Guillaume 6 Samuel, Pierre 6 Schicho, Josef 6 Shah, Kishor 6 Shirane, Taketo ...and 2,356 more Authors all top 5 Cited in 313 Serials 349 Journal of Algebra 183 Transactions of the American Mathematical Society 154 Proceedings of the American Mathematical Society 151 Journal of Pure and Applied Algebra 147 Mathematische Annalen 82 Communications in Algebra 82 Mathematische Zeitschrift 78 Inventiones Mathematicae 63 Compositio Mathematica 56 Advances in Mathematics 56 Manuscripta Mathematica 50 Archiv der Mathematik 41 Annales de l’Institut Fourier 37 Annali di Matematica Pura ed Applicata. Serie Quarta 37 Rendiconti del Seminario Matematico della Università di Padova 37 Journal of Symbolic Computation 35 Bulletin de la Société Mathématique de France 27 Bulletin of the American Mathematical Society 24 Duke Mathematical Journal 23 Proceedings of the Japan Academy. Series A 22 Mathematical Proceedings of the Cambridge Philosophical Society 22 Linear Algebra and its Applications 21 Publications Mathématiques 20 Bulletin of the American Mathematical Society. New Series 19 Israel Journal of Mathematics 19 Mathematical Notes 19 Nagoya Mathematical Journal 18 Topology and its Applications 18 Journal of Algebra and its Applications 17 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 17 International Journal of Mathematics 17 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 17 Journal of Algebraic Geometry 16 Journal of Mathematical Sciences (New York) 16 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 15 Journal of Number Theory 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Rocky Mountain Journal of Mathematics 14 Algebra and Logic 14 Rendiconti del Seminario Matemàtico e Fisico di Milano 13 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 13 Monatshefte für Mathematik 13 Rendiconti del Circolo Matemàtico di Palermo. Serie II 13 Journal of Commutative Algebra 12 Journal für die Reine und Angewandte Mathematik 12 Michigan Mathematical Journal 12 Transformation Groups 11 Fuzzy Sets and Systems 11 Bulletin de la Société Mathématique de France. Supplément. Mémoires 10 European Journal of Mathematics 9 Journal of Mathematical Analysis and Applications 9 Journal of the Mathematical Society of Japan 9 Mathematische Nachrichten 9 Results in Mathematics 9 Tôhoku Mathematical Journal. Second Series 9 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 8 Arkiv för Matematik 8 Czechoslovak Mathematical Journal 8 Functional Analysis and its Applications 8 Siberian Mathematical Journal 8 Applicable Algebra in Engineering, Communication and Computing 8 Journal of Knot Theory and its Ramifications 8 Revista Matemática Complutense 7 Acta Mathematica 7 Geometriae Dedicata 7 Journal of Soviet Mathematics 7 Memoirs of the American Mathematical Society 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Computer Aided Geometric Design 7 Revista Matemática Iberoamericana 7 International Journal of Algebra and Computation 7 Finite Fields and their Applications 7 Geometry & Topology 7 Bulletin of the Brazilian Mathematical Society. New Series 7 Proceedings of the Japan Academy 6 Astronomische Nachrichten 6 Bulletin of the Australian Mathematical Society 6 Discrete Mathematics 6 Mathematics of Computation 6 Algebra Universalis 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Journal of the London Mathematical Society. Second Series 6 Kodai Mathematical Journal 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 St. Petersburg Mathematical Journal 6 Journal of Singularities 5 Archive for History of Exact Sciences 5 Beiträge zur Algebra und Geometrie 5 Journal of Functional Analysis 5 Mathematica Slovaca 5 Osaka Journal of Mathematics 5 Semigroup Forum 5 Acta Mathematica Hungarica 5 Journal of the American Mathematical Society 5 Designs, Codes and Cryptography 5 Expositiones Mathematicae 5 Selecta Mathematica. New Series 5 Annals of Mathematics. Second Series 5 Algebraic & Geometric Topology 4 Communications in Mathematical Physics ...and 213 more Serials all top 5 Cited in 56 Fields 1,300 Algebraic geometry (14-XX) 1,056 Commutative algebra (13-XX) 389 Several complex variables and analytic spaces (32-XX) 232 Field theory and polynomials (12-XX) 173 Associative rings and algebras (16-XX) 173 Group theory and generalizations (20-XX) 170 Number theory (11-XX) 111 Manifolds and cell complexes (57-XX) 60 Computer science (68-XX) 50 Linear and multilinear algebra; matrix theory (15-XX) 48 Mathematical logic and foundations (03-XX) 48 Nonassociative rings and algebras (17-XX) 41 Global analysis, analysis on manifolds (58-XX) 39 Functional analysis (46-XX) 36 Algebraic topology (55-XX) 34 Dynamical systems and ergodic theory (37-XX) 32 Functions of a complex variable (30-XX) 30 Combinatorics (05-XX) 30 Category theory; homological algebra (18-XX) 29 Differential geometry (53-XX) 26 Convex and discrete geometry (52-XX) 26 Systems theory; control (93-XX) 26 Information and communication theory, circuits (94-XX) 24 Numerical analysis (65-XX) 23 Topological groups, Lie groups (22-XX) 22 Ordinary differential equations (34-XX) 20 Order, lattices, ordered algebraic structures (06-XX) 19 History and biography (01-XX) 17 General algebraic systems (08-XX) 16 Geometry (51-XX) 15 \(K\)-theory (19-XX) 15 Approximations and expansions (41-XX) 14 Operator theory (47-XX) 14 General topology (54-XX) 14 Quantum theory (81-XX) 13 Real functions (26-XX) 10 Partial differential equations (35-XX) 9 Special functions (33-XX) 8 Difference and functional equations (39-XX) 6 Relativity and gravitational theory (83-XX) 5 Integral transforms, operational calculus (44-XX) 4 General and overarching topics; collections (00-XX) 4 Measure and integration (28-XX) 4 Mechanics of particles and systems (70-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Sequences, series, summability (40-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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