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## Zariski, Oscar

Compute Distance To:
 Author ID: zariski.oscar Published as: Zariski, O.; Zariski, Oscar; Zariski, Oskar External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor Awards: Wolf Prize (1981)
 Documents Indexed: 139 Publications since 1924, including 19 Books Biographic References: 8 Publications
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#### Co-Authors

 123 single-authored 6 Samuel, Pierre 3 Muhly, Harry Townsend 2 Barber, Sherburne F. 2 Schilling, Otto Franz Georg 1 Abhyankar, Shreeram Shankar 1 Cohen, Irvin Sol 1 Falb, Peter L.
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#### 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 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 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
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#### Fields

 25 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)

#### Citations contained in zbMATH Open

101 Publications have been cited 3,590 times in 2,745 Documents Cited by Year
Commutative algebra. Vol. II. Zbl 0121.27801
Zariski, Oscar; Samuel, Pierre
1960
Commutative algebra. Vol. 1. With the cooperation of I. S. Cohen. Zbl 0081.26501
Zariski, Oscar; Samuel, Pierre
1958
Commutative algebra. Vol. II. Reprint of the 1958-1960 Van Nostrand edition. Zbl 0322.13001
Zariski, Oscar; Samuel, Pierre
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. Zbl 0121.27901
Zariski, O.; Samuel, P.
1963
Commutative Algebra. Vol. 1. With the cooperation of I. S. Cohen. 2nd ed. Zbl 0313.13001
Zariski, Oscar; Samuel, Pierre
1975
The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface. Zbl 0124.37001
Zariski, Oscar
1962
Studies in equisingularity. I: Equivalent singularities of plane algebroid curves. Zbl 0132.41601
Zariski, O.
1965
On the problem of existence of algebraic functions of two variables possessing a given branch curve. JFM 55.0806.01
Zariski, O.
1929
Algebraic surfaces. With appendices by S.S. Abhyankar, J. Lipman, and D. Mumford. 2nd suplemented ed. Zbl 0219.14020
Zariski, O.
1971
Studies in equisingularity. II: Equisingularity in codimension 1 (and characteristic zero). Zbl 0146.42502
Zariski, O.
1965
Some open questions in the theory of singularities. Zbl 0236.14002
Zariski, Oscar
1971
The reduction of the singularities of an algebraic surface. Zbl 0021.25303
Zariski, Oscar
1939
The reduction of the singularities of an algebraic surface. JFM 65.1399.03
Zariski, O.
1939
Polynomial ideals defined by infinitely near base points. Zbl 0018.20101
Zariski, Oscar
1938
Introduction to the problem of minimal models in the theory of algebraic surfaces. Zbl 0093.33904
Zariski, Oscar
1958
Studies in equisingularity. III: Saturation of local rings and equisingularity. Zbl 0189.21405
Zariski, O.
1968
Interprétations algébrico-géométriques du quatorzième problème de Hilbert. Zbl 0056.39602
Zariski, O.
1954
Local uniformization on algebraic varieties. JFM 66.1327.02
Zariski, O.
1940
On the purity of the branch locus of algebraic functions. Zbl 0087.35703
Zariski, Oscar
1958
The concept of a simple point of an abstract algebraic variety. Zbl 0031.26101
Zariski, Oscar
1947
Le problème des modules pour les branches planes. Redige par Francois Kmety et Michel Merle. Avec un appendice de Bernard Teissier. Zbl 0317.14004
Zariski, Oscar
1973
Local uniformization on algebraic varieties. Zbl 0025.21601
Zariski, Oscar
1940
On the topology of algebroid singularities. JFM 58.0614.02
Zariski, O.
1932
On Castelnuovo’s criterion of rationality P$$_a$$=P$$_2$$=0 of an algebraic surface. Zbl 0085.36203
Zariski, Oscar
1958
Foundations of a general theory of birational correspondences. Zbl 0061.33004
Zariski, Oscar
1943
Algebraic surfaces. JFM 61.0704.01
Zariski, O.
1935
The compactness of the Riemann manifold of an abstract field of algebraic functions. Zbl 0063.08390
Zariski, Oscar
1944
Reduction of the singularities of algebraic three dimensional varieties. Zbl 0063.08361
Zariski, Oscar
1944
On the irregularity of cyclic multiple planes. Zbl 0001.40301
Zariski, Oscar
1931
The topological discriminant group of a Riemann surface of genus p. Zbl 0016.32502
Zariski, Oscar
1937
Algebraic surfaces. Zbl 0010.37103
Zariski, O.
1935
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
1982
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
1986
A simplified proof for the resolution of singularities of an algebraic surface. Zbl 0063.08389
Zariski, Oscar
1942
On the Poincaré group of rational plane curves. Zbl 0014.32801
Zariski, Oscar
1936
The problem of minimal models in the theory of algebraic surfaces. Zbl 0085.36202
Zariski, Oscar
1958
On the topology of algebroid singularities. Zbl 0004.36902
Zariski, Oscar
1932
Characterization of plane algebroid curves whose module of differentials has maxim torsion. Zbl 0144.20201
Zariski, O.
1966
Complete linear systems on normal varieties and a generalization of a lemma of Enriques-Severi. Zbl 0047.14803
Zariski, Oscar
1952
Pencils on an algebraic variety and a new proof of a theorem of Bertini. Zbl 0025.21502
Zariski, Oscar
1941
A theorem on the Poincaré group of an algebraic hypersurface. Zbl 0016.04102
Zariski, Oscar
1937
Theory and applications of holomorpic functions on algebraic varieties over arbitrary ground fields. Zbl 0045.24001
Zariski, Oscar
1951
The theorem of Bertini on variable singular points of a linear system of varieties. Zbl 0061.33101
Zariski, Oscar
1944
Polynomial ideals defined by infinitely near base points. JFM 64.0079.01
Zariski, O.
1938
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.
1963
General theory of saturation and of saturated local rings. II: Saturated local rings of dimension 1. Zbl 0228.13007
Zariski, Oscar
1971
Analytical irreducibility of normal varieties. Zbl 0037.22701
Zariski, Oscar
1948
An introduction to the theory of algebraic surfaces. Zbl 0177.49001
Zariski, O.
1969
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
1995
Contributions to the problem of equisingularity. Zbl 0204.54503
Zariski, O.
1970
A fundamental lemma from the theory of holomorphic functions on an algebraic variety. Zbl 0039.03301
Zariski, Oscar
1949
A new proof of Hilbert’s Nullstellensatz. Zbl 0032.26001
Zariski, Oscar
1947
On the linear connection index of the algebraic surfaces $$z^n=f(x,y)$$. JFM 55.0806.02
Zariski, O.
1929
The moduli problem for plane branches. With an appendix by Bernard Teissier. Transl. from the French by Ben Lichtin. Zbl 1107.14021
Zariski, Oscar
2006
Pencils on an algebraic variety and a new proof of a theorem of Bertini. JFM 67.0618.01
Zariski, O.
1941
The topological discriminant group of a Riemann surface of genus $$p$$. JFM 63.0338.02
Zariski, O.
1937
Exceptional singularities of an algebroid surface and their reduction. Zbl 0168.18903
Zariski, O.
1967
On the Poincaré group of rational plane curves. JFM 62.0758.02
Zariski, O.
1936
On a theorem of Eddington. JFM 58.0105.02
Zariski, O.
1932
Foundations of a general theory of equisingularity on r-dimensional algebroid and algebraic varieties, of embedding dimension r+1. Zbl 0417.14008
Zariski, Oscar
1979
Scientific report on the Second Summer Institute, Several Complex Variables. Part III: Algebraic sheaf theory. Zbl 0074.15703
Zariski, Oskar
1956
Some results in the arithmetic theory of algebraic varieties. JFM 65.0118.02
Zariski, O.
1939
Sur la normalité analytique des variétés normales. Zbl 0044.26601
Zariski, Oscar
1950
Some results in the arithmetic theory of algebraic varieties. Zbl 0020.39101
Zariski, Oscar
1939
A simple analytical proof of a fundamental property of birational transformations. Zbl 0037.16401
Zariski, Oscar
1949
Algebraic varieties over ground fields of characteristic zero. Zbl 0022.30501
Zariski, Oscar
1940
A theorem on the Poincaré group of an algebraic hypersurface. JFM 63.0621.03
Zariski, O.
1937
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
1975
On equimultiple subvarieties of algebroid hypersurfaces. Zbl 0304.14008
Zariski, Oscar
1975
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
1971
Normal varieties and birational correspondences. Zbl 0063.08388
Zariski, Oscar
1942
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
1978
A fundamental inequality in the theory of extensions of valuations. Zbl 0079.05601
Cohen, I. S.; Zariski, Oscar
1957
Generalized semi-local rings. Zbl 0063.08392
Zariski, Oscar
1946
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.
1926
Collected papers. Volume II: Holomorphic functions and linear systems. Ed. by M. Artin and D. Mumford. Zbl 0564.14001
Zariski, Oscar
1973
Applicazioni geometriche della teoria delle valutazioni. Zbl 0055.38801
Zariski, Oscar
1954
Hilbert’s characteristic function and the arithmetic genus of an algebraic variety. Zbl 0041.08403
Muhly, H. T.; Zariski, O.
1950
Generalized weight properties of the resultant of $$n + 1$$ polynomials in $$n$$ indeterminates. JFM 63.0047.01
Zariski, O.
1937
Reducible exceptional curves of the first kind. Zbl 0010.37104
Barber, S. F.; Zariski, Oscar
1935
On the irregularity of cyclic multiple planes. JFM 57.0440.03
Zariski, O.
1931
Collected papers. Vol. I: Foundations of algebraic geometry and resolution of singularities. Edited by H. Hironaka and D. Mumford. Zbl 0234.14001
Zariski, Oscar
1972
The connectedness theorem for birational transformations. Zbl 0087.35601
Zariski, Oscar
1957
Splitting of valuations in extensions of local domains. I. Zbl 0064.27204
Abhyankar, Shreeram; Zariski, Oscar
1955
Generalized weight properties of the resultant of $$n+1$$ polynomials in $$n$$ indeterminates. Zbl 0016.10001
Zariski, Oscar
1937
On the non-existence of curves of order 8 with 16 cusps. JFM 57.0823.03
Zariski, O.
1931
On a theorem of Severi. JFM 54.0698.01
Zariski, O.
1928
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
1983
The elusive concept of equisingularity and related questions. Zbl 0422.14006
Zariski, Oscar
1977
Some open questions in the theory of singularities. Zbl 0241.14003
Zariski, Oscar
1972
A new operation (’saturation’) on local rings and applications to classification of singularities. Zbl 0154.20805
Zariski, O.
1966
La risoluzione delle singolarita delle superficie algebriche immerse. I, II. Zbl 0105.14301
Zariski, O.
1961
On differentials in function fields. Zbl 0100.03402
Zariski, Oscar; Falb, Peter
1961
Le problème de la réduction des singularités d’une variété algébrique. Zbl 0055.38802
Zariski, O.
1954
The fundamental ideas of abstract algebraic geometry. Zbl 0049.22701
Zariski, Oscar
1952
Algebraic varieties over ground fields of characteristic zero. JFM 66.0792.01
Zariski, O.
1940
The resolution of singularities of an algebraic curve. Zbl 0020.16001
Muhly, H. T.; Zariski, O.
1939
A topological proof of the Riemann-Roch theorem on an algebraic curve. Zbl 0013.07602
Zariski, Oscar
1936
Reducible exceptional curves of the first kind. JFM 61.0707.01
Barber, S. F.; Zariski, O.
1935
On the non-existence of curves of order 8 with 16 cusps. Zbl 0001.22604
Zariski, Oscar
1931
The moduli problem for plane branches. With an appendix by Bernard Teissier. Transl. from the French by Ben Lichtin. Zbl 1107.14021
Zariski, Oscar
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
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
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
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
1982
Foundations of a general theory of equisingularity on r-dimensional algebroid and algebraic varieties, of embedding dimension r+1. Zbl 0417.14008
Zariski, Oscar
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
1978
The elusive concept of equisingularity and related questions. Zbl 0422.14006
Zariski, Oscar
1977
Commutative algebra. Vol. II. Reprint of the 1958-1960 Van Nostrand edition. Zbl 0322.13001
Zariski, Oscar; Samuel, Pierre
1976
Commutative Algebra. Vol. 1. With the cooperation of I. S. Cohen. 2nd ed. Zbl 0313.13001
Zariski, Oscar; Samuel, Pierre
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
1975
On equimultiple subvarieties of algebroid hypersurfaces. Zbl 0304.14008
Zariski, Oscar
1975
Le problème des modules pour les branches planes. Redige par Francois Kmety et Michel Merle. Avec un appendice de Bernard Teissier. Zbl 0317.14004
Zariski, Oscar
1973
Collected papers. Volume II: Holomorphic functions and linear systems. Ed. by M. Artin and D. Mumford. Zbl 0564.14001
Zariski, Oscar
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
1972
Some open questions in the theory of singularities. Zbl 0241.14003
Zariski, Oscar
1972
Algebraic surfaces. With appendices by S.S. Abhyankar, J. Lipman, and D. Mumford. 2nd suplemented ed. Zbl 0219.14020
Zariski, O.
1971
Some open questions in the theory of singularities. Zbl 0236.14002
Zariski, Oscar
1971
General theory of saturation and of saturated local rings. II: Saturated local rings of dimension 1. Zbl 0228.13007
Zariski, Oscar
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
1971
Contributions to the problem of equisingularity. Zbl 0204.54503
Zariski, O.
1970
An introduction to the theory of algebraic surfaces. Zbl 0177.49001
Zariski, O.
1969
Studies in equisingularity. III: Saturation of local rings and equisingularity. Zbl 0189.21405
Zariski, O.
1968
Exceptional singularities of an algebroid surface and their reduction. Zbl 0168.18903
Zariski, O.
1967
Characterization of plane algebroid curves whose module of differentials has maxim torsion. Zbl 0144.20201
Zariski, O.
1966
A new operation (’saturation’) on local rings and applications to classification of singularities. Zbl 0154.20805
Zariski, O.
1966
Studies in equisingularity. I: Equivalent singularities of plane algebroid curves. Zbl 0132.41601
Zariski, O.
1965
Studies in equisingularity. II: Equisingularity in codimension 1 (and characteristic zero). Zbl 0146.42502
Zariski, O.
1965
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. Zbl 0121.27901
Zariski, O.; Samuel, P.
1963
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.
1963
The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface. Zbl 0124.37001
Zariski, Oscar
1962
La risoluzione delle singolarita delle superficie algebriche immerse. I, II. Zbl 0105.14301
Zariski, O.
1961
On differentials in function fields. Zbl 0100.03402
Zariski, Oscar; Falb, Peter
1961
Commutative algebra. Vol. II. Zbl 0121.27801
Zariski, Oscar; Samuel, Pierre
1960
Commutative algebra. Vol. 1. With the cooperation of I. S. Cohen. Zbl 0081.26501
Zariski, Oscar; Samuel, Pierre
1958
Introduction to the problem of minimal models in the theory of algebraic surfaces. Zbl 0093.33904
Zariski, Oscar
1958
On the purity of the branch locus of algebraic functions. Zbl 0087.35703
Zariski, Oscar
1958
On Castelnuovo’s criterion of rationality P$$_a$$=P$$_2$$=0 of an algebraic surface. Zbl 0085.36203
Zariski, Oscar
1958
The problem of minimal models in the theory of algebraic surfaces. Zbl 0085.36202
Zariski, Oscar
1958
A fundamental inequality in the theory of extensions of valuations. Zbl 0079.05601
Cohen, I. S.; Zariski, Oscar
1957
The connectedness theorem for birational transformations. Zbl 0087.35601
Zariski, Oscar
1957
Scientific report on the Second Summer Institute, Several Complex Variables. Part III: Algebraic sheaf theory. Zbl 0074.15703
Zariski, Oskar
1956
Splitting of valuations in extensions of local domains. I. Zbl 0064.27204
Abhyankar, Shreeram; Zariski, Oscar
1955
Interprétations algébrico-géométriques du quatorzième problème de Hilbert. Zbl 0056.39602
Zariski, O.
1954
Applicazioni geometriche della teoria delle valutazioni. Zbl 0055.38801
Zariski, Oscar
1954
Le problème de la réduction des singularités d’une variété algébrique. Zbl 0055.38802
Zariski, O.
1954
Complete linear systems on normal varieties and a generalization of a lemma of Enriques-Severi. Zbl 0047.14803
Zariski, Oscar
1952
The fundamental ideas of abstract algebraic geometry. Zbl 0049.22701
Zariski, Oscar
1952
Theory and applications of holomorpic functions on algebraic varieties over arbitrary ground fields. Zbl 0045.24001
Zariski, Oscar
1951
Sur la normalité analytique des variétés normales. Zbl 0044.26601
Zariski, Oscar
1950
Hilbert’s characteristic function and the arithmetic genus of an algebraic variety. Zbl 0041.08403
Muhly, H. T.; Zariski, O.
1950
A fundamental lemma from the theory of holomorphic functions on an algebraic variety. Zbl 0039.03301
Zariski, Oscar
1949
A simple analytical proof of a fundamental property of birational transformations. Zbl 0037.16401
Zariski, Oscar
1949
Analytical irreducibility of normal varieties. Zbl 0037.22701
Zariski, Oscar
1948
The concept of a simple point of an abstract algebraic variety. Zbl 0031.26101
Zariski, Oscar
1947
A new proof of Hilbert’s Nullstellensatz. Zbl 0032.26001
Zariski, Oscar
1947
Generalized semi-local rings. Zbl 0063.08392
Zariski, Oscar
1946
The compactness of the Riemann manifold of an abstract field of algebraic functions. Zbl 0063.08390
Zariski, Oscar
1944
Reduction of the singularities of algebraic three dimensional varieties. Zbl 0063.08361
Zariski, Oscar
1944
The theorem of Bertini on variable singular points of a linear system of varieties. Zbl 0061.33101
Zariski, Oscar
1944
Foundations of a general theory of birational correspondences. Zbl 0061.33004
Zariski, Oscar
1943
A simplified proof for the resolution of singularities of an algebraic surface. Zbl 0063.08389
Zariski, Oscar
1942
Normal varieties and birational correspondences. Zbl 0063.08388
Zariski, Oscar
1942
Pencils on an algebraic variety and a new proof of a theorem of Bertini. Zbl 0025.21502
Zariski, Oscar
1941
Pencils on an algebraic variety and a new proof of a theorem of Bertini. JFM 67.0618.01
Zariski, O.
1941
Local uniformization on algebraic varieties. JFM 66.1327.02
Zariski, O.
1940
Local uniformization on algebraic varieties. Zbl 0025.21601
Zariski, Oscar
1940
Algebraic varieties over ground fields of characteristic zero. Zbl 0022.30501
Zariski, Oscar
1940
Algebraic varieties over ground fields of characteristic zero. JFM 66.0792.01
Zariski, O.
1940
The reduction of the singularities of an algebraic surface. Zbl 0021.25303
Zariski, Oscar
1939
The reduction of the singularities of an algebraic surface. JFM 65.1399.03
Zariski, O.
1939
Some results in the arithmetic theory of algebraic varieties. JFM 65.0118.02
Zariski, O.
1939
Some results in the arithmetic theory of algebraic varieties. Zbl 0020.39101
Zariski, Oscar
1939
The resolution of singularities of an algebraic curve. Zbl 0020.16001
Muhly, H. T.; Zariski, O.
1939
Polynomial ideals defined by infinitely near base points. Zbl 0018.20101
Zariski, Oscar
1938
Polynomial ideals defined by infinitely near base points. JFM 64.0079.01
Zariski, O.
1938
The topological discriminant group of a Riemann surface of genus p. Zbl 0016.32502
Zariski, Oscar
1937
A theorem on the Poincaré group of an algebraic hypersurface. Zbl 0016.04102
Zariski, Oscar
1937
The topological discriminant group of a Riemann surface of genus $$p$$. JFM 63.0338.02
Zariski, O.
1937
A theorem on the Poincaré group of an algebraic hypersurface. JFM 63.0621.03
Zariski, O.
1937
Generalized weight properties of the resultant of $$n + 1$$ polynomials in $$n$$ indeterminates. JFM 63.0047.01
Zariski, O.
1937
Generalized weight properties of the resultant of $$n+1$$ polynomials in $$n$$ indeterminates. Zbl 0016.10001
Zariski, Oscar
1937
On the Poincaré group of rational plane curves. Zbl 0014.32801
Zariski, Oscar
1936
On the Poincaré group of rational plane curves. JFM 62.0758.02
Zariski, O.
1936
A topological proof of the Riemann-Roch theorem on an algebraic curve. Zbl 0013.07602
Zariski, Oscar
1936
Algebraic surfaces. JFM 61.0704.01
Zariski, O.
1935
Algebraic surfaces. Zbl 0010.37103
Zariski, O.
1935
Reducible exceptional curves of the first kind. Zbl 0010.37104
Barber, S. F.; Zariski, Oscar
1935
Reducible exceptional curves of the first kind. JFM 61.0707.01
Barber, S. F.; Zariski, O.
1935
On the topology of algebroid singularities. JFM 58.0614.02
Zariski, O.
1932
On the topology of algebroid singularities. Zbl 0004.36902
Zariski, Oscar
1932
On a theorem of Eddington. JFM 58.0105.02
Zariski, O.
1932
On the irregularity of cyclic multiple planes. Zbl 0001.40301
Zariski, Oscar
1931
On the irregularity of cyclic multiple planes. JFM 57.0440.03
Zariski, O.
1931
On the non-existence of curves of order 8 with 16 cusps. JFM 57.0823.03
Zariski, O.
1931
On the non-existence of curves of order 8 with 16 cusps. Zbl 0001.22604
Zariski, Oscar
1931
On the problem of existence of algebraic functions of two variables possessing a given branch curve. JFM 55.0806.01
Zariski, O.
1929
On the linear connection index of the algebraic surfaces $$z^n=f(x,y)$$. JFM 55.0806.02
Zariski, O.
1929
On a theorem of Severi. JFM 54.0698.01
Zariski, O.
1928
On hyperelliptic $$\varTheta$$-functions with rational characteristics. JFM 54.0410.05
Zariski, O.
1928
...and 1 more Documents
all top 5

#### Cited by 2,318 Authors

 61 Heinzer, William J. 33 Gilmer, Robert W. jun. 33 Ratliff, Louis J. jun. 31 Abhyankar, Shreeram Shankar 31 Cutkosky, Steven Dale 20 Artal Bartolo, Enrique 18 Dobbs, David Earl 17 Olberding, Bruce M. 16 Fontana, Marco 16 Kuhlmann, Franz-Viktor 16 Rush, David E. 15 Mordeson, John N. 14 Nobile, Augusto 13 Eyral, Christophe 13 Galindo Pastor, Carlos 13 Oka, Mutsuo 13 Warner, Seth 11 Tokunaga, Hiro-o 11 Villamayor Uriburu, Orlando Eugenio 10 Cogolludo Agustín, José Ignacio 10 Spivakovsky, Mark 10 Verma, Jugal Kishore 10 Vogel, Wolfgang 9 Campillo, Antonio 9 Ciliberto, Ciro 9 Finocchiaro, Carmelo Antonio 9 Gonçalves, Daciberg Lima 9 Greco, Silvio 9 Guaschi, John 9 Kang, Ming-Chang 9 Parusiński, Adam 9 Piltant, Olivier 9 Teicher, Mina 9 Vasconcelos, Wolmer V. 9 Yau, Stephen Shing-Toung 8 Brown, William C. 8 Degtyarev, Alex 8 Hernandes, Marcelo Escudeiro 8 Hochster, Melvin 8 Lê Dûng Tráng 8 Marchionna, Ermanno 8 O’Carroll, Liam 8 Ohm, Jack 8 Spirito, Dario 7 Becker, Joseph A. 7 Boucksom, Sébastien 7 Chistov, Alexandre L. 7 Eakin, Paul M. jun. 7 Favre, Charles 7 García Barroso, Evelia Rosa 7 González Pérez, Pedro Daniel 7 Greuel, Gert-Martin 7 Gurjar, Rajendra Vasant 7 Harbourne, Brian 7 Jonsson, Mattias 7 Kim, Mee-Kyoung 7 Kiyek, Karl-Heinz 7 Monserrat, Francisco 7 Mott, Joe Leonard 7 Reguera, Ana-José 7 Teissier, Bernard 7 Van Tuyl, Adam 6 Delgado, Felix 6 Hefez, Abramo 6 Herrmann, Manfred 6 Huneke, Craig L. 6 Kleiman, Steven Lawrence 6 Kuhlmann, Norbert 6 Kulikov, Viktor Stepanovich 6 Kuroda, Shigeru 6 Küronya, Alex 6 Libgober, Anatoly S. 6 Loper, Kenneth Alan 6 Luengo, Ignacio 6 Ngô Viêt Trung 6 Noh, Sunsook 6 Popescu-Pampu, Patrick 6 Risler, Jean-Jacques 6 Rosenberg, Alex 6 Sampaio, José Edson 6 Samuel, Pierre 6 Schicho, Josef 6 Shustin, Eugenii Isaakovich 6 Simis, Aron 6 Stückrad, Jürgen 6 Zariski, Oscar 5 Baldassarri Ghezzo, Santuzza 5 Bouchiba, Samir 5 Butts, Hubert S. 5 Cossart, Vincent 5 Daigle, Daniel 5 Debremaeker, Raymond 5 Elias, Juan 5 Geramita, Anthony Vito 5 Granja, Angel 5 Guardo, Elena 5 Guo, Kunyu 5 Hauser, Herwig 5 Herzog, Jürgen 5 Jensen, Christian Ulrik ...and 2,218 more Authors
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#### Cited in 277 Serials

 344 Journal of Algebra 181 Transactions of the American Mathematical Society 153 Proceedings of the American Mathematical Society 150 Journal of Pure and Applied Algebra 147 Mathematische Annalen 79 Communications in Algebra 77 Inventiones Mathematicae 71 Mathematische Zeitschrift 60 Compositio Mathematica 55 Advances in Mathematics 54 Manuscripta Mathematica 49 Archiv der Mathematik 40 Annali di Matematica Pura ed Applicata. Serie Quarta 38 Annales de l’Institut Fourier 38 Journal of Symbolic Computation 35 Bulletin de la Société Mathématique de France 35 Rendiconti del Seminario Matematico della Università di Padova 27 Bulletin of the American Mathematical Society 23 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 19 Israel Journal of Mathematics 19 Mathematical Notes 19 Journal of Number Theory 19 Bulletin of the American Mathematical Society. New Series 18 Nagoya Mathematical Journal 17 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 16 Topology and its Applications 16 International Journal of Mathematics 16 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 16 Journal of Algebraic Geometry 15 Journal of Mathematical Sciences (New York) 14 Algebra and Logic 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 13 Monatshefte für Mathematik 13 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 12 Rocky Mountain Journal of Mathematics 12 Fuzzy Sets and Systems 12 Rendiconti del Circolo Matemàtico di Palermo. Serie II 12 Rendiconti del Seminario Matemàtico e Fisico di Milano 11 Journal für die Reine und Angewandte Mathematik 11 Michigan Mathematical Journal 11 Bulletin de la Société Mathématique de France. Supplément. Mémoires 10 Journal of Algebra and its Applications 10 Journal of Commutative Algebra 9 Journal of the Mathematical Society of Japan 9 Tohoku Mathematical Journal. Second Series 9 Transformation Groups 9 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 8 Czechoslovak Mathematical Journal 8 Functional Analysis and its Applications 8 Siberian Mathematical Journal 8 Journal of Knot Theory and its Ramifications 7 Discrete Mathematics 7 Arkiv för Matematik 7 Geometriae Dedicata 7 Journal of Soviet Mathematics 7 Results in Mathematics 7 Computer Aided Geometric Design 7 Revista Matemática Iberoamericana 7 Finite Fields and their Applications 7 Proceedings of the Japan Academy 6 Astronomische Nachrichten 6 Bulletin of the Australian Mathematical Society 6 Journal of Mathematical Analysis and Applications 6 Acta Mathematica 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Journal of Functional Analysis 6 Kodai Mathematical Journal 6 Mathematische Nachrichten 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Applicable Algebra in Engineering, Communication and Computing 6 Geometry & Topology 6 Revista Matemática Complutense 6 European Journal of Mathematics 5 Archive for History of Exact Sciences 5 Algebra Universalis 5 Journal of Combinatorial Theory. Series A 5 Journal of Differential Equations 5 Mathematica Slovaca 5 Memoirs of the American Mathematical Society 5 Osaka Journal of Mathematics 5 Journal of the American Mathematical Society 5 Designs, Codes and Cryptography 5 Expositiones Mathematicae 5 St. Petersburg Mathematical Journal 5 Selecta Mathematica. New Series 5 Annals of Mathematics. Second Series 5 Algebraic & Geometric Topology 5 Bulletin of the Brazilian Mathematical Society. New Series 5 Journal of Singularities 4 Mathematics of Computation 4 Beiträge zur Algebra und Geometrie 4 Acta Mathematica Vietnamica 4 Applied Mathematics and Computation 4 Collectanea Mathematica ...and 177 more Serials
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#### Cited in 56 Fields

 1,177 Algebraic geometry (14-XX) 981 Commutative algebra (13-XX) 320 Several complex variables and analytic spaces (32-XX) 221 Field theory and polynomials (12-XX) 163 Associative rings and algebras (16-XX) 159 Group theory and generalizations (20-XX) 156 Number theory (11-XX) 101 Manifolds and cell complexes (57-XX) 58 Computer science (68-XX) 48 Mathematical logic and foundations (03-XX) 48 Linear and multilinear algebra; matrix theory (15-XX) 44 Nonassociative rings and algebras (17-XX) 38 Functional analysis (46-XX) 37 Global analysis, analysis on manifolds (58-XX) 35 Dynamical systems and ergodic theory (37-XX) 32 Algebraic topology (55-XX) 31 Combinatorics (05-XX) 29 Differential geometry (53-XX) 28 Category theory; homological algebra (18-XX) 28 Functions of a complex variable (30-XX) 26 Systems theory; control (93-XX) 26 Information and communication theory, circuits (94-XX) 23 Convex and discrete geometry (52-XX) 23 Numerical analysis (65-XX) 22 Topological groups, Lie groups (22-XX) 21 Ordinary differential equations (34-XX) 20 Order, lattices, ordered algebraic structures (06-XX) 19 History and biography (01-XX) 16 General algebraic systems (08-XX) 15 Geometry (51-XX) 13 Approximations and expansions (41-XX) 12 Real functions (26-XX) 11 $$K$$-theory (19-XX) 11 Quantum theory (81-XX) 10 General topology (54-XX) 9 Operator theory (47-XX) 8 Partial differential equations (35-XX) 7 Special functions (33-XX) 6 Difference and functional equations (39-XX) 5 Integral transforms, operational calculus (44-XX) 4 Abstract harmonic analysis (43-XX) 4 Mechanics of particles and systems (70-XX) 4 Relativity and gravitational theory (83-XX) 3 Measure and integration (28-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 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operations research, mathematical programming (90-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

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