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Author ID: zariski.oscar Recent zbMATH articles by "Zariski, Oscar"
Published as: Zariski, Oscar; Zariski, O.; Zariski, Oskar
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

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 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

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 3,334 times in 2,674 Documents Cited by Year
Commutative algebra. Vol. II. Zbl 0121.27801
Zariski, Oscar; Samuel, Pierre
606
1960
Commutative algebra. Vol. 1. With the cooperation of I. S. Cohen. Zbl 0081.26501
Zariski, Oscar; Samuel, Pierre
400
1958
Commutative algebra. Vol. II. Reprint of the 1958-1960 Van Nostrand edition. Zbl 0322.13001
Zariski, Oscar; Samuel, Pierre
194
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 0121.27901
Zariski, O.; Samuel, P.
173
1963
The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface. Zbl 0124.37001
Zariski, Oscar
131
1962
Studies in equisingularity. I: Equivalent singularities of plane algebroid curves. Zbl 0132.41601
Zariski, O.
118
1965
Commutative Algebra. Vol. 1. With the cooperation of I. S. Cohen. 2nd ed. Zbl 0313.13001
Zariski, Oscar; Samuel, Pierre
116
1975
On the problem of existence of algebraic functions of two variables possessing a given branch curve. JFM 55.0806.01
Zariski, O.
110
1929
Algebraic surfaces. With appendices by S.S. Abhyankar, J. Lipman, and D. Mumford. 2nd suplemented ed. Zbl 0219.14020
Zariski, O.
78
1971
Some open questions in the theory of singularities. Zbl 0236.14002
Zariski, Oscar
62
1971
Studies in equisingularity. II: Equisingularity in codimension 1 (and characteristic zero). Zbl 0146.42502
Zariski, O.
56
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.
51
1963
The reduction of the singularities of an algebraic surface. JFM 65.1399.03
Zariski, O.
48
1939
Studies in equisingularity. III: Saturation of local rings and equisingularity. Zbl 0189.21405
Zariski, O.
47
1968
Local uniformization on algebraic varieties. JFM 66.1327.02
Zariski, O.
43
1940
On the purity of the branch locus of algebraic functions. Zbl 0087.35703
Zariski, Oscar
40
1958
Introduction to the problem of minimal models in the theory of algebraic surfaces. Zbl 0093.33904
Zariski, Oscar
40
1958
Interprétations algébrico-géométriques du quatorzième problème de Hilbert. Zbl 0056.39602
Zariski, O.
39
1954
On the topology of algebroid singularities. JFM 58.0614.02
Zariski, O.
37
1932
The concept of a simple point of an abstract algebraic variety. Zbl 0031.26101
Zariski, Oscar
37
1947
The reduction of the singularities of an algebraic surface. Zbl 0021.25303
Zariski, Oscar
32
1939
Foundations of a general theory of birational correspondences. Zbl 0061.33004
Zariski, Oscar
31
1943
Polynomial ideals defined by infinitely near base points. Zbl 0018.20101
Zariski, Oscar
30
1938
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
28
1973
The compactness of the Riemann manifold of an abstract field of algebraic functions. Zbl 0063.08390
Zariski, Oscar
28
1944
Reduction of the singularities of algebraic three dimensional varieties. Zbl 0063.08361
Zariski, Oscar
27
1944
On Castelnuovo’s criterion of rationality P\(_a\)=P\(_2\)=0 of an algebraic surface. Zbl 0085.36203
Zariski, Oscar
27
1958
On the irregularity of cyclic multiple planes. Zbl 0001.40301
Zariski, Oscar
26
1931
Local uniformization on algebraic varieties. Zbl 0025.21601
Zariski, Oscar
26
1940
Algebraic surfaces. Zbl 0010.37103
Zariski, O.
25
1935
Algebraic surfaces. JFM 61.0704.01
Zariski, O.
24
1935
Characterization of plane algebroid curves whose module of differentials has maxim torsion. Zbl 0144.20201
Zariski, O.
23
1966
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
23
1982
On the topology of algebroid singularities. Zbl 0004.36902
Zariski, Oscar
22
1932
A simplified proof for the resolution of singularities of an algebraic surface. Zbl 0063.08389
Zariski, Oscar
22
1942
The topological discriminant group of a Riemann surface of genus p. Zbl 0016.32502
Zariski, Oscar
21
1937
Polynomial ideals defined by infinitely near base points. JFM 64.0079.01
Zariski, O.
20
1938
The problem of minimal models in the theory of algebraic surfaces. Zbl 0085.36202
Zariski, Oscar
20
1958
General theory of saturation and of saturated local rings. II: Saturated local rings of dimension 1. Zbl 0228.13007
Zariski, Oscar
19
1971
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
19
1986
A theorem on the Poincaré group of an algebraic hypersurface. Zbl 0016.04102
Zariski, Oscar
19
1937
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
19
1951
Complete linear systems on normal varieties and a generalization of a lemma of Enriques-Severi. Zbl 0047.14803
Zariski, Oscar
19
1952
The theorem of Bertini on variable singular points of a linear system of varieties. Zbl 0061.33101
Zariski, Oscar
19
1944
On the Poincaré group of rational plane curves. Zbl 0014.32801
Zariski, Oscar
16
1936
Analytical irreducibility of normal varieties. Zbl 0037.22701
Zariski, Oscar
16
1948
The topological discriminant group of a Riemann surface of genus \(p\). JFM 63.0338.02
Zariski, O.
14
1937
An introduction to the theory of algebraic surfaces. Zbl 0177.49001
Zariski, O.
14
1969
The moduli problem for plane branches. With an appendix by Bernard Teissier. Transl. from the French by Ben Lichtin. Zbl 1107.14021
Zariski, Oscar
14
2006
On the linear connection index of the algebraic surfaces \(z^n=f(x,y)\). JFM 55.0806.02
Zariski, O.
13
1929
Contributions to the problem of equisingularity. Zbl 0204.54503
Zariski, O.
13
1970
A new proof of Hilbert’s Nullstellensatz. Zbl 0032.26001
Zariski, Oscar
13
1947
On the Poincaré group of rational plane curves. JFM 62.0758.02
Zariski, O.
12
1936
A fundamental lemma from the theory of holomorphic functions on an algebraic variety. Zbl 0039.03301
Zariski, Oscar
12
1949
Pencils on an algebraic variety and a new proof of a theorem of Bertini. JFM 67.0618.01
Zariski, O.
10
1941
Some results in the arithmetic theory of algebraic varieties. JFM 65.0118.02
Zariski, O.
10
1939
Exceptional singularities of an algebroid surface and their reduction. Zbl 0168.18903
Zariski, O.
10
1967
A theorem on the Poincaré group of an algebraic hypersurface. JFM 63.0621.03
Zariski, O.
9
1937
Foundations of a general theory of equisingularity on r-dimensional algebroid and algebraic varieties, of embedding dimension r+1. Zbl 0417.14008
Zariski, Oscar
9
1979
On a theorem of Eddington. JFM 58.0105.02
Zariski, O.
9
1932
Sur la normalité analytique des variétés normales. Zbl 0044.26601
Zariski, Oscar
8
1950
Scientific report on the Second Summer Institute, Several Complex Variables. Part III: Algebraic sheaf theory. Zbl 0074.15703
Zariski, Oskar
8
1956
Some results in the arithmetic theory of algebraic varieties. Zbl 0020.39101
Zariski, Oscar
7
1939
On the irregularity of cyclic multiple planes. JFM 57.0440.03
Zariski, O.
6
1931
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
6
1971
On equimultiple subvarieties of algebroid hypersurfaces. Zbl 0304.14008
Zariski, Oscar
6
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
6
1975
Algebraic varieties over ground fields of characteristic zero. Zbl 0022.30501
Zariski, Oscar
6
1940
A simple analytical proof of a fundamental property of birational transformations. Zbl 0037.16401
Zariski, Oscar
6
1949
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
Normal varieties and birational correspondences. Zbl 0063.08388
Zariski, Oscar
5
1942
A fundamental inequality in the theory of extensions of valuations. Zbl 0079.05601
Cohen, I. S.; Zariski, Oscar
5
1957
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
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
4
1978
Generalized weight properties of the resultant of \(n + 1\) polynomials in \(n\) indeterminates. JFM 63.0047.01
Zariski, O.
3
1937
Applicazioni geometriche della teoria delle valutazioni. Zbl 0055.38801
Zariski, Oscar
3
1954
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
Collected papers. Vol. I: Foundations of algebraic geometry and resolution of singularities. Edited by H. Hironaka and D. Mumford. Zbl 0234.14001
Zariski, Oscar
2
1972
Reducible exceptional curves of the first kind. Zbl 0010.37104
Barber, S. F.; Zariski, Oscar
2
1935
Generalized weight properties of the resultant of \(n+1\) polynomials in \(n\) indeterminates. Zbl 0016.10001
Zariski, Oscar
2
1937
Hilbert’s characteristic function and the arithmetic genus of an algebraic variety. Zbl 0041.08403
Muhly, H. T.; Zariski, O.
2
1950
Generalized semi-local rings. Zbl 0063.08392
Zariski, Oscar
2
1946
Splitting of valuations in extensions of local domains. I. Zbl 0064.27204
Abhyankar, Shreeram; Zariski, Oscar
2
1955
The connectedness theorem for birational transformations. Zbl 0087.35601
Zariski, Oscar
2
1957
Collected papers. Volume II: Holomorphic functions and linear systems. Ed. by M. Artin and D. Mumford. Zbl 0564.14001
Zariski, Oscar
1
1973
Algebraic varieties over ground fields of characteristic zero. JFM 66.0792.01
Zariski, O.
1
1940
On the irregularity of cyclic multiple planes. JFM 57.0830.13
Zariski, O.
1
1931
On hyperelliptic \(\varTheta\)-functions with rational characteristics. JFM 54.0410.05
Zariski, O.
1
1928
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
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
A new operation (’saturation’) on local rings and applications to classification of singularities. Zbl 0154.20805
Zariski, O.
1
1966
The elusive concept of equisingularity and related questions. Zbl 0422.14006
Zariski, Oscar
1
1977
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
1
1980
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
Some open questions in the theory of singularities. Zbl 0241.14003
Zariski, Oscar
1
1972
The moduli problem for plane branches. With an appendix by Bernard Teissier. Transl. from the French by Ben Lichtin. Zbl 1107.14021
Zariski, Oscar
14
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
19
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
23
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
1
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
9
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
4
1978
The elusive concept of equisingularity and related questions. Zbl 0422.14006
Zariski, Oscar
1
1977
Commutative algebra. Vol. II. Reprint of the 1958-1960 Van Nostrand edition. Zbl 0322.13001
Zariski, Oscar; Samuel, Pierre
194
1976
Commutative Algebra. Vol. 1. With the cooperation of I. S. Cohen. 2nd ed. Zbl 0313.13001
Zariski, Oscar; Samuel, Pierre
116
1975
On equimultiple subvarieties of algebroid hypersurfaces. Zbl 0304.14008
Zariski, Oscar
6
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
6
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
28
1973
Collected papers. Volume II: Holomorphic functions and linear systems. Ed. by M. Artin and D. Mumford. Zbl 0564.14001
Zariski, Oscar
1
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
2
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.
78
1971
Some open questions in the theory of singularities. Zbl 0236.14002
Zariski, Oscar
62
1971
General theory of saturation and of saturated local rings. II: Saturated local rings of dimension 1. Zbl 0228.13007
Zariski, Oscar
19
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
6
1971
Contributions to the problem of equisingularity. Zbl 0204.54503
Zariski, O.
13
1970
An introduction to the theory of algebraic surfaces. Zbl 0177.49001
Zariski, O.
14
1969
Studies in equisingularity. III: Saturation of local rings and equisingularity. Zbl 0189.21405
Zariski, O.
47
1968
Exceptional singularities of an algebroid surface and their reduction. Zbl 0168.18903
Zariski, O.
10
1967
Characterization of plane algebroid curves whose module of differentials has maxim torsion. Zbl 0144.20201
Zariski, O.
23
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.
118
1965
Studies in equisingularity. II: Equisingularity in codimension 1 (and characteristic zero). Zbl 0146.42502
Zariski, O.
56
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. (Коммутативная алгтебра. Том II.) Zbl 0121.27901
Zariski, O.; Samuel, P.
173
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.
51
1963
The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface. Zbl 0124.37001
Zariski, Oscar
131
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
606
1960
Commutative algebra. Vol. 1. With the cooperation of I. S. Cohen. Zbl 0081.26501
Zariski, Oscar; Samuel, Pierre
400
1958
On the purity of the branch locus of algebraic functions. Zbl 0087.35703
Zariski, Oscar
40
1958
Introduction to the problem of minimal models in the theory of algebraic surfaces. Zbl 0093.33904
Zariski, Oscar
40
1958
On Castelnuovo’s criterion of rationality P\(_a\)=P\(_2\)=0 of an algebraic surface. Zbl 0085.36203
Zariski, Oscar
27
1958
The problem of minimal models in the theory of algebraic surfaces. Zbl 0085.36202
Zariski, Oscar
20
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.
39
1954
Applicazioni geometriche della teoria delle valutazioni. Zbl 0055.38801
Zariski, Oscar
3
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
19
1952
The fundamental ideas of abstract algebraic geometry. Zbl 0049.22701
Zariski, Oscar
1
1952
Theory and applications of holomorpic functions on algebraic varieties over arbitrary ground fields. Zbl 0045.24001
Zariski, Oscar
19
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
12
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
16
1948
The concept of a simple point of an abstract algebraic variety. Zbl 0031.26101
Zariski, Oscar
37
1947
A new proof of Hilbert’s Nullstellensatz. Zbl 0032.26001
Zariski, Oscar
13
1947
Generalized semi-local rings. Zbl 0063.08392
Zariski, Oscar
2
1946
The compactness of the Riemann manifold of an abstract field of algebraic functions. Zbl 0063.08390
Zariski, Oscar
28
1944
Reduction of the singularities of algebraic three dimensional varieties. Zbl 0063.08361
Zariski, Oscar
27
1944
The theorem of Bertini on variable singular points of a linear system of varieties. Zbl 0061.33101
Zariski, Oscar
19
1944
Foundations of a general theory of birational correspondences. Zbl 0061.33004
Zariski, Oscar
31
1943
A simplified proof for the resolution of singularities of an algebraic surface. Zbl 0063.08389
Zariski, Oscar
22
1942
Normal varieties and birational correspondences. Zbl 0063.08388
Zariski, Oscar
5
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.
10
1941
Local uniformization on algebraic varieties. JFM 66.1327.02
Zariski, O.
43
1940
Local uniformization on algebraic varieties. Zbl 0025.21601
Zariski, Oscar
26
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.
48
1939
The reduction of the singularities of an algebraic surface. Zbl 0021.25303
Zariski, Oscar
32
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
7
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
30
1938
Polynomial ideals defined by infinitely near base points. JFM 64.0079.01
Zariski, O.
20
1938
The topological discriminant group of a Riemann surface of genus p. Zbl 0016.32502
Zariski, Oscar
21
1937
A theorem on the Poincaré group of an algebraic hypersurface. Zbl 0016.04102
Zariski, Oscar
19
1937
The topological discriminant group of a Riemann surface of genus \(p\). JFM 63.0338.02
Zariski, O.
14
1937
A theorem on the Poincaré group of an algebraic hypersurface. JFM 63.0621.03
Zariski, O.
9
1937
Generalized weight properties of the resultant of \(n + 1\) polynomials in \(n\) indeterminates. JFM 63.0047.01
Zariski, O.
3
1937
Generalized weight properties of the resultant of \(n+1\) polynomials in \(n\) indeterminates. Zbl 0016.10001
Zariski, Oscar
2
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.
25
1935
Algebraic surfaces. JFM 61.0704.01
Zariski, O.
24
1935
Reducible exceptional curves of the first kind. JFM 61.0707.01
Barber, S. F.; Zariski, O.
2
1935
Reducible exceptional curves of the first kind. Zbl 0010.37104
Barber, S. F.; Zariski, Oscar
2
1935
On the topology of algebroid singularities. JFM 58.0614.02
Zariski, O.
37
1932
On the topology of algebroid singularities. Zbl 0004.36902
Zariski, Oscar
22
1932
On a theorem of Eddington. JFM 58.0105.02
Zariski, O.
9
1932
On the irregularity of cyclic multiple planes. Zbl 0001.40301
Zariski, Oscar
26
1931
On the irregularity of cyclic multiple planes. JFM 57.0440.03
Zariski, O.
6
1931
On the non-existence of curves of order 8 with 16 cusps. JFM 57.0823.03
Zariski, O.
2
1931
On the irregularity of cyclic multiple planes. JFM 57.0830.13
Zariski, O.
1
1931
On the non-existence of curves of order 8 with 16 cusps. Zbl 0001.22604
Zariski, Oscar
1
1931
On the problem of existence of algebraic functions of two variables possessing a given branch curve. JFM 55.0806.01
Zariski, O.
110
1929
On the linear connection index of the algebraic surfaces \(z^n=f(x,y)\). JFM 55.0806.02
Zariski, O.
13
1929
...and 5 more Documents
all top 5

Cited by 2,252 Authors

55 Heinzer, William J.
32 Cutkosky, Steven Dale
29 Abhyankar, Shreeram Shankar
29 Ratliff, Louis J. jun.
26 Gilmer, Robert W. jun.
22 Artal Bartolo, Enrique
18 Kuhlmann, Franz-Viktor
17 Olberding, Bruce M.
16 Dobbs, David Earl
16 Rush, David E.
14 Eyral, Christophe
14 Fontana, Marco
14 Nobile, Augusto
13 Galindo Pastor, Carlos
13 Mordeson, John N.
13 Oka, Mutsuo
13 Warner, Seth
12 Cogolludo Agustín, José Ignacio
11 Sampaio, José Edson
11 Spivakovsky, Mark
11 Tokunaga, Hiro-o
10 Lê Dûng Tráng
10 Parusiński, Adam
10 Piltant, Olivier
10 Spirito, Dario
10 Teicher, Mina
10 Teissier, Bernard
9 Campillo, Antonio
9 Ciliberto, Ciro
9 Finocchiaro, Carmelo Antonio
9 Gonçalves, Daciberg Lima
9 Greco, Silvio
9 Guaschi, John
9 Hernandes, Marcelo Escudeiro
9 Kang, Ming-Chang
9 Verma, Jugal Kishore
9 Villamayor Uriburu, Orlando Eugenio
9 Yau, Stephen Shing-Toung
8 Degtyarev, Alex
8 García Barroso, Evelia Rosa
8 González Pérez, Pedro Daniel
8 Gurjar, Rajendra Vasant
8 Marchionna, Ermanno
8 Monserrat, Francisco
8 Reguera, Ana-José
8 Shustin, Eugenii Isaakovich
8 Vasconcelos, Wolmer V.
7 Boucksom, Sébastien
7 Brown, William C.
7 Chistov, Alexandre L.
7 Favre, Charles
7 Greuel, Gert-Martin
7 Jonsson, Mattias
7 Kim, Mee-Kyoung
7 Kiyek, Karl-Heinz
7 Küronya, Alex
7 Libgober, Anatoly S.
7 Mott, Joe Leonard
7 O’Carroll, Liam
7 Ohm, Jack
7 Popescu-Pampu, Patrick
7 Vogel, Wolfgang
6 Becker, Joseph A.
6 Debremaeker, Raymond
6 Guerville-Ballé, Benoît
6 Harbourne, Brian
6 Hauser, Herwig
6 Hefez, Abramo
6 Hochster, Melvin
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 Ngô Viêt Trung
6 Noh, Sunsook
6 Nuño-Ballesteros, Juan José
6 Pfister, Gerhard
6 Risler, Jean-Jacques
6 Schicho, Josef
6 Van Tuyl, Adam
6 Zaidenberg, Mikhail G.
6 Zariski, Oscar
5 Alling, Norman Larrabee
5 Amram, Meirav
5 Baldassarri Ghezzo, Santuzza
5 Bouchiba, Samir
5 Butts, Hubert S.
5 Cossart, Vincent
5 Daigle, Daniel
5 Delgado, Felix
5 Eakin, Paul M. jun.
5 Granja, Angel
5 Grifo, Eloísa
5 Guo, Kunyu
5 Herrmann, Manfred
5 Herzog, Jürgen
5 Huneke, Craig L.
...and 2,152 more Authors
all top 5

Cited in 291 Serials

236 Journal of Algebra
183 Transactions of the American Mathematical Society
154 Proceedings of the American Mathematical Society
147 Mathematische Annalen
139 Journal of Pure and Applied Algebra
80 Communications in Algebra
80 Mathematische Zeitschrift
77 Inventiones Mathematicae
63 Compositio Mathematica
54 Manuscripta Mathematica
50 Archiv der Mathematik
43 Advances in Mathematics
40 Annales de l’Institut Fourier
37 Annali di Matematica Pura ed Applicata. Serie Quarta
37 Rendiconti del Seminario Matematico della Università di Padova
35 Bulletin de la Société Mathématique de France
32 Journal of Symbolic Computation
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
21 Publications Mathématiques
20 Israel Journal of Mathematics
20 Linear Algebra and its Applications
19 Mathematical Notes
19 Bulletin of the American Mathematical Society. New Series
18 Nagoya Mathematical Journal
18 Topology and its Applications
17 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
17 Journal of Algebraic Geometry
16 International Journal of Mathematics
16 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
16 Journal of Mathematical Sciences (New York)
15 Journal of Algebra and its Applications
14 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
14 Algebra and Logic
14 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
13 Rocky Mountain Journal of Mathematics
13 Monatshefte für Mathematik
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Journal of Number Theory
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 Transformation Groups
10 Journal of Commutative Algebra
9 Fuzzy Sets and Systems
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. Ser
8 Czechoslovak Mathematical Journal
8 Functional Analysis and its Applications
8 Siberian Mathematical Journal
8 Journal of Knot Theory and its Ramifications
8 European Journal of Mathematics
7 Arkiv för Matematik
7 Acta Mathematica
7 Geometriae Dedicata
7 Journal of Soviet Mathematics
7 Memoirs of the American Mathematical Society
7 Revista Matemática Iberoamericana
7 Applicable Algebra in Engineering, Communication and Computing
7 Finite Fields and their Applications
7 Revista Matemática Complutense
7 Proceedings of the Japan Academy
6 Astronomische Nachrichten
6 Bulletin of the Australian Mathematical Society
6 Journal of Mathematical Analysis and Applications
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
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 Computer Aided Geometric Design
6 Geometry & Topology
6 Journal of Singularities
5 Archive for History of Exact Sciences
5 Discrete Mathematics
5 Mathematics of Computation
5 Beiträge zur Algebra und Geometrie
5 Algebra Universalis
5 Mathematica Slovaca
5 Osaka Journal of Mathematics
5 Journal of the American Mathematical Society
5 International Journal of Algebra and Computation
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
4 Communications in Mathematical Physics
4 Acta Mathematica Vietnamica
4 Collectanea Mathematica
4 Journal of Differential Equations
4 Mathematika
...and 191 more Serials
all top 5

Cited in 55 Fields

1,212 Algebraic geometry (14-XX)
926 Commutative algebra (13-XX)
362 Several complex variables and analytic spaces (32-XX)
216 Field theory and polynomials (12-XX)
149 Number theory (11-XX)
149 Group theory and generalizations (20-XX)
143 Associative rings and algebras (16-XX)
107 Manifolds and cell complexes (57-XX)
49 Computer science (68-XX)
42 Linear and multilinear algebra; matrix theory (15-XX)
42 Nonassociative rings and algebras (17-XX)
41 Mathematical logic and foundations (03-XX)
37 Global analysis, analysis on manifolds (58-XX)
34 Functional analysis (46-XX)
32 Algebraic topology (55-XX)
30 Dynamical systems and ergodic theory (37-XX)
27 Category theory; homological algebra (18-XX)
27 Functions of a complex variable (30-XX)
26 Combinatorics (05-XX)
26 Convex and discrete geometry (52-XX)
26 Differential geometry (53-XX)
22 Systems theory; control (93-XX)
21 Topological groups, Lie groups (22-XX)
21 Information and communication theory, circuits (94-XX)
18 History and biography (01-XX)
18 Numerical analysis (65-XX)
17 Order, lattices, ordered algebraic structures (06-XX)
17 Ordinary differential equations (34-XX)
16 General algebraic systems (08-XX)
13 \(K\)-theory (19-XX)
13 Real functions (26-XX)
13 General topology (54-XX)
13 Quantum theory (81-XX)
12 Approximations and expansions (41-XX)
12 Geometry (51-XX)
11 Operator theory (47-XX)
9 Special functions (33-XX)
8 Partial differential equations (35-XX)
7 Difference and functional equations (39-XX)
5 Relativity and gravitational theory (83-XX)
4 Measure and integration (28-XX)
4 Integral transforms, operational calculus (44-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)
2 Statistics (62-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Sequences, series, summability (40-XX)
1 Mechanics of deformable solids (74-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)
1 Mathematics education (97-XX)

Citations by Year

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