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Author ID: hironaka.heisuke Recent zbMATH articles by "Hironaka, Heisuke"
Published as: Hironaka, Heisuke; Hironaka, H.; Iss’sa, Hej
Further Spellings: 広中 平祐
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Awards: Fields Medal (1970)
Documents Indexed: 50 Publications since 1957, including 4 Books
3 Contributions as Editor · 2 Further Contributions
Biographic References: 5 Publications
Co-Authors: 15 Co-Authors with 11 Joint Publications
293 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 2,206 times in 1,712 Documents Cited by Year
Resolution of singularities of an algebraic variety over a field of characteristic zero. I. Zbl 0122.38603
Hironaka, H.
981
1964
Subanalytic sets. Zbl 0297.32008
Hironaka, Heisuke
126
1973
Resolution of singularities of an algebraic variety over a field of characteristic zero. II. Zbl 1420.14031
Hironaka, Heisuke
124
1964
Flattening theorem in complex-analytic geometry. Zbl 0307.32011
Hironaka, Heisuke
94
1975
Stratification and flatness. Zbl 0424.32004
Hironaka, Heisuke
72
1977
Triangulations of algebraic sets. Zbl 0332.14001
Hironaka, Heisuke
67
1975
Introduction to the theory of infinitely near singular points. Zbl 0366.32007
Hironaka, Heisuke
54
1974
Idealistic exponents of singularity. Zbl 0496.14011
Hironaka, Heisuke
54
1977
Formal functions and formal embeddings. Zbl 0157.27701
Hironaka, H.; Matsumura, H.
48
1968
On the equivalence of imbeddings of exceptional complex spaces. Zbl 0136.20801
Hironaka, H.; Rossi, H.
47
1964
Desingularization theorems. Zbl 0366.32009
Aroca, Jose M.; Hironaka, Heisuke; Vicente, Jose L.
40
1977
On the arithmetic genera and the effective genera of algebraic curves. Zbl 0099.15702
Hironaka, Heisuke
38
1957
Bimeromorphic smoothing of a complex-analytic space. Zbl 0407.32006
Hironaka, Heisuke
38
1977
Characteristic polyhedra of singularities. Zbl 0159.50502
Hironaka, H.
37
1967
Certain numerical characters of singularities. Zbl 0214.20003
Hironaka, H.
36
1970
Resolution of surface singularities. Three lectures with an appendix by H. Hironaka. Ed. by U. Orbanz. Zbl 0553.14003
Cossart, Vincent; Giraud, Jean; Orbanz, Ulrich
35
1984
Normal cones in analytic Whitney stratifications. Zbl 0219.57022
Hironaka, H.
34
1969
The theory of the maximal contact. Zbl 0366.32008
Aroca, Jose M.; Hironaka, Heisuke; Vicente, Jose L.
30
1975
Smoothing of algebraic cycles of small dimensions. Zbl 0173.22801
Hironaka, Heisuke
27
1968
Additive groups associated with points of a projective space. Zbl 0228.14007
Hironaka, Heisuke
23
1970
An example of a non-Kählerian complex-analytic deformation of Kählerian complex structures. Zbl 0107.16001
Hironaka, H.
23
1962
On the meromorphic function field of a Stein variety. Zbl 0146.31401
Iss’sa, Hej
21
1966
Platificateur local en géométrie analytique et aplatissement local. Zbl 0287.14007
Hironaka, Heisuke; Lejeune-Jalabert, Monique; Teissier, Bernard
20
1974
On the equivalence of singularities. I. Zbl 0147.20502
Hironaka, H.
18
1965
On Nash blowing-up. Zbl 0595.14006
Hironaka, Heisuke
18
1983
Theory of infinitely near singular points. Zbl 1055.14013
Hironaka, Heisuke
16
2003
Three key theorems on infinitely near singularities. Zbl 1093.14021
Hironaka, Heisuke
16
2005
Complex analytic desingularization. Zbl 1409.14001
Aroca, José Manuel; Hironaka, Heisuke; Vicente, José Luis
11
2018
On some formal imbeddings. Zbl 0169.52302
Hironaka, H.
10
1968
Formal line bundles along exceptional loci. Zbl 0205.24802
Hironaka, H.
10
1969
Desingularization of complex-analytic varieties. Zbl 0231.32007
Hironaka, Heisuke
10
1971
On resolution of singularities (characteristic zero). Zbl 0122.38602
Hironaka, H.
8
1963
A note on algebraic geometry over ground rings. The invariance of Hilbert characteristic functions under the specialization process. Zbl 0099.15701
Hironaka, Heisuke
7
1958
Introduction aux ensembles sous-analytiques. Zbl 0287.14005
Hironaka, Heisuke
7
1974
La voute étoilée. Zbl 0287.14006
Hironaka, Heisuke
6
1974
Schemes, etc. Zbl 0248.14002
Hironaka, Heisuke
5
1972
A generalized theorem of Krull-Seidenberg on parametrized algebras of finite type. Zbl 0104.03402
Hironaka, Heisuke
5
1960
Local analytic dimensions of a subanalytic set. Zbl 0589.32015
Hironaka, Heisuke
4
1986
On Zariski dimensionality type. Zbl 0417.14009
Hironaka, Heisuke
4
1979
Collected papers. Vol. I: Foundations of algebraic geometry and resolution of singularities. Edited by H. Hironaka and D. Mumford. Zbl 0234.14001
Zariski, Oscar
3
1972
On the characters \(\nu^*\) and \(\tau^*\) of singularities. Zbl 0153.22302
Hironaka, H.
3
1967
Gardening of infinitely near singularities. Zbl 0247.32008
Hironaka, Heisuke
3
1972
Algebraic geometry and commutative algebra. In honor of Masayoshi Nagata. Volume I, Volume II. Zbl 0655.00011
2
1988
On the complex Grassmann manifold. Zbl 0656.14029
Babakhanian, Ari; Hironaka, Heisuke
2
1989
Formal functions over Grassmannians. Zbl 0532.14023
Babakhanian, Ari; Hironaka, Heisuke
2
1982
Interview with Heisuke Hironaka by Allyn Jackson. Zbl 1078.01536
Jackson, Allyn
2
2005
On the presentations of resolution data. Appendix by T. T. Moh. Zbl 0804.14005
Hironaka, H.
1
1989
A fundamental lemma on point modifications. Zbl 0151.31903
Hironaka, H.
1
1965
Corrections to ’On the characters \(\nu^*\) and \(\tau^*\) of singularities’. Zbl 0159.50503
Hironaka, H.
1
1967
The notion of near-complex subvariety. Zbl 0344.32017
Hironaka, H.
1
1972
Flattening of analytic maps. Zbl 0307.32010
Hironaka, Heisuke
1
1975
Complex analytic desingularization. Zbl 1409.14001
Aroca, José Manuel; Hironaka, Heisuke; Vicente, José Luis
11
2018
Three key theorems on infinitely near singularities. Zbl 1093.14021
Hironaka, Heisuke
16
2005
Interview with Heisuke Hironaka by Allyn Jackson. Zbl 1078.01536
Jackson, Allyn
2
2005
Theory of infinitely near singular points. Zbl 1055.14013
Hironaka, Heisuke
16
2003
On the complex Grassmann manifold. Zbl 0656.14029
Babakhanian, Ari; Hironaka, Heisuke
2
1989
On the presentations of resolution data. Appendix by T. T. Moh. Zbl 0804.14005
Hironaka, H.
1
1989
Algebraic geometry and commutative algebra. In honor of Masayoshi Nagata. Volume I, Volume II. Zbl 0655.00011
2
1988
Local analytic dimensions of a subanalytic set. Zbl 0589.32015
Hironaka, Heisuke
4
1986
Resolution of surface singularities. Three lectures with an appendix by H. Hironaka. Ed. by U. Orbanz. Zbl 0553.14003
Cossart, Vincent; Giraud, Jean; Orbanz, Ulrich
35
1984
On Nash blowing-up. Zbl 0595.14006
Hironaka, Heisuke
18
1983
Formal functions over Grassmannians. Zbl 0532.14023
Babakhanian, Ari; Hironaka, Heisuke
2
1982
On Zariski dimensionality type. Zbl 0417.14009
Hironaka, Heisuke
4
1979
Stratification and flatness. Zbl 0424.32004
Hironaka, Heisuke
72
1977
Idealistic exponents of singularity. Zbl 0496.14011
Hironaka, Heisuke
54
1977
Desingularization theorems. Zbl 0366.32009
Aroca, Jose M.; Hironaka, Heisuke; Vicente, Jose L.
40
1977
Bimeromorphic smoothing of a complex-analytic space. Zbl 0407.32006
Hironaka, Heisuke
38
1977
Flattening theorem in complex-analytic geometry. Zbl 0307.32011
Hironaka, Heisuke
94
1975
Triangulations of algebraic sets. Zbl 0332.14001
Hironaka, Heisuke
67
1975
The theory of the maximal contact. Zbl 0366.32008
Aroca, Jose M.; Hironaka, Heisuke; Vicente, Jose L.
30
1975
Flattening of analytic maps. Zbl 0307.32010
Hironaka, Heisuke
1
1975
Introduction to the theory of infinitely near singular points. Zbl 0366.32007
Hironaka, Heisuke
54
1974
Platificateur local en géométrie analytique et aplatissement local. Zbl 0287.14007
Hironaka, Heisuke; Lejeune-Jalabert, Monique; Teissier, Bernard
20
1974
Introduction aux ensembles sous-analytiques. Zbl 0287.14005
Hironaka, Heisuke
7
1974
La voute étoilée. Zbl 0287.14006
Hironaka, Heisuke
6
1974
Subanalytic sets. Zbl 0297.32008
Hironaka, Heisuke
126
1973
Schemes, etc. Zbl 0248.14002
Hironaka, Heisuke
5
1972
Collected papers. Vol. I: Foundations of algebraic geometry and resolution of singularities. Edited by H. Hironaka and D. Mumford. Zbl 0234.14001
Zariski, Oscar
3
1972
Gardening of infinitely near singularities. Zbl 0247.32008
Hironaka, Heisuke
3
1972
The notion of near-complex subvariety. Zbl 0344.32017
Hironaka, H.
1
1972
Desingularization of complex-analytic varieties. Zbl 0231.32007
Hironaka, Heisuke
10
1971
Certain numerical characters of singularities. Zbl 0214.20003
Hironaka, H.
36
1970
Additive groups associated with points of a projective space. Zbl 0228.14007
Hironaka, Heisuke
23
1970
Normal cones in analytic Whitney stratifications. Zbl 0219.57022
Hironaka, H.
34
1969
Formal line bundles along exceptional loci. Zbl 0205.24802
Hironaka, H.
10
1969
Formal functions and formal embeddings. Zbl 0157.27701
Hironaka, H.; Matsumura, H.
48
1968
Smoothing of algebraic cycles of small dimensions. Zbl 0173.22801
Hironaka, Heisuke
27
1968
On some formal imbeddings. Zbl 0169.52302
Hironaka, H.
10
1968
Characteristic polyhedra of singularities. Zbl 0159.50502
Hironaka, H.
37
1967
On the characters \(\nu^*\) and \(\tau^*\) of singularities. Zbl 0153.22302
Hironaka, H.
3
1967
Corrections to ’On the characters \(\nu^*\) and \(\tau^*\) of singularities’. Zbl 0159.50503
Hironaka, H.
1
1967
On the meromorphic function field of a Stein variety. Zbl 0146.31401
Iss’sa, Hej
21
1966
On the equivalence of singularities. I. Zbl 0147.20502
Hironaka, H.
18
1965
A fundamental lemma on point modifications. Zbl 0151.31903
Hironaka, H.
1
1965
Resolution of singularities of an algebraic variety over a field of characteristic zero. I. Zbl 0122.38603
Hironaka, H.
981
1964
Resolution of singularities of an algebraic variety over a field of characteristic zero. II. Zbl 1420.14031
Hironaka, Heisuke
124
1964
On the equivalence of imbeddings of exceptional complex spaces. Zbl 0136.20801
Hironaka, H.; Rossi, H.
47
1964
On resolution of singularities (characteristic zero). Zbl 0122.38602
Hironaka, H.
8
1963
An example of a non-Kählerian complex-analytic deformation of Kählerian complex structures. Zbl 0107.16001
Hironaka, H.
23
1962
A generalized theorem of Krull-Seidenberg on parametrized algebras of finite type. Zbl 0104.03402
Hironaka, Heisuke
5
1960
A note on algebraic geometry over ground rings. The invariance of Hilbert characteristic functions under the specialization process. Zbl 0099.15701
Hironaka, Heisuke
7
1958
On the arithmetic genera and the effective genera of algebraic curves. Zbl 0099.15702
Hironaka, Heisuke
38
1957
all top 5

Cited by 1,525 Authors

38 Kucharz, Wojciech
20 Chen, Yuqun
19 Bierstone, Edward
19 Villamayor Uriburu, Orlando Eugenio
17 Milman, Pierre D.
16 Bokut, Leonid A.
15 Cossart, Vincent
14 Cutkosky, Steven Dale
14 Veys, Willem
13 Parusiński, Adam
12 Koike, Satoshi
12 Kurdyka, Krzysztof
11 Cano, Felipe
11 Paunescu, Laurentiu
10 Piltant, Olivier
10 Schober, Bernd
10 Shiota, Masahiro
9 Fujiki, Akira
9 Hauser, Herwig
9 Lê Dûng Tráng
9 Ruppenthal, Jean
9 Sanz Sánchez, Fernando
9 Zúñiga-Galindo, Wilson A.
8 Bochnak, Jacek
8 Demailly, Jean-Pierre
8 Fernando, José F.
8 Hartshorne, Robin
8 Kashiwara, Masaki
8 Takagi, Shunsuke
8 Yau, Stephen Shing-Toung
7 Adamus, Janusz
7 Badescu, Lucian
7 Bingener, Jürgen
7 Bravo, Ana María
7 Frühbis-Krüger, Anne
7 Hardt, Robert M.
7 Li, Yu
7 McLean, Mark
7 Nobile, Augusto
7 Rond, Guillaume
7 Seade, Jose Antonio
7 Teissier, Bernard
7 Trotman, David John Angelo
7 Watanabe, Sumio
7 Włodarczyk, Jarosław
6 Akbulut, Selman
6 Bei, Francesco
6 Charbonnel, Jean-Yves
6 Duarte, Daniel C. S.
6 Encinas, Santiago
6 Greenblatt, Michael
6 Greuel, Gert-Martin
6 Kamimoto, Joe
6 Kawamata, Yujiro
6 Schoutens, Hans
6 Spivakovsky, Mark
6 Stöhr, Karl-Otto
6 Temkin, Michael
6 Tibăr, Mihai-Marius
5 Abramovich, Dan
5 Aizenbud, Avraham
5 Ancona, Vincenzo
5 Barlet, Daniel
5 Chen, Meng
5 Elias, Joan
5 Fortuna, Elisabetta
5 Friedlander, Eric Mark
5 Galbiati, Margherita
5 Galligo, André
5 Gao, Xing
5 Gurjar, Rajendra Vasant
5 Herrmann, Manfred
5 Némethi, András
5 Nose, Toshihiro
5 Ohsawa, Takeo
5 Orbanz, Ulrich
5 Peternell, Thomas Martin
5 Robbiano, Lorenzo
5 Sabbah, Claude
5 Singh, Balwant
5 Vishik, Alexander
5 Wittenberg, Olivier
5 Yang, Song
5 Zhou, Xiangyu
4 Aoyagi, Miki
4 Ballico, Edoardo
4 Belotto da Silva, André Ricardo
4 Benito, Angélica
4 Benoist, Olivier
4 Benveniste, Xavier
4 Bost, Jean-Benoît
4 Broglia, Fabrizio
4 Buchner, Michael A.
4 Cluckers, Raf
4 Faber, Eleonore
4 Goresky, Robert Mark
4 Grandjean, Vincent
4 Granja, Angel
4 Hamm, Helmut Arend
4 Izumi, Shuzo
...and 1,425 more Authors
all top 5

Cited in 239 Serials

111 Mathematische Annalen
88 Journal of Algebra
87 Inventiones Mathematicae
68 Transactions of the American Mathematical Society
60 Annales de l’Institut Fourier
57 Advances in Mathematics
56 Compositio Mathematica
48 Mathematische Zeitschrift
44 Manuscripta Mathematica
42 Duke Mathematical Journal
39 Journal of Pure and Applied Algebra
38 Publications of the Research Institute for Mathematical Sciences, Kyoto University
32 Proceedings of the American Mathematical Society
31 Journal of Symbolic Computation
26 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
23 Nagoya Mathematical Journal
22 Communications in Algebra
22 Publications Mathématiques
22 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
20 Bulletin de la Société Mathématique de France
19 The Journal of Geometric Analysis
16 Journal of the American Mathematical Society
16 International Journal of Mathematics
16 Journal of Algebraic Geometry
15 Journal für die Reine und Angewandte Mathematik
15 Bulletin of the American Mathematical Society. New Series
14 Journal of Functional Analysis
13 Acta Mathematica
13 Annali di Matematica Pura ed Applicata. Serie Quarta
13 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Topology and its Applications
11 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
11 Geometriae Dedicata
10 Journal of Number Theory
10 Journal of High Energy Physics
10 Bulletin of the American Mathematical Society
9 Israel Journal of Mathematics
9 Mathematical Proceedings of the Cambridge Philosophical Society
9 Archiv der Mathematik
9 Tôhoku Mathematical Journal. Second Series
9 Selecta Mathematica. New Series
8 Mathematische Nachrichten
7 Neural Networks
7 Journal of the European Mathematical Society (JEMS)
7 Journal of the Institute of Mathematics of Jussieu
6 Mathematical Notes
6 Journal of Differential Equations
6 Michigan Mathematical Journal
6 Proceedings of the Japan Academy. Series A
6 Revista Matemática Iberoamericana
6 Journal of Mathematical Sciences (New York)
6 Geometry & Topology
6 Journal of Algebra and its Applications
6 Algebra & Number Theory
6 Kyoto Journal of Mathematics
5 Journal d’Analyse Mathématique
5 Collectanea Mathematica
5 Annals of Global Analysis and Geometry
5 International Journal of Algebra and Computation
5 Mémoires de la Société Mathématique de France. Nouvelle Série
5 Applicable Algebra in Engineering, Communication and Computing
5 Bulletin des Sciences Mathématiques
5 Algebraic & Geometric Topology
4 Bulletin of the Australian Mathematical Society
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Journal of Soviet Mathematics
4 Results in Mathematics
4 Transformation Groups
4 Revista Matemática Complutense
4 Qualitative Theory of Dynamical Systems
4 Foundations of Computational Mathematics
4 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
4 Bulletin de la Société Mathématique de France. Supplément. Mémoires
4 Journal of Singularities
4 European Journal of Mathematics
4 Journal de l’École Polytechnique – Mathématiques
4 Complex Manifolds
3 Archive for History of Exact Sciences
3 Arkiv för Matematik
3 Mathematics of Computation
3 Journal of Geometry and Physics
3 The Mathematical Intelligencer
3 Bulletin of the London Mathematical Society
3 Functional Analysis and its Applications
3 Glasgow Mathematical Journal
3 Journal of Differential Geometry
3 Kodai Mathematical Journal
3 Osaka Journal of Mathematics
3 Pacific Journal of Mathematics
3 Advances in Applied Mathematics
3 Annals of Pure and Applied Logic
3 Journal of Complexity
3 \(K\)-Theory
3 Sugaku Expositions
3 Neural Computation
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Indagationes Mathematicae. New Series
3 Experimental Mathematics
3 Algebra Colloquium
...and 139 more Serials
all top 5

Cited in 54 Fields

1,029 Algebraic geometry (14-XX)
651 Several complex variables and analytic spaces (32-XX)
276 Commutative algebra (13-XX)
119 Global analysis, analysis on manifolds (58-XX)
102 Number theory (11-XX)
101 Manifolds and cell complexes (57-XX)
96 Differential geometry (53-XX)
55 Computer science (68-XX)
51 Associative rings and algebras (16-XX)
48 Dynamical systems and ergodic theory (37-XX)
40 Field theory and polynomials (12-XX)
38 Partial differential equations (35-XX)
38 Algebraic topology (55-XX)
32 Mathematical logic and foundations (03-XX)
32 \(K\)-theory (19-XX)
30 Nonassociative rings and algebras (17-XX)
29 Real functions (26-XX)
28 Functions of a complex variable (30-XX)
27 Group theory and generalizations (20-XX)
27 Quantum theory (81-XX)
25 Functional analysis (46-XX)
24 Ordinary differential equations (34-XX)
20 Topological groups, Lie groups (22-XX)
20 Operator theory (47-XX)
16 History and biography (01-XX)
16 Combinatorics (05-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
14 Systems theory; control (93-XX)
13 Category theory; homological algebra (18-XX)
12 Convex and discrete geometry (52-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
8 Potential theory (31-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Integral transforms, operational calculus (44-XX)
7 Numerical analysis (65-XX)
7 Relativity and gravitational theory (83-XX)
6 General and overarching topics; collections (00-XX)
6 Statistics (62-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 General algebraic systems (08-XX)
5 Difference and functional equations (39-XX)
5 Abstract harmonic analysis (43-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Measure and integration (28-XX)
4 Approximations and expansions (41-XX)
4 General topology (54-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Information and communication theory, circuits (94-XX)
3 Geometry (51-XX)
2 Mechanics of particles and systems (70-XX)
2 Operations research, mathematical programming (90-XX)
1 Sequences, series, summability (40-XX)
1 Optics, electromagnetic theory (78-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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