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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
269 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 1,849 times in 1,449 Documents Cited by Year
Resolution of singularities of an algebraic variety over a field of characteristic zero. I. Zbl 0122.38603
Hironaka, H.
895
1964
Flattening theorem in complex-analytic geometry. Zbl 0307.32011
Hironaka, Heisuke
89
1975
Subanalytic sets. Zbl 0297.32008
Hironaka, Heisuke
85
1973
Resolution of singularities of an algebraic variety over a field of characteristic zero. II. Zbl 1420.14031
Hironaka, Heisuke
60
1964
Introduction to the theory of infinitely near singular points. Zbl 0366.32007
Hironaka, Heisuke
53
1974
On the equivalence of imbeddings of exceptional complex spaces. Zbl 0136.20801
Hironaka, H.; Rossi, H.
46
1964
Formal functions and formal embeddings. Zbl 0157.27701
Hironaka, H.; Matsumura, H.
44
1968
Bimeromorphic smoothing of a complex-analytic space. Zbl 0407.32006
Hironaka, Heisuke
36
1977
Certain numerical characters of singularities. Zbl 0214.20003
Hironaka, H.
36
1970
Idealistic exponents of singularity. Zbl 0496.14011
Hironaka, Heisuke
34
1977
Desingularization theorems. Zbl 0366.32009
Aroca, Jose M.; Hironaka, Heisuke; Vicente, Jose L.
34
1977
Characteristic polyhedra of singularities. Zbl 0159.50502
Hironaka, H.
34
1967
On the arithmetic genera and the effective genera of algebraic curves. Zbl 0099.15702
Hironaka, Heisuke
33
1957
Normal cones in analytic Whitney stratifications. Zbl 0219.57022
Hironaka, H.
32
1969
Stratification and flatness. Zbl 0424.32004
Hironaka, Heisuke
30
1977
The theory of the maximal contact. Zbl 0366.32008
Aroca, Jose M.; Hironaka, Heisuke; Vicente, Jose L.
29
1975
Triangulations of algebraic sets. Zbl 0332.14001
Hironaka, Heisuke
26
1975
Smoothing of algebraic cycles of small dimensions. Zbl 0173.22801
Hironaka, Heisuke
26
1968
Additive groups associated with points of a projective space. Zbl 0228.14007
Hironaka, Heisuke
22
1970
Platificateur local en géométrie analytique et aplatissement local. Zbl 0287.14007
Hironaka, Heisuke; Lejeune-Jalabert, Monique; Teissier, Bernard
20
1974
An example of a non-Kählerian complex-analytic deformation of Kählerian complex structures. Zbl 0107.16001
Hironaka, H.
19
1962
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
18
1984
On the meromorphic function field of a Stein variety. Zbl 0146.31401
Iss’sa, Hej
18
1966
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
14
2005
On Nash blowing-up. Zbl 0595.14006
Hironaka, Heisuke
11
1983
Formal line bundles along exceptional loci. Zbl 0205.24802
Hironaka, H.
10
1969
On the equivalence of singularities. I. Zbl 0147.20502
Hironaka, H.
9
1965
On some formal imbeddings. Zbl 0169.52302
Hironaka, H.
9
1968
Introduction aux ensembles sous-analytiques. Zbl 0287.14005
Hironaka, Heisuke
7
1974
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
Desingularization of complex-analytic varieties. Zbl 0231.32007
Hironaka, Heisuke
5
1971
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
La voute étoilée. Zbl 0287.14006
Hironaka, Heisuke
4
1974
On resolution of singularities (characteristic zero). Zbl 0122.38602
Hironaka, H.
4
1963
On Zariski dimensionality type. Zbl 0417.14009
Hironaka, Heisuke
3
1979
On the characters \(\nu^*\) and \(\tau^*\) of singularities. Zbl 0153.22302
Hironaka, H.
3
1967
Complex analytic desingularization. Zbl 1409.14001
Aroca, José Manuel; Hironaka, Heisuke; Vicente, José Luis
3
2018
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
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
Gardening of infinitely near singularities. Zbl 0247.32008
Hironaka, Heisuke
2
1972
Interview with Heisuke Hironaka by Allyn Jackson. Zbl 1078.01536
Jackson, Allyn
1
2005
Algebraic geometry and commutative algebra. In honor of Masayoshi Nagata. Volume I, Volume II. Zbl 0655.00011
1
1988
On the presentations of resolution data. Appendix by T. T. Moh. Zbl 0804.14005
Hironaka, H.
1
1989
The notion of near-complex subvariety. Zbl 0344.32017
Hironaka, H.
1
1972
Flattening of analytic maps. Zbl 0307.32010
Hironaka, Heisuke
1
1975
Schemes, etc. Zbl 0248.14002
Hironaka, Heisuke
1
1972
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
Complex analytic desingularization. Zbl 1409.14001
Aroca, José Manuel; Hironaka, Heisuke; Vicente, José Luis
3
2018
Three key theorems on infinitely near singularities. Zbl 1093.14021
Hironaka, Heisuke
14
2005
Interview with Heisuke Hironaka by Allyn Jackson. Zbl 1078.01536
Jackson, Allyn
1
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
1
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
18
1984
On Nash blowing-up. Zbl 0595.14006
Hironaka, Heisuke
11
1983
Formal functions over Grassmannians. Zbl 0532.14023
Babakhanian, Ari; Hironaka, Heisuke
2
1982
On Zariski dimensionality type. Zbl 0417.14009
Hironaka, Heisuke
3
1979
Bimeromorphic smoothing of a complex-analytic space. Zbl 0407.32006
Hironaka, Heisuke
36
1977
Idealistic exponents of singularity. Zbl 0496.14011
Hironaka, Heisuke
34
1977
Desingularization theorems. Zbl 0366.32009
Aroca, Jose M.; Hironaka, Heisuke; Vicente, Jose L.
34
1977
Stratification and flatness. Zbl 0424.32004
Hironaka, Heisuke
30
1977
Flattening theorem in complex-analytic geometry. Zbl 0307.32011
Hironaka, Heisuke
89
1975
The theory of the maximal contact. Zbl 0366.32008
Aroca, Jose M.; Hironaka, Heisuke; Vicente, Jose L.
29
1975
Triangulations of algebraic sets. Zbl 0332.14001
Hironaka, Heisuke
26
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
53
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
4
1974
Subanalytic sets. Zbl 0297.32008
Hironaka, Heisuke
85
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
Gardening of infinitely near singularities. Zbl 0247.32008
Hironaka, Heisuke
2
1972
The notion of near-complex subvariety. Zbl 0344.32017
Hironaka, H.
1
1972
Schemes, etc. Zbl 0248.14002
Hironaka, Heisuke
1
1972
Desingularization of complex-analytic varieties. Zbl 0231.32007
Hironaka, Heisuke
5
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
22
1970
Normal cones in analytic Whitney stratifications. Zbl 0219.57022
Hironaka, H.
32
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.
44
1968
Smoothing of algebraic cycles of small dimensions. Zbl 0173.22801
Hironaka, Heisuke
26
1968
On some formal imbeddings. Zbl 0169.52302
Hironaka, H.
9
1968
Characteristic polyhedra of singularities. Zbl 0159.50502
Hironaka, H.
34
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
18
1966
On the equivalence of singularities. I. Zbl 0147.20502
Hironaka, H.
9
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.
895
1964
Resolution of singularities of an algebraic variety over a field of characteristic zero. II. Zbl 1420.14031
Hironaka, Heisuke
60
1964
On the equivalence of imbeddings of exceptional complex spaces. Zbl 0136.20801
Hironaka, H.; Rossi, H.
46
1964
On resolution of singularities (characteristic zero). Zbl 0122.38602
Hironaka, H.
4
1963
An example of a non-Kählerian complex-analytic deformation of Kählerian complex structures. Zbl 0107.16001
Hironaka, H.
19
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
33
1957
all top 5

Cited by 1,255 Authors

36 Kucharz, Wojciech
19 Villamayor Uriburu, Orlando Eugenio
18 Bierstone, Edward
18 Chen, Yuqun
16 Bokut, Leonid A.
15 Cossart, Vincent
15 Milman, Pierre D.
13 Veys, Willem
11 Cutkosky, Steven Dale
11 Parusiński, Adam
10 Kurdyka, Krzysztof
10 Shiota, Masahiro
9 Cano, Felipe
9 Fujiki, Akira
9 Hauser, Herwig
9 Piltant, Olivier
9 Ruppenthal, Jean
9 Schober, Bernd
9 Zúñiga-Galindo, Wilson A.
8 Hartshorne, Robin
8 Kashiwara, Masaki
8 Koike, Satoshi
8 Takagi, Shunsuke
7 Badescu, Lucian
7 Bingener, Jürgen
7 Bochnak, Jacek
7 Bravo, Ana María
7 Demailly, Jean-Pierre
7 Frühbis-Krüger, Anne
7 Li, Yu
7 Paunescu, Laurentiu
7 Sanz Sánchez, Fernando
6 Akbulut, Selman
6 Bei, Francesco
6 Charbonnel, Jean-Yves
6 Encinas, Santiago
6 Greenblatt, Michael
6 Hardt, Robert M.
6 Kawamata, Yujiro
6 Lê Dûng Tráng
6 Nobile, Augusto
6 Rond, Guillaume
6 Schoutens, Hans
6 Stöhr, Karl-Otto
6 Temkin, Michael
6 Trotman, David John Angelo
6 Watanabe, Sumio
6 Włodarczyk, Jarosław
6 Yau, Stephen Shing-Toung
5 Abramovich, Dan
5 Aizenbud, Avraham
5 Ancona, Vincenzo
5 Chen, Meng
5 Friedlander, Eric Mark
5 Herrmann, Manfred
5 Kamimoto, Joe
5 McLean, Mark
5 Nose, Toshihiro
5 Ohsawa, Takeo
5 Orbanz, Ulrich
5 Peternell, Thomas Martin
5 Robbiano, Lorenzo
5 Singh, Balwant
5 Spivakovsky, Mark
5 Teissier, Bernard
4 Adamus, Janusz
4 Ballico, Edoardo
4 Barlet, Daniel
4 Benoist, Olivier
4 Benveniste, Xavier
4 Buchner, Michael A.
4 Elias, Juan
4 Fernando, José F.
4 Fortuna, Elisabetta
4 Galbiati, Margherita
4 Goresky, Robert Mark
4 Granja, Angel
4 Gurjar, Rajendra Vasant
4 King, Henry C.
4 Krishna, Amalendu
4 Li, Jiayu
4 Malbos, Philippe
4 Matsuki, Kenji
4 Mo, Qiuhui
4 Qiu, Jianjun
4 Sabbah, Claude
4 Speder, Jean-Paul
4 Tomassini, Adriano
4 Tougeron, Jean-Claude
4 Valla, Giuseppe
4 Wilson, Pelham Mark Hedley
4 Wittenberg, Olivier
4 Yamazaki, Keisuke
4 Zhang, Xi
3 Ahmadian, Razieh
3 Aoyagi, Miki
3 Becker, Joseph A.
3 Belotto da Silva, André Ricardo
3 Beltrametti, Mauro C.
3 Benito, Angélica
...and 1,155 more Authors
all top 5

Cited in 198 Serials

103 Mathematische Annalen
84 Inventiones Mathematicae
78 Journal of Algebra
68 Transactions of the American Mathematical Society
59 Annales de l’Institut Fourier
51 Compositio Mathematica
47 Advances in Mathematics
42 Duke Mathematical Journal
42 Manuscripta Mathematica
42 Mathematische Zeitschrift
37 Publications of the Research Institute for Mathematical Sciences, Kyoto University
32 Journal of Pure and Applied Algebra
30 Proceedings of the American Mathematical Society
27 Journal of Symbolic Computation
26 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
22 Publications Mathématiques
22 Nagoya Mathematical Journal
20 Communications in Algebra
20 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
15 Journal of the American Mathematical Society
15 International Journal of Mathematics
14 Bulletin de la Société Mathématique de France
14 Bulletin of the American Mathematical Society. New Series
14 Journal of Algebraic Geometry
13 The Journal of Geometric Analysis
13 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
12 Acta Mathematica
12 Journal für die Reine und Angewandte Mathematik
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Annali di Matematica Pura ed Applicata. Serie Quarta
11 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
11 Journal of Functional Analysis
10 Bulletin of the American Mathematical Society
9 Archiv der Mathematik
9 Journal of Number Theory
9 Tohoku Mathematical Journal. Second Series
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Geometriae Dedicata
8 Journal of High Energy Physics
7 Israel Journal of Mathematics
6 Mathematical Notes
6 Topology and its Applications
6 Selecta Mathematica. New Series
6 Kyoto Journal of Mathematics
5 Collectanea Mathematica
5 Journal of Differential Equations
5 Mathematische Nachrichten
5 Michigan Mathematical Journal
5 Proceedings of the Japan Academy. Series A
5 Neural Networks
5 Mémoires de la Société Mathématique de France. Nouvelle Série
5 Geometry & Topology
5 Journal of the European Mathematical Society (JEMS)
5 Journal of the Institute of Mathematics of Jussieu
5 Journal of Algebra and its Applications
4 Bulletin of the Australian Mathematical Society
4 Journal d’Analyse Mathématique
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Journal of Soviet Mathematics
4 Results in Mathematics
4 Revista Matemática Iberoamericana
4 Applicable Algebra in Engineering, Communication and Computing
4 Journal of Mathematical Sciences (New York)
4 Transformation Groups
4 Revista Matemática Complutense
4 Algebraic & Geometric Topology
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 de l’École Polytechnique – Mathématiques
3 Archive for History of Exact Sciences
3 Arkiv för Matematik
3 Functional Analysis and its Applications
3 Glasgow Mathematical Journal
3 Kodai Mathematical Journal
3 Annals of Global Analysis and Geometry
3 \(K\)-Theory
3 Neural Computation
3 International Journal of Algebra and Computation
3 Indagationes Mathematicae. New Series
3 Experimental Mathematics
3 Algebra Colloquium
3 The Journal of Fourier Analysis and Applications
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Qualitative Theory of Dynamical Systems
3 Proceedings of the Japan Academy
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Communications in Mathematical Physics
2 Discrete Mathematics
2 International Journal of Theoretical Physics
2 Rocky Mountain Journal of Mathematics
2 Mathematics of Computation
2 Journal of Geometry and Physics
2 The Mathematical Intelligencer
2 Beiträge zur Algebra und Geometrie
2 Annales Polonici Mathematici
2 Czechoslovak Mathematical Journal
2 Mathematica Slovaca
2 Memoirs of the American Mathematical Society
2 Proceedings of the London Mathematical Society. Third Series
...and 98 more Serials
all top 5

Cited in 53 Fields

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

Citations by Year

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