## Hironaka, Heisuke

Compute Distance To:
 Author ID: hironaka.heisuke Published as: Hironaka, Heisuke; Hironaka, H.; Iss’sa, Hej more...less 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
all top 5

### Co-Authors

 41 single-authored 3 Aroca, José Manuel 3 Vicente, José Luis 2 Babakhanian, Ari 2 Matsumura, Hideyuki 1 Bennett, Bruce M. 1 Cossart, Vincent 1 Giraud, Jean 1 Hijikata, Hiroaki 1 Jackson, Allyn 1 Janeczko, Stanisław 1 Lejeune-Jalabert, Monique 1 Łojasiewicz, Stanisław 1 Maruyama, Masaki 1 Miyanishi, Masayoshi 1 Moh, Tzuong-Tsieng 1 Mumford, David Bryant 1 Oda, Tadao 1 Orbanz, Ulrich 1 Rossi, Hugo 1 Teissier, Bernard 1 Ueno, Kenji 1 Zariski, Oscar
all top 5

### Serials

 5 Annals of Mathematics. Second Series 4 American Journal of Mathematics 4 Illinois Journal of Mathematics 4 Journal of Mathematics of Kyoto University 1 Acta Mathematica Vietnamica 1 Publications Mathématiques 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Proceedings of the Japan Academy. Series A 1 Notices of the American Mathematical Society 1 Memoirs of the College of Science, University of Kyoto, Series A 1 Banach Center Publications 1 Lecture Notes in Mathematics 1 Mathematicians of Our Time
all top 5

### Fields

 33 Algebraic geometry (14-XX) 16 Several complex variables and analytic spaces (32-XX) 4 Manifolds and cell complexes (57-XX) 3 History and biography (01-XX) 2 General and overarching topics; collections (00-XX) 2 Differential geometry (53-XX) 1 Commutative algebra (13-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX)

### 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.
1964
Flattening theorem in complex-analytic geometry. Zbl 0307.32011
Hironaka, Heisuke
1975
Subanalytic sets. Zbl 0297.32008
Hironaka, Heisuke
1973
Resolution of singularities of an algebraic variety over a field of characteristic zero. II. Zbl 1420.14031
Hironaka, Heisuke
1964
Introduction to the theory of infinitely near singular points. Zbl 0366.32007
Hironaka, Heisuke
1974
On the equivalence of imbeddings of exceptional complex spaces. Zbl 0136.20801
Hironaka, H.; Rossi, H.
1964
Formal functions and formal embeddings. Zbl 0157.27701
Hironaka, H.; Matsumura, H.
1968
Bimeromorphic smoothing of a complex-analytic space. Zbl 0407.32006
Hironaka, Heisuke
1977
Certain numerical characters of singularities. Zbl 0214.20003
Hironaka, H.
1970
Idealistic exponents of singularity. Zbl 0496.14011
Hironaka, Heisuke
1977
Desingularization theorems. Zbl 0366.32009
Aroca, Jose M.; Hironaka, Heisuke; Vicente, Jose L.
1977
Characteristic polyhedra of singularities. Zbl 0159.50502
Hironaka, H.
1967
On the arithmetic genera and the effective genera of algebraic curves. Zbl 0099.15702
Hironaka, Heisuke
1957
Normal cones in analytic Whitney stratifications. Zbl 0219.57022
Hironaka, H.
1969
Stratification and flatness. Zbl 0424.32004
Hironaka, Heisuke
1977
The theory of the maximal contact. Zbl 0366.32008
Aroca, Jose M.; Hironaka, Heisuke; Vicente, Jose L.
1975
Triangulations of algebraic sets. Zbl 0332.14001
Hironaka, Heisuke
1975
Smoothing of algebraic cycles of small dimensions. Zbl 0173.22801
Hironaka, Heisuke
1968
Additive groups associated with points of a projective space. Zbl 0228.14007
Hironaka, Heisuke
1970
Platificateur local en géométrie analytique et aplatissement local. Zbl 0287.14007
Hironaka, Heisuke; Lejeune-Jalabert, Monique; Teissier, Bernard
1974
An example of a non-Kählerian complex-analytic deformation of Kählerian complex structures. Zbl 0107.16001
Hironaka, H.
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
1984
On the meromorphic function field of a Stein variety. Zbl 0146.31401
Iss’sa, Hej
1966
Theory of infinitely near singular points. Zbl 1055.14013
Hironaka, Heisuke
2003
Three key theorems on infinitely near singularities. Zbl 1093.14021
Hironaka, Heisuke
2005
On Nash blowing-up. Zbl 0595.14006
Hironaka, Heisuke
1983
Formal line bundles along exceptional loci. Zbl 0205.24802
Hironaka, H.
1969
On the equivalence of singularities. I. Zbl 0147.20502
Hironaka, H.
1965
On some formal imbeddings. Zbl 0169.52302
Hironaka, H.
1968
Introduction aux ensembles sous-analytiques. Zbl 0287.14005
Hironaka, Heisuke
1974
A note on algebraic geometry over ground rings. The invariance of Hilbert characteristic functions under the specialization process. Zbl 0099.15701
Hironaka, Heisuke
1958
Desingularization of complex-analytic varieties. Zbl 0231.32007
Hironaka, Heisuke
1971
A generalized theorem of Krull-Seidenberg on parametrized algebras of finite type. Zbl 0104.03402
Hironaka, Heisuke
1960
Local analytic dimensions of a subanalytic set. Zbl 0589.32015
Hironaka, Heisuke
1986
La voute étoilée. Zbl 0287.14006
Hironaka, Heisuke
1974
On resolution of singularities (characteristic zero). Zbl 0122.38602
Hironaka, H.
1963
On Zariski dimensionality type. Zbl 0417.14009
Hironaka, Heisuke
1979
On the characters $$\nu^*$$ and $$\tau^*$$ of singularities. Zbl 0153.22302
Hironaka, H.
1967
Complex analytic desingularization. Zbl 1409.14001
Aroca, José Manuel; Hironaka, Heisuke; Vicente, José Luis
2018
On the complex Grassmann manifold. Zbl 0656.14029
Babakhanian, Ari; Hironaka, Heisuke
1989
Formal functions over Grassmannians. Zbl 0532.14023
Babakhanian, Ari; Hironaka, Heisuke
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
1972
Gardening of infinitely near singularities. Zbl 0247.32008
Hironaka, Heisuke
1972
Interview with Heisuke Hironaka by Allyn Jackson. Zbl 1078.01536
Jackson, Allyn
2005
Algebraic geometry and commutative algebra. In honor of Masayoshi Nagata. Volume I, Volume II. Zbl 0655.00011
1988
On the presentations of resolution data. Appendix by T. T. Moh. Zbl 0804.14005
Hironaka, H.
1989
The notion of near-complex subvariety. Zbl 0344.32017
Hironaka, H.
1972
Flattening of analytic maps. Zbl 0307.32010
Hironaka, Heisuke
1975
Schemes, etc. Zbl 0248.14002
Hironaka, Heisuke
1972
A fundamental lemma on point modifications. Zbl 0151.31903
Hironaka, H.
1965
Corrections to ’On the characters $$\nu^*$$ and $$\tau^*$$ of singularities’. Zbl 0159.50503
Hironaka, H.
1967
Complex analytic desingularization. Zbl 1409.14001
Aroca, José Manuel; Hironaka, Heisuke; Vicente, José Luis
2018
Three key theorems on infinitely near singularities. Zbl 1093.14021
Hironaka, Heisuke
2005
Interview with Heisuke Hironaka by Allyn Jackson. Zbl 1078.01536
Jackson, Allyn
2005
Theory of infinitely near singular points. Zbl 1055.14013
Hironaka, Heisuke
2003
On the complex Grassmann manifold. Zbl 0656.14029
Babakhanian, Ari; Hironaka, Heisuke
1989
On the presentations of resolution data. Appendix by T. T. Moh. Zbl 0804.14005
Hironaka, H.
1989
Algebraic geometry and commutative algebra. In honor of Masayoshi Nagata. Volume I, Volume II. Zbl 0655.00011
1988
Local analytic dimensions of a subanalytic set. Zbl 0589.32015
Hironaka, Heisuke
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
1984
On Nash blowing-up. Zbl 0595.14006
Hironaka, Heisuke
1983
Formal functions over Grassmannians. Zbl 0532.14023
Babakhanian, Ari; Hironaka, Heisuke
1982
On Zariski dimensionality type. Zbl 0417.14009
Hironaka, Heisuke
1979
Bimeromorphic smoothing of a complex-analytic space. Zbl 0407.32006
Hironaka, Heisuke
1977
Idealistic exponents of singularity. Zbl 0496.14011
Hironaka, Heisuke
1977
Desingularization theorems. Zbl 0366.32009
Aroca, Jose M.; Hironaka, Heisuke; Vicente, Jose L.
1977
Stratification and flatness. Zbl 0424.32004
Hironaka, Heisuke
1977
Flattening theorem in complex-analytic geometry. Zbl 0307.32011
Hironaka, Heisuke
1975
The theory of the maximal contact. Zbl 0366.32008
Aroca, Jose M.; Hironaka, Heisuke; Vicente, Jose L.
1975
Triangulations of algebraic sets. Zbl 0332.14001
Hironaka, Heisuke
1975
Flattening of analytic maps. Zbl 0307.32010
Hironaka, Heisuke
1975
Introduction to the theory of infinitely near singular points. Zbl 0366.32007
Hironaka, Heisuke
1974
Platificateur local en géométrie analytique et aplatissement local. Zbl 0287.14007
Hironaka, Heisuke; Lejeune-Jalabert, Monique; Teissier, Bernard
1974
Introduction aux ensembles sous-analytiques. Zbl 0287.14005
Hironaka, Heisuke
1974
La voute étoilée. Zbl 0287.14006
Hironaka, Heisuke
1974
Subanalytic sets. Zbl 0297.32008
Hironaka, Heisuke
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
Gardening of infinitely near singularities. Zbl 0247.32008
Hironaka, Heisuke
1972
The notion of near-complex subvariety. Zbl 0344.32017
Hironaka, H.
1972
Schemes, etc. Zbl 0248.14002
Hironaka, Heisuke
1972
Desingularization of complex-analytic varieties. Zbl 0231.32007
Hironaka, Heisuke
1971
Certain numerical characters of singularities. Zbl 0214.20003
Hironaka, H.
1970
Additive groups associated with points of a projective space. Zbl 0228.14007
Hironaka, Heisuke
1970
Normal cones in analytic Whitney stratifications. Zbl 0219.57022
Hironaka, H.
1969
Formal line bundles along exceptional loci. Zbl 0205.24802
Hironaka, H.
1969
Formal functions and formal embeddings. Zbl 0157.27701
Hironaka, H.; Matsumura, H.
1968
Smoothing of algebraic cycles of small dimensions. Zbl 0173.22801
Hironaka, Heisuke
1968
On some formal imbeddings. Zbl 0169.52302
Hironaka, H.
1968
Characteristic polyhedra of singularities. Zbl 0159.50502
Hironaka, H.
1967
On the characters $$\nu^*$$ and $$\tau^*$$ of singularities. Zbl 0153.22302
Hironaka, H.
1967
Corrections to ’On the characters $$\nu^*$$ and $$\tau^*$$ of singularities’. Zbl 0159.50503
Hironaka, H.
1967
On the meromorphic function field of a Stein variety. Zbl 0146.31401
Iss&rsquo;sa, Hej
1966
On the equivalence of singularities. I. Zbl 0147.20502
Hironaka, H.
1965
A fundamental lemma on point modifications. Zbl 0151.31903
Hironaka, H.
1965
Resolution of singularities of an algebraic variety over a field of characteristic zero. I. Zbl 0122.38603
Hironaka, H.
1964
Resolution of singularities of an algebraic variety over a field of characteristic zero. II. Zbl 1420.14031
Hironaka, Heisuke
1964
On the equivalence of imbeddings of exceptional complex spaces. Zbl 0136.20801
Hironaka, H.; Rossi, H.
1964
On resolution of singularities (characteristic zero). Zbl 0122.38602
Hironaka, H.
1963
An example of a non-Kählerian complex-analytic deformation of Kählerian complex structures. Zbl 0107.16001
Hironaka, H.
1962
A generalized theorem of Krull-Seidenberg on parametrized algebras of finite type. Zbl 0104.03402
Hironaka, Heisuke
1960
A note on algebraic geometry over ground rings. The invariance of Hilbert characteristic functions under the specialization process. Zbl 0099.15701
Hironaka, Heisuke
1958
On the arithmetic genera and the effective genera of algebraic curves. Zbl 0099.15702
Hironaka, Heisuke
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)

### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.