Heisuke Hironaka

4.2k total citations · 1 hit paper
25 papers, 2.0k citations indexed

About

Heisuke Hironaka is a scholar working on Geometry and Topology, Algebra and Number Theory and Computational Theory and Mathematics. According to data from OpenAlex, Heisuke Hironaka has authored 25 papers receiving a total of 2.0k indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Geometry and Topology, 9 papers in Algebra and Number Theory and 7 papers in Computational Theory and Mathematics. Recurrent topics in Heisuke Hironaka's work include Advanced Topics in Algebra (7 papers), Polynomial and algebraic computation (5 papers) and Algebraic Geometry and Number Theory (5 papers). Heisuke Hironaka is often cited by papers focused on Advanced Topics in Algebra (7 papers), Polynomial and algebraic computation (5 papers) and Algebraic Geometry and Number Theory (5 papers). Heisuke Hironaka collaborates with scholars based in United States, Japan and Spain. Heisuke Hironaka's co-authors include Hugo Rossi, H. Matsumura, J. L. Vicente, Vaughan F. R. Jones, Arthur Jaffe, Moshé Flato and Alain Connes and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and American Journal of Mathematics.

In The Last Decade

Heisuke Hironaka

25 papers receiving 1.6k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I

1964 1.2k citations Heisuke Hironaka Annals of Mathematics profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Heisuke Hironaka United States	15	1.7k	861	666	529	355	25	2.0k
A. Van de Ven Netherlands	19	2.3k 1.3×	1.1k 1.3×	393 0.6×	311 0.6×	630 1.8×	27	2.5k
Enrico Arbarello Italy	17	2.0k 1.1×	1.0k 1.2×	559 0.8×	505 1.0×	274 0.8×	25	2.1k
Alexander Grothendieck France	19	2.4k 1.4×	1.8k 2.1×	957 1.4×	524 1.0×	226 0.6×	34	2.9k
Wolf Barth Germany	16	2.4k 1.4×	1.2k 1.4×	424 0.6×	322 0.6×	586 1.7×	32	2.6k
Герд Фалтингс Germany	19	1.9k 1.1×	1.3k 1.5×	698 1.0×	379 0.7×	207 0.6×	54	2.1k
Egbert Brieskorn Germany	13	1.3k 0.7×	684 0.8×	271 0.4×	291 0.6×	262 0.7×	25	1.5k
Jun-ichi Igusa United States	25	1.4k 0.8×	1.1k 1.3×	574 0.9×	223 0.4×	257 0.7×	56	1.8k
Bernard Dwork United States	18	679 0.4×	535 0.6×	393 0.6×	251 0.5×	254 0.7×	53	1.1k
George R. Kempf United States	16	1.3k 0.8×	809 0.9×	474 0.7×	323 0.6×	147 0.4×	57	1.5k
Marius van der Put Netherlands	17	964 0.6×	632 0.7×	379 0.6×	562 1.1×	182 0.5×	91	1.4k

Countries citing papers authored by Heisuke Hironaka

Since Specialization

Citations

This map shows the geographic impact of Heisuke Hironaka's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Heisuke Hironaka with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Heisuke Hironaka more than expected).

Fields of papers citing papers by Heisuke Hironaka

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Heisuke Hironaka. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Heisuke Hironaka. The network helps show where Heisuke Hironaka may publish in the future.

Co-authorship network of co-authors of Heisuke Hironaka

This figure shows the co-authorship network connecting the top 25 collaborators of Heisuke Hironaka. A scholar is included among the top collaborators of Heisuke Hironaka based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Heisuke Hironaka. Heisuke Hironaka is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

1.

Hironaka, Heisuke, et al.. (2018). Complex Analytic Desingularization. CERN Document Server (European Organization for Nuclear Research). 5 indexed citations

2.

Hironaka, Heisuke. (2005). THREE KEY THEOREMS ON INFINITELY NEAR SINGULARITIES. 14 indexed citations

3.

Hironaka, Heisuke. (2003). THEORY OF INFINITELY NEAR SINGULAR POINTS. Journal of the Korean Mathematical Society. 40(5). 901–920. 20 indexed citations

4.

Connes, Alain, Moshé Flato, Heisuke Hironaka, Arthur Jaffe, & Vaughan F. R. Jones. (1993). Editorial (dedication of this issue to Huzihiro Araki). Communications in Mathematical Physics. 155(1). 1–2. 1 indexed citations

5.

Hironaka, Heisuke. (1986). Local analytic dimensions of a subanalytic set. Proceedings of the Japan Academy Series A Mathematical Sciences. 62(2). 4 indexed citations

6.

Hironaka, Heisuke. (1977). Fundamental problems on Douady space. Kyoto University Research Information Repository (Kyoto University). 1977. 253–261. 1 indexed citations

7.

Hironaka, Heisuke. (1975). Flattening Theorem in Complex-Analytic Geometry. American Journal of Mathematics. 97(2). 503–503. 130 indexed citations

8.

Hironaka, Heisuke. (1970). Additive Groups Associated with Points of a Projective Space. Annals of Mathematics. 92(2). 327–327. 26 indexed citations

9.

Hironaka, Heisuke. (1970). DESINGULARIZATION OF COMPLEX-ANALY TIC VARIETIES. 11 indexed citations

10.

Hironaka, Heisuke. (1970). Certain numerical characters of singularities. Kyoto journal of mathematics. 10(1). 41 indexed citations

11.

Hironaka, Heisuke & H. Matsumura. (1968). Formal functions and formal embeddings. Journal of the Mathematical Society of Japan. 20(1-2). 43 indexed citations

12.

Hironaka, Heisuke. (1968). On some formal imbeddings. Illinois Journal of Mathematics. 12(4). 10 indexed citations

13.

Hironaka, Heisuke. (1968). Smoothing of Algebraic Cycles of Small Dimensions. American Journal of Mathematics. 90(1). 1–1. 31 indexed citations

14.

Hironaka, Heisuke. (1967). On the characters $\nu^*$ and $\tau^*$ of singularities. Kyoto journal of mathematics. 7(1). 1 indexed citations

15.

Hironaka, Heisuke. (1964). Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I. Annals of Mathematics. 79(1). 109–109. 1223 indexed citations breakdown →

16.

Hironaka, Heisuke. (1964). Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: II. Annals of Mathematics. 79(2). 205–205. 250 indexed citations

17.

Hironaka, Heisuke. (1962). An Example of a Non-Kahlerian Complex-Analytic Deformation of Kahlerian Complex Structures. Annals of Mathematics. 75(1). 190–190. 29 indexed citations

18.

Hironaka, Heisuke. (1960). A Generalized Theorem of Krull-Seidenberg on Parameterized Algebras of Finite Type. American Journal of Mathematics. 82(4). 831–831. 3 indexed citations

19.

Hironaka, Heisuke. (1958). A note on algebraic geometry over ground rings: the invariance of Hilbert characteristic functions under the specialization process. Illinois Journal of Mathematics. 2(3). 14 indexed citations

20.

Hironaka, Heisuke. (1957). On the arithmetic genera and the effective genera of algebraic curves. Kyoto journal of mathematics. 30(2). 43 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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