Hirotachi Abo

418 total citations
15 papers, 173 citations indexed

About

Hirotachi Abo is a scholar working on Computational Mathematics, Computational Theory and Mathematics and Geometry and Topology. According to data from OpenAlex, Hirotachi Abo has authored 15 papers receiving a total of 173 indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Computational Mathematics, 8 papers in Computational Theory and Mathematics and 7 papers in Geometry and Topology. Recurrent topics in Hirotachi Abo's work include Tensor decomposition and applications (10 papers), Polynomial and algebraic computation (7 papers) and Algebraic Geometry and Number Theory (4 papers). Hirotachi Abo is often cited by papers focused on Tensor decomposition and applications (10 papers), Polynomial and algebraic computation (7 papers) and Algebraic Geometry and Number Theory (4 papers). Hirotachi Abo collaborates with scholars based in United States, Italy and Norway. Hirotachi Abo's co-authors include Chris Peterson, Giorgio Ottaviani, Maria Chiara Brambilla, Wolfram Decker, Kristian Ranestad, Tomohide Terasoma and Thomas Kahle and has published in prestigious journals such as Transactions of the American Mathematical Society, Linear Algebra and its Applications and Journal of Algebra.

In The Last Decade

Hirotachi Abo

12 papers receiving 157 citations

Peers

Hirotachi Abo

CM

CTM

GT

AI

ANT

Jarosław Buczyński Poland

Zach Teitler United States

F. L. Zak Russia

Kristian Ranestad Norway

Yaroslav Shitov Russia

Massimiliano Mella Italy

Vassil Kanev Bulgaria

Wolfram Decker Germany

Ragni Piene Norway

Christoph Lossen Germany

Jarosław Buczyński Poland

Hirotachi Abo

108 ×0.9

CM

48 ×0.7

CTM

52 ×1.1

GT

18 ×0.8

AI

23 ×1.0

ANT

Citations per year, relative to Hirotachi Abo Hirotachi Abo (= 1×) peers Jarosław Buczyński

Countries citing papers authored by Hirotachi Abo

Since Specialization

Citations

This map shows the geographic impact of Hirotachi Abo'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 Hirotachi Abo with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Hirotachi Abo more than expected).

Fields of papers citing papers by Hirotachi Abo

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Hirotachi Abo. 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 Hirotachi Abo. The network helps show where Hirotachi Abo may publish in the future.

Co-authorship network of co-authors of Hirotachi Abo

This figure shows the co-authorship network connecting the top 25 collaborators of Hirotachi Abo. A scholar is included among the top collaborators of Hirotachi Abo 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 Hirotachi Abo. Hirotachi Abo is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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15 of 15 papers shown

1.

Abo, Hirotachi, et al.. (2024). Non-Defectivity of Segre–Veronese varieties. Iris (University of Trento). 11(51). 589–602. 1 indexed citations

2.

Abo, Hirotachi. (2020). On the discriminant locus of a rank $n-1$ vector bundle on $\mathbb P^{n-1}$. Portugaliae Mathematica. 77(3). 299–343. 2 indexed citations

3.

Abo, Hirotachi, et al.. (2016). Eigenschemes and the Jordan canonical form. Linear Algebra and its Applications. 496. 121–151. 1 indexed citations

4.

Abo, Hirotachi. (2014). Varieties of completely decomposable forms and their secants. Journal of Algebra. 403. 135–153. 7 indexed citations

5.

Abo, Hirotachi, et al.. (2013). On Waringʼs problem for systems of skew-symmetric forms. Linear Algebra and its Applications. 439(8). 2330–2349.

6.

Abo, Hirotachi, Giorgio Ottaviani, & Chris Peterson. (2011). Non-defectivity of Grassmannians of planes. Journal of Algebraic Geometry. 21(1). 1–20. 18 indexed citations

7.

Abo, Hirotachi & Maria Chiara Brambilla. (2011). New examples of defective secant varieties of Segre–Veronese varieties. Collectanea mathematica. 63(3). 287–297. 13 indexed citations

8.

Abo, Hirotachi. (2010). On non-defectivity of certain Segre–Veronese varieties. Journal of Symbolic Computation. 45(12). 1254–1269. 9 indexed citations

9.

Abo, Hirotachi & Maria Chiara Brambilla. (2009). Secant Varieties of Segre–Veronese Varieties ℙ^m× ℙⁿEmbedded byO(1, 2). Experimental Mathematics. 18(3). 369–384. 16 indexed citations

10.

Abo, Hirotachi, et al.. (2009). Petersen plane arrangements and a surface with multiple 7-secants. Advances in Geometry. 9(3). 349–369. 1 indexed citations

11.

Abo, Hirotachi, Giorgio Ottaviani, & Chris Peterson. (2008). Induction for secant varieties of Segre varieties. Transactions of the American Mathematical Society. 361(2). 767–792. 82 indexed citations

12.

Abo, Hirotachi & Kristian Ranestad. (2006). Construction of rational surfaces of degree 12 in projective fourspace. Journal of Algebraic Geometry. 15(2). 323–338. 1 indexed citations

13.

Abo, Hirotachi & Kristian Ranestad. (2005). Irregular elliptic surfaces of degree 12 in projective fourspace. Mathematische Nachrichten. 278(5). 511–524. 3 indexed citations

14.

Abo, Hirotachi, et al.. (1998). An elliptic conic bundle in $\mathbb{P}^4$ arising from a stable rank-3 vector bundle. Mathematische Zeitschrift. 229(4). 725–741. 17 indexed citations

15.

Abo, Hirotachi, et al.. (1996). Quadratic Residue Graph and Shioda Elliptic Modular Surface $S(4)$. Tokyo Journal of Mathematics. 19(2). 2 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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