Mathematical works of Hiroshi Umemura

Okamoto, Kazuo; Ohyama, Yousuke

doi:10.5802/afst.1656

Okamoto, Kazuo ¹ ; Ohyama, Yousuke ²

¹ National Institution for Academic Degrees and Quality Enhancement of Higher Education, 1-29-1 Gakuen-nishimachi Kodaira-shi, Tokyo 187-8587, Japan
² Department of Mathematical Sciences, Tokushima University, 2-1 Minamijyousanjima-cho, Tokushima 770-8506, Japan

Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 29 (2020) no. 5, pp. 1053-1062.

Résumé
Abstract

Nous donnons un aperçu des recherches mathématiques de Hiroshi Umemura sur la géométrie algébrique, les équations de Painlevé et la théorie de Galois différentielle.

We give an overview of Umemura’s mathematical research on algebraic geometry, the Painlevé equations and the Galois differential theory.

Publié le : 2021-04-12

DOI : 10.5802/afst.1656

Affiliations des auteurs :

Okamoto, Kazuo ¹ ; Ohyama, Yousuke ²

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Okamoto, Kazuo; Ohyama, Yousuke. Mathematical works of Hiroshi Umemura. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 29 (2020) no. 5, pp. 1053-1062. doi : 10.5802/afst.1656. http://www.numdam.org/articles/10.5802/afst.1656/

Bibliographie
Cité par

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[6] Fukutani, Satoshi; Okamoto, Kazuo; Umemura, Hiroshi Special polynomials and the Hirota bilinear relations of the second and the fourth Painlevé equations, Nagoya Math. J., Volume 159 (2000), pp. 179-200 | DOI | Zbl

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[23] Umemura, Hiroshi Fibrés vectoriels positifs sur une courbe elliptique, Bull. Soc. Math. Fr., Volume 100 (1972), pp. 431-433 | DOI | Numdam | MR | Zbl

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[25] Umemura, Hiroshi Cohomological dimension of group schemes, Nagoya Math. J., Volume 52 (1973), pp. 47-52 | DOI | MR | Zbl

[26] Umemura, Hiroshi Some results in the theory of vector bundles, Nagoya Math. J., Volume 52 (1973), pp. 97-128 | DOI | MR | Zbl

[27] Umemura, Hiroshi A theorem of Matsushima, Nagoya Math. J., Volume 54 (1974), pp. 123-134 | DOI | MR | Zbl

[28] Umemura, Hiroshi Stable vector bundles with numerically trivial Chern classes over a hyperelliptic surface, Nagoya Math. J., Volume 59 (1975), pp. 107-134 | DOI | MR | Zbl

[29] Umemura, Hiroshi On a certain type of vector bundles over an Abelian variety, Nagoya Math. J., Volume 64 (1976), pp. 31-45 | DOI | MR | Zbl

[30] Umemura, Hiroshi On a property of symmetric products of a curve of genus 2, Proceedings of the International Symposium on Algebraic Geometry (Kyoto, 1977), Kinokuniya Book-Store, 1977, pp. 709-721 | Zbl

[31] Umemura, Hiroshi On a theorem of Ramanan, Nagoya Math. J., Volume 69 (1978), pp. 131-138 | DOI | MR | Zbl

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[33] Umemura, Hiroshi Sur les sous-groupes algébriques primitifs du groupe de Cremona à trois variables, Nagoya Math. J., Volume 79 (1980), pp. 47-67 | DOI | MR | Zbl

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[35] Umemura, Hiroshi On the maximal connected algebraic subgroups of the Cremona group. I, Nagoya Math. J., Volume 88 (1982), pp. 213-246 | DOI | MR | Zbl

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[37] Umemura, Hiroshi Resolutions of algebraic equations by theta constants, Tata Lectures on Theta II (Progress in Mathematics), Volume 43, Birkhäuser, 1984 | Zbl

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[45] Umemura, Hiroshi On the Lie-Drach-Vessiot theory, Proceeding of symposium on algebraic geometry, 1989, pp. 173-198

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[48] Umemura, Hiroshi Classical solutions to Painlevé equations, RIMS Kokyuroku, Volume 857 (1994), pp. 63-80 | Zbl

[49] Umemura, Hiroshi On a class of numbers generated by differential equations related with algebraic groups, Nagoya Math. J., Volume 133 (1994), pp. 1-55 | DOI | MR

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