下村克己

シモムラカツミ | Shimomura Katsumi

所属機関・部署：
ホームページURL (1件)： http://www.math.kochi-u.ac.jp/katsumi/index.html

研究分野 (1件)：幾何学

研究キーワード (2件)：安定ホモトピー論 , Homotopy theory

競争的資金等の研究課題 (26件)：

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論文 (62件)：

Eva Belmont, Katsumi Shimomura. Beta families arising from a v_2^9 self map on S/(3,v_1^8). Algebraic & Geometric Topology. 2022
Katsumi Shimomura. A relation among Hopkins' Picard groups of the localized categories with respect to finite wedges of the Morava K-theories. Trans. Amer. Math. Soc. 2022. 375. 9. 6337-6361
Ippei Ichigi, Katsumi Shimomura. On the Picard group graded homotopy groups of a finite type two K(2)-local spectrum at the prime three. Homology, Homotopy and Applications. 2022. 24. 1. 177-203
加藤諒, 下村克己. A note on products in stable homotopy groups of spheres via the classical Adams spectral sequence. Math. J. Okayama Univ. 2021. 63. 107-122
SHIMOMURA Katsumi. A note on Hopkins' Picard groups of the stable homotopy categories of L_n-local spectra. Publ. RIMS, Kyoto Univ. 2020. 56. 1. 195-205

MISC (44件)：

I. Ichigi, K. Shimomura. The chromatic $E_1$-term $mbox{Ext}^{0}(v_3^{-1}BP_*/(2,v_1,v_2^{\infty})[t_1]). Mem. Fac. Sci. Kochi Univ. (Math.). 2000. 21. 63-71
On the action of β₁ in the stable homotopy of spheres at the prime 3. Hiroshima mathematical journal. 2000. 30. 2. 345-362
The homotopy groups of the L₂-localized mod 3 Moore spectrum. Journal of the mathematical society of Japan. 2000. 52. 1. 65-90
The Adams-Novikov E₂-term for computing π_*(L₂V(0)) at the prime 2. Topology and its Application. 1999. 96. 133-152
The homotopy groups of an L₂-localized type one finite spectrum at the prime 2. Hiroshima Math. J. 1998. 28. 113-127

学歴 (4件)：

学位 (1件)：

経歴 (8件)：

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所属学会 (4件)：

American Mathematical Society(米国数学会) , 日本数学会 , Mathematical Society of Japan , American Mathematical Society

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下村 克己