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  1. 紀要論文
  2. Ryukyu mathematical journal
  3. 16巻
  1. 部局別インデックス
  2. 理学部

The varieties of subspaces stable under a nilpotent transformation

http://hdl.handle.net/20.500.12000/16127
http://hdl.handle.net/20.500.12000/16127
28d77cba-1f07-404b-b475-79df2823b2a6
名前 / ファイル ライセンス アクション
Vol16p043.pdf Vol16p043.pdf
Item type デフォルトアイテムタイプ(フル)(1)
公開日 2010-03-05
タイトル
タイトル The varieties of subspaces stable under a nilpotent transformation
言語 en
作成者 Maeda, Takashi

× Maeda, Takashi

en Maeda, Takashi

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前田, 高士

× 前田, 高士

ja 前田, 高士

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アクセス権
アクセス権 open access
アクセス権URI http://purl.org/coar/access_right/c_abf2
内容記述
内容記述タイプ Other
内容記述 Let f : V → V be a nilpotent linear transformation of a vector space V of type V = λ, i.e. the size of Jordan blocks λ_1 ≥ λ_2 ≥ ・・・ ≥ λ_1. For an f-stable subspace W of V, i.e. f(W) ⊂ W, the types of W and V/W are those of the maps f|w : W → W and fv/w : V/W → V/W induced by f, respectively. For partitions νand μ we investigate the set S(λ, ν, μ) = {W ⊂ V; f(W) ⊂ W, type W = ν, type V/W = μ} and the singular locus of the Zariski closure X(λ, ν, μ) of S(λ, ν, μ) in the grassmaniann of subspaces of V of dimension |ν|. We show that S(λ, ν, μ) is nonsingular and its connected components are rational varieties (Th.A) ; generic vectors are introduced (Def.18), which define the generic points of the irreducible components of X(λ, ν, μ) whose Plücker coordinates are fairly simple to express their defining equations. We describe explicitly the coordinate ring of an affine openset of X(λ, ν, μ) with the singular locus of codimension two (Prop.C).
内容記述
内容記述タイプ Other
内容記述 紀要論文
出版者
言語 en
出版者 Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus
言語
言語 eng
資源タイプ
資源タイプ departmental bulletin paper
資源タイプ識別子 http://purl.org/coar/resource_type/c_6501
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
識別子
識別子 http://hdl.handle.net/20.500.12000/16127
識別子タイプ HDL
収録物識別子
収録物識別子タイプ ISSN
収録物識別子 1344-008X
収録物識別子
収録物識別子タイプ NCID
収録物識別子 AA10779580
収録物名
言語 en
収録物名 Ryukyu mathematical journal
書誌情報
巻 16, p. 43-71, 発行日 2003-12-30
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