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The varieties of subspaces stable under a nilpotent transformation
http://hdl.handle.net/20.500.12000/16127
http://hdl.handle.net/20.500.12000/1612728d77cba-1f07-404b-b475-79df2823b2a6
名前 / ファイル | ライセンス | アクション |
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Item type | デフォルトアイテムタイプ(フル)(1) | |||||||||
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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
× 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 |