巻号一覧
32 巻 (2009)
- 3 号 p. 391-
- 2 号 p. 179-
- 1 号 p. 1-
32 巻, 2 号
選択された号の論文の8件中1～8を表示しています
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Jörg Schmeling, Bernd O. Stratmann2009 年 32 巻 2 号 p. 179-196
発行日: 2009年
公開日: 2009/06/27
ジャーナル フリーIn this paper we introduce and study a certain intricate Cantor-like set ${¥mathcal C}$ contained in unit interval. Our main result is to show that the set ${¥mathcal C}$ itself, as well as the set of dissipative points within ${¥mathcal C}$, both have Hausdorff dimension equal to 1. The proof uses the transience of a certain non-symmetric Cauchy-type random walk.抄録全体を表示PDF形式でダウンロード (157K) -
Alexander M. Kasprzyk2009 年 32 巻 2 号 p. 197-208
発行日: 2009年
公開日: 2009/06/27
ジャーナル フリーA fake weighted projective space X is a Q-factorial toric variety with Picard number one. As with weighted projective space, X comes equipped with a set of weights (λ0, ..., λn). We see how the singularities of P (λ0, ..., λn) influence the singularities of X, and how the weights bound the number of possible fake weighted projective spaces for a fixed dimension. Finally, we present an upper bound on the ratios λj/Σλi if we wish X to have only terminal (or canonical) singularities.抄録全体を表示PDF形式でダウンロード (103K) -
Fernanda Ester Camillo Camargo, Rosa Maria Barreiro Chaves, Luiz Amanc ...2009 年 32 巻 2 号 p. 209-230
発行日: 2009年
公開日: 2009/06/27
ジャーナル フリーIn this paper we study n-dimensional complete spacelike submanifolds with constant normalized scalar curvature immersed in semi-Riemannian space forms. By extending Cheng-Yau's technique to these ambients, we obtain results to such submanifolds satisfying certain conditions on both the squared norm of the second fundamental form and the mean curvature. We also characterize compact non-negatively curved submanifolds in De Sitter space of index p.抄録全体を表示PDF形式でダウンロード (157K) -
Saroj Kumar Dash, Tanaya Patel, Swadheenananda Pattanayak2009 年 32 巻 2 号 p. 231-237
発行日: 2009年
公開日: 2009/06/27
ジャーナル フリーWe show that the random Fourier-Stieltjes (RFS) series associated with a stochastic process of independent and symmetric increments whose laws belong to the domain of symmetric stable distribution converges in the mean to a stochastic integral. We also show that the conjugate RFS series converges in the mean to a stochastic integral. Both the series are also shown to be Abel summable.抄録全体を表示PDF形式でダウンロード (72K) -
Daisuke Hirose2009 年 32 巻 2 号 p. 238-255
発行日: 2009年
公開日: 2009/06/27
ジャーナル フリーMustaţă, Takagi and Watanabe define F-thresholds, which are invariants of a pair of ideals in a ring of characteristic p > 0. In their paper, it is proved that F-thresholds are equal to jumping numbers of test ideals on regular local rings. In this note, we give formulas of F-thresholds and F-jumping coefficients on toric rings. By these formulas, we prove that there exists an inequality between F-jumping coefficients and F-thresholds. In particular, we observe a difference between F-pure thresholds and F-thresholds on certain rings. As applications, we give a characterization of regularity for toric rings defined by simplicial cones, and we prove the rationality of F-thresholds on certain rings.抄録全体を表示PDF形式でダウンロード (140K) -
Yanping Chen, Yong Ding2009 年 32 巻 2 号 p. 256-323
発行日: 2009年
公開日: 2009/06/27
ジャーナル フリーIn this paper, the authors prove that the commutator [b,L] is a compact operator in Lp(Rn) if and only if b ∈ VMO(Rn), where L denotes the Littlewood-Paley operators, such as the Littlewood-Paley g-function, Lusin area integral and Littlewood-Paley gλ* function.抄録全体を表示PDF形式でダウンロード (411K) -
Nicolas Dutertre2009 年 32 巻 2 号 p. 324-351
発行日: 2009年
公開日: 2009/06/27
ジャーナル フリーWe consider a real analytic map-germ (f,g):(Rn,0) → (R2,0) such that the fibres of f are simultaneously parallelizable. We call such a map a partially parallelizable map. We establish degree formulas for the following quantities:
χ ({f = α} ∩ {g = δ} ∩ Bεn),
χ ({f = α} ∩ {g ≥ δ} ∩ Bεn) - χ ({f = α} ∩ {g ≤ δ} ∩ Bεn),
where (α, δ) is a regular value of (f,g) and 0 < |(α, δ)| « ε « 1.抄録全体を表示PDF形式でダウンロード (215K) -
Nobushige Toda2009 年 32 巻 2 号 p. 352-389
発行日: 2009年
公開日: 2009/06/27
ジャーナル フリーFor a transcendental holomorphic curve and a subset of Cn + 1 - {0} in subgeneral position, we consider the truncated defect relation by using a generalization of Nochka weight function introduced in [12] and its supplement in Section 3. When it is not extremal, we estimate the sum of defects and when it is extremal, we investigate the number of vectors each defect of which is equal to 1 or the structure of vectors each defect of which is positive.抄録全体を表示PDF形式でダウンロード (221K)
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