Kodai Mathematical Journal

Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991

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Volume 21, Issue 2

Displaying 1-10 of 10 articles from this issue

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On log Hodge structures of higher direct images

Toshiharu Matsubara

1998 Volume 21 Issue 2 Pages 81-101
Published: 1998
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138043866

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On Riemannian manifolds admitting a function whose gradient is of constant norm II

Takashi Sakai

1998 Volume 21 Issue 2 Pages 102-124
Published: 1998
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138043867

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We continue to study the metrical structure of complete Riemannian manifolds which admit a smooth function f with ||∇f||≡ 1 for the gradient vector ∇f. We again show that Ricci curvatures controll such metric structure considerably appealing to recent Cheeger-Colding's methods.

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Decomposition of a k-covector with respect to a vector and computing its comass

The Hieu Doan

1998 Volume 21 Issue 2 Pages 125-137
Published: 1998
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2996/kmj/1138043868

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Meromorphic functions sharing three values or sets CM

Ping Li

1998 Volume 21 Issue 2 Pages 138-152
Published: 1998
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138043869

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In this paper, by using a lemma about common 1-points, the author studied the relationship between two meromorphic functions which share three values or three sets CM, and generalised a result obtained recently by E. Mues [4], and weaked the condition of a theorem in [10].

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On sectional genus of k-very ample line bundles on smooth surfaces with non-negative Kodaira dimension

Yoshiaki Fukuma

1998 Volume 21 Issue 2 Pages 153-178
Published: 1998
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138043870

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Let (X, L) be a polarized surface over the complex number field. Assume that L is k-very ample. In this paper, we study the relation between the sectional genus g(L) and the irregularity q(X). In particular we prove g(L)≥(k+2)q(X) if X has the Kodaira dimension κ(X)=0, 1, or (X, L) is some special cases with κ(X)=2. Moreover we classify (X, L) with g(L)=(k+2)q(X) when κ(X)=0 or 1.

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The uniqueness of meromorphic functions with their derivatives

Qing Cai Zhang

1998 Volume 21 Issue 2 Pages 179-184
Published: 1998
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138043871

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In this paper, we deal with the problem of uniqueness of meromorphic functions that share one finite value with their derivatives and obtain some theorems which improve a result given by Rainer Brück.

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On d-spannedness of the adjoint bundles on polarized manifolds

Takeshi Kawachi

1998 Volume 21 Issue 2 Pages 185-191
Published: 1998
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138043872

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Joint distribution of the first hitting time and first hitting place for a random walk

Tadashi Nakajima

1998 Volume 21 Issue 2 Pages 192-200
Published: 1998
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138043873

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A random walk on the real line starting from 0 is considered. A representation of the Lapalace-Fourier transform of the joint distribution of the first hitting time and the first hitting place of the set (−∞, −a) (a>0) is obtained, which gives a relation with the joint distribution of those of the set (−∞, 0). The leading idea is Wiener-Hopf's factorization theorem.

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Submanifolds with parallel mean curvature vector in a sphere

Mei-jiao Wang, Shi-jie Li

1998 Volume 21 Issue 2 Pages 201-207
Published: 1998
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2996/kmj/1138043874

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In this paper, we study submanifolds in a unit sphere with parallel mean curvature vector, a formula of Simons' type is obtained and a corresponding pinching theorem is proved.

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Vanishing theorems for constructible sheaves II

Helmut A. Hamm, Dung Tráng Lê

1998 Volume 21 Issue 2 Pages 208-247
Published: 1998
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2996/kmj/1138043875

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