All issues
Volume 63 (2011)
- Issue 4 Pages 1085-
- Issue 3 Pages 715-
- Issue 2 Pages 363-
- Issue 1 Pages 1-
Predecessor
- Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
- Proceedings of the Tokyo Mathematico-Physical Society. 2nd Series
- Tokyo Sugaku-Butsurigakukwai Kiji-Gaiyo
- Tokyo Sugaku-Butsurigakkwai Hokoku
- Tokyo Sugaku-Butsurigaku Kwai Kiji
- Tokyo Sugaku-Butsurigaku Kwai Kiji
- Tokyo Sugaku Kaisya Zasshi
Volume 63, Issue 4
Displaying 1-10 of 10 articles from this issue
- |<
- <
- 1
- >
- >|
-
Takashi Aoki, Naofumi Honda2011 Volume 63 Issue 4 Pages 1085-1119
Published: 2011
Released on J-STAGE: November 17, 2011
JOURNAL FREE ACCESSThe system of algebraic equations for the leading terms of formal solutions to the Noumi-Yamada systems with a large parameter is studied. A formula which gives the number of solutions outside of turning points is established. The number of turning points of the first kind is also given.View full abstractDownload PDF (312K) -
Piotr Malicki, Andrzej Skowroński2011 Volume 63 Issue 4 Pages 1121-1154
Published: 2011
Released on J-STAGE: November 17, 2011
JOURNAL FREE ACCESSWe establish an inequality between the dimensions of the endomorphism and extension spaces of the indecomposable modules in generalized standard almost cyclic coherent components of the Auslander-Reiten quivers of finite dimensional algebras over an arbitrary base field. As an application we provide a homological characterization, involving the Euler quadratic form, of the tame algebras with separating families of almost cyclic coherent Auslander-Reiten components.View full abstractDownload PDF (396K) -
Zhen Guo, Jianbo Fang, Limiao Lin2011 Volume 63 Issue 4 Pages 1155-1186
Published: 2011
Released on J-STAGE: November 17, 2011
JOURNAL FREE ACCESSLet Mm be an m-dimensional submanifold without umbilical points in the m+1-dimensional unit sphere Sm+1. Three basic invariants of Mm under the Möbius transformation group of Sm+1 are a 1-form Φ called Möbius form, a symmetric (0,2) tensor A called Blaschke tensor and a positive definite (0,2) tensor g called Möbius metric. We call the Blaschke tensor is isotropic if there exists a function λ such that A = λg. One of the basic questions in Möbius geometry is to classify the hypersurfaces with isotropic Blaschke tensor. When λ is constant, the classification was given by Changping Wang and others. When λ is not constant, all hypersurfaces with dimensional m ≥ 3 and isotropic Blaschke tensor are explicitly expressed in this paper. Therefore, for the dimensional m ≥ 3, the above basic question is completely answered.View full abstractDownload PDF (270K) -
Matthias Schütt2011 Volume 63 Issue 4 Pages 1187-1201
Published: 2011
Released on J-STAGE: November 17, 2011
JOURNAL FREE ACCESSThis paper investigates the Picard numbers of quintic surfaces. We give the first example of a complex quintic surface in P3 with maximum Picard number ρ = 45. We also investigate its arithmetic and determine the zeta function. Similar techniques are applied to produce quintic surfaces with several other Picard numbers that have not been achieved before.View full abstractDownload PDF (228K) -
Tomonori Moriyama2011 Volume 63 Issue 4 Pages 1203-1262
Published: 2011
Released on J-STAGE: November 17, 2011
JOURNAL FREE ACCESSWe study the generalized Whittaker models for G = GSp(2,R) associated with indefinite binary quadratic forms when they arise from two standard representations of G: (i) a generalized principal series representation induced from the non-Siegel maximal parabolic subgroup and (ii) a (limit of) large discrete series representation. We prove the uniqueness of such models with moderate growth property. Moreover we express the values of the corresponding generalized Whittaker functions on a one-parameter subgroup of G in terms of the Meijer G-functions.View full abstractDownload PDF (450K) -
Hidetaka Kitayama2011 Volume 63 Issue 4 Pages 1263-1310
Published: 2011
Released on J-STAGE: November 17, 2011
JOURNAL FREE ACCESSWe give an explicit dimension formula for the spaces of vector valued Siegel cusp forms of degree two with respect to a certain kind of arithmetic subgroups of the non-split Q-forms of Sp(2,R).View full abstractDownload PDF (361K) -
Hiroshi T. Ito, Osanobu Yamada2011 Volume 63 Issue 4 Pages 1311-1357
Published: 2011
Released on J-STAGE: November 17, 2011
JOURNAL FREE ACCESSWe investigate the spectral properties of the Dirac operator with a potential V(x) and two relativistic Schrödinger operators with V(x) and -V(x), respectively. The potential V(x) is assumed to be dilation analytic and diverge at infinity. Our approach is based on an abstract theorem related to dilation analytic methods, and our results on the Dirac operator are obtained by analyzing dilated relativistic Schrödinger operators. Moreover, we explain some relationships of spectra and resonances between Schrödinger operators and the Dirac operator as the nonrelativistic limit.View full abstractDownload PDF (350K) -
Eiichi Bannai, Etsuko Bannai2011 Volume 63 Issue 4 Pages 1359-1376
Published: 2011
Released on J-STAGE: November 17, 2011
JOURNAL FREE ACCESSThe main purpose of this paper is to show the nonexistence of tight Euclidean 9-designs on 2 concentric spheres in Rn if n ≥ 3. This in turn implies the nonexistence of minimum cubature formulas of degree 9 (in the sense of Cools and Schmid) for any spherically symmetric integrals in Rn if n ≥ 3.View full abstractDownload PDF (219K) -
Hajime Ono2011 Volume 63 Issue 4 Pages 1377-1389
Published: 2011
Released on J-STAGE: November 17, 2011
JOURNAL FREE ACCESSLet Δ ⊂ Rn be an n-dimensional Delzant polytope. It is well-known that there exist the n-dimensional compact toric manifold XΔ and the very ample (C×)n-equivariant line bundle LΔ on XΔ associated with Δ. In the present paper, we show that if (XΔ, LΔi) is Chow semistable then the sum of integer points in iΔ is the constant multiple of the barycenter of Δ. Using this result we get a necessary condition for the polarized toric manifold (XΔ, LΔ) being asymptotically Chow semistable. Moreover we can generalize the result in [4] to the case when XΔ is not necessarily Fano.View full abstractDownload PDF (220K) -
Yoshikata Kida, Saeko Yamagata2011 Volume 63 Issue 4 Pages 1391-1435
Published: 2011
Released on J-STAGE: November 17, 2011
JOURNAL FREE ACCESSWe prove that if g and n are integers at least two, then the abstract commensurator of the braid group with n strands on a closed orientable surface of genus g is naturally isomorphic to the extended mapping class group of a compact orientable surface of genus g with n boundary components.View full abstractDownload PDF (596K)
- |<
- <
- 1
- >
- >|