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Volume 62 (2010)
- Issue 4 Pages 1043-
- Issue 3 Pages 687-
- Issue 2 Pages 355-
- 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 62, Issue 1
Displaying 1-12 of 12 articles from this issue
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Tomohiro OKUMA2010 Volume 62 Issue 1 Pages 1-11
Published: January 15, 2010
Released on J-STAGE: February 19, 2010
JOURNAL FREE ACCESSNeumann and Wahl introduced the notion of splice-quotient singularities, which is a broad generalization of quasihomogeneous singularities with rational homology sphere links, and proved the End Curve Theorem that characterizes splice-quotient singularities. The purpose of this paper is to give another proof of the End Curve Theorem. We use combinatorics of “monomial cycles” and some basic ring theory, whereas they applied their theory of numerical semigroups.View full abstractDownload PDF (131K) -
Toshikazu TAKAGI2010 Volume 62 Issue 1 Pages 13-47
Published: January 15, 2010
Released on J-STAGE: February 19, 2010
JOURNAL FREE ACCESSWe calculate the cuspidal class number of a certain quotient curve of the modular curve X0(M) with M square-free. For each factor r of M, let wr denote the Atkin-Lehner type involution of X0(M). Let M0 be a divisor of M, and W0 the subgroup of the automorphism group of X0(M) consisting of all wr with r dividing M0. Our object is the quotient of X0(M) by W0. In this paper, we consider the case where M is odd.View full abstractDownload PDF (285K) -
Gregory LUPTON, Samuel Bruce SMITH2010 Volume 62 Issue 1 Pages 49-81
Published: October 15, 2010
Released on J-STAGE: February 19, 2010
JOURNAL FREE ACCESSWe study Whitehead products in the rational homotopy groups of a general component of a function space. For the component of any based map f : X→Y, in either the based or free function space, our main results express the Whitehead product directly in terms of the Quillen minimal model of f. These results follow from a purely algebraic development in the setting of chain complexes of derivations of differential graded Lie algebras, which is of interest in its own right. We apply the results to study the Whitehead length of function space components.View full abstractDownload PDF (548K) -
Humio ICHIMURA2010 Volume 62 Issue 1 Pages 83-94
Published: October 15, 2010
Released on J-STAGE: February 19, 2010
JOURNAL FREE ACCESSLet p be a prime number. We say that a number field F satisfies the condition (Hp) when any tame cyclic extension N⁄F of degree p has a normal integral basis. We determine all the CM Galois extensions F⁄Q satisfying (Hp) for the case p≥5, using the action of the complex conjugation on several objects associated to F.View full abstractDownload PDF (127K) -
Seiichiro WAKABAYASHI2010 Volume 62 Issue 1 Pages 95-133
Published: October 15, 2010
Released on J-STAGE: February 19, 2010
JOURNAL FREE ACCESSIn this paper we deal with hyperbolic operators of second order whose coefficients depend only on the time variable and give necessary conditions and sufficient conditions for the Cauchy problem to be C∞ well-posed. In particular, we give a necessary and sufficient condition (a complete characterization) for C∞ well-posedness when the space dimension is equal to 2 and the coefficients are real analytic functions of the time variable.View full abstractDownload PDF (285K) -
Hiroki SAKO2010 Volume 62 Issue 1 Pages 135-166
Published: October 15, 2010
Released on J-STAGE: February 19, 2010
JOURNAL FREE ACCESSWe introduce a new class of actions of the group Z2⋊SL(2,Z) on finite von Neumann algebras and call them twisted Bernoulli shift actions. We classify these actions up to conjugacy and give an explicit description of their centralizers. We also distinguish many of those actions on the AFD II1 factor in view of outer conjugacy.View full abstractDownload PDF (256K) -
Thomas FIEDLER, Vitaliy KURLIN2010 Volume 62 Issue 1 Pages 167-211
Published: January 15, 2010
Released on J-STAGE: February 19, 2010
JOURNAL FREE ACCESSTo an oriented link in a solid torus we associate a trace graph in a thickened torus in such a way that links are isotopic if and only if their trace graphs can be related by moves of finitely many standard types. The key ingredient is a study of codimension 2 singularities of link diagrams. For closed braids with a fixed number of strands, trace graphs can be recognized up to equivalence excluding one type of moves in polynomial time with respect to the braid length.View full abstractDownload PDF (1722K) -
Masayuki KAWASHIMA, Mutsuo OKA2010 Volume 62 Issue 1 Pages 213-238
Published: January 15, 2010
Released on J-STAGE: February 19, 2010
JOURNAL FREE ACCESSIn this paper, we compute Alexander polynomials of a torus curve C of type (2,5), C:f(x,y)=f2(x,y)5+f5(x,y)2=0, under the assumption that the origin O is the unique inner singularity and f2=0 is an irreducible conic. We show that the Alexander polynomial remains the same with that of a generic torus curve as long as C is irreducible.View full abstractDownload PDF (226K) -
Stanislav KRAČMAR, Šárka NEČASOVÁ, ...2010 Volume 62 Issue 1 Pages 239-268
Published: January 15, 2010
Released on J-STAGE: February 19, 2010
JOURNAL FREE ACCESSWe study the Oseen problem with rotational effect in exterior three-dimensional domains. Using a variational approach we prove existence and uniqueness theorems in anisotropically weighted Sobolev spaces in the whole three-dimensional space. As the main tool we derive and apply an inequality of the Friedrichs-Poincaré type and the theory of Calderon-Zygmund kernels in weighted spaces. For the extension of results to the case of exterior domains we use a localization procedure.View full abstractDownload PDF (251K) -
Sorin DRAGOMIR, Yoshinobu KAMISHIMA2010 Volume 62 Issue 1 Pages 269-303
Published: January 15, 2010
Released on J-STAGE: February 19, 2010
JOURNAL FREE ACCESSBuilding on the work by J. Jost and C.-J. Xu [32], and E. Barletta et al. [3], we study smooth pseudoharmonic maps from a compact strictly pseudoconvex CR manifold and their generalizations e.g. pseudoharmonic unit tangent vector fields.View full abstractDownload PDF (276K) -
Keiji MATSUMOTO, Hironori SHIGA2010 Volume 62 Issue 1 Pages 305-319
Published: January 15, 2010
Released on J-STAGE: February 19, 2010
JOURNAL FREE ACCESSThe classical Jacobi formula for the elliptic integrals (Gesammelte Werke I, p. 235) shows a relation between Jacobi theta constants and periods of ellptic curves E(λ):w2=z(z−1)(z−λ). In other words, this formula says that the modular form ϑ400(τ) with respect to the principal congruence subgroup Γ(2) of PSL(2,Z) has an expression by the Gauss hypergeometric function F(1⁄2,1⁄2,1;1−λ) via the inverse of the period map for the family of elliptic curves E(λ) (see Theorem 1.1). In this article we show a variant of this formula for the family of Picard curves C(λ1,λ2):w3=z(z−1)(z−λ1)(z−λ2), those are of genus three with two complex parameters. Our result is a two dimensional analogy of this context. The inverse of the period map for C(λ1,λ2) is established in [S] and our modular form ϑ03(u,v) (for the definition, see (2.7)) is defined on a two dimensional complex ball D={2Rev+|u|2<0}, that can be realized as a Shimura variety in the Siegel upper half space of degree 3 by a modular embedding. Our main theorem says that our theta constant is expressed in terms of the Appell hypergeometric function F1(1⁄3,1⁄3,1⁄3,1;1−λ1,1−λ2).View full abstractDownload PDF (155K) -
Der-Chen CHANG, Dachun YANG, Yuan ZHOU2010 Volume 62 Issue 1 Pages 321-353
Published: January 15, 2010
Released on J-STAGE: February 19, 2010
JOURNAL FREE ACCESSLet p∈(0,1]. In this paper, the authors prove that a sublinear operator T (which is originally defined on smooth functions with compact support) can be extended as a bounded sublinear operator from product Hardy spaces Hp(Rn×Rm) to some quasi-Banach space ℬ if and only if T maps all (p,2,s1,s2)-atoms into uniformly bounded elements of ℬ. Here s1≥⌊n(1⁄p−1)⌋ and s2≥⌊m(1⁄p−1)⌋. As usual, ⌊n(1⁄p−1)⌋ denotes the maximal integer no more than n(1⁄p−1). Applying this result, the authors establish the boundedness of the commutators generated by Calderón-Zygmund operators and Lipschitz functions from the Lebesgue space Lp(Rn×Rm) with some p>1 or the Hardy space Hp(Rn×Rm) with some p≤1 but near 1 to the Lebesgue space Lq(Rn×Rm) with some q>1.View full abstractDownload PDF (290K)
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