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Volume 33 (2010)
- Issue 3 Pages 367-
- Issue 2 Pages 173-
- Issue 1 Pages 1-
Predecessor
Volume 33, Issue 1
Displaying 1-8 of 8 articles from this issue
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Mutsuo Oka2010 Volume 33 Issue 1 Pages 1-62
Published: 2010
Released on J-STAGE: April 08, 2010
JOURNAL FREE ACCESSMixed functions are analytic functions in variables z1, ..., zn and their conjugates $¥bar z_1$, ..., $¥bar z_n$. We introduce the notion of Newton non-degeneracy for mixed functions and develop a basic tool for the study of mixed hypersurface singularities. We show the existence of a canonical resolution of the singularity, and the existence of the Milnor fibration under the strong non-degeneracy condition.View full abstractDownload PDF (489K) -
Ryo Kawaguchi2010 Volume 33 Issue 1 Pages 63-86
Published: 2010
Released on J-STAGE: April 08, 2010
JOURNAL FREE ACCESSIn this paper, we consider a nonsingular curve C on a nonsingular compact toric surface S and intersection points of C and T-invariant divisors on S. We provide a sufficient condition for a positive integer to be a gap value of C at such points. Under a suitable assumption, it becomes the necessary and sufficient condition. We determine several Weierstrass gap sequences at infinitely near points of a point on a plane curve by using this method.View full abstractDownload PDF (412K) -
Hyun Jae Yoo2010 Volume 33 Issue 1 Pages 87-98
Published: 2010
Released on J-STAGE: April 08, 2010
JOURNAL FREE ACCESSWe characterize the dual spaces of restrictions of a dual pair of reproducing kernel Hilbert spaces in a discrete set. Consequently, we give a canonical dense subset to the restriction spaces. As applications, we reprove a variational principle in a dual pair of reproducing kernel Hilbert spaces. Also we give a geometric representation for the existence and ergodicity condition of equilibrium Glauber and Kawasaki dynamics for some determinantal point processes.View full abstractDownload PDF (114K) -
Mitsuru Nakai, Shigeo Segawa2010 Volume 33 Issue 1 Pages 99-115
Published: 2010
Released on J-STAGE: April 08, 2010
JOURNAL FREE ACCESSAn afforested surface W := <P, (Tn)n∈N, (σn)n∈N>, N being the set of positive integers, is an open Riemann surface consisting of three ingredients: a hyperbolic Riemann surface P called a plantation, a sequence (Tn)n∈N of hyperbolic Riemann surfaces Tn each of which is called a tree, and a sequence (σn)n∈N of slits σn called the roots of Tn contained commonly in P and Tn which are mutually disjoint and not accumulating in P. Then the surface W is formed by foresting trees Tn on the plantation P at the roots for all n ∈ N, or more precisely, by pasting surfaces Tn to P crosswise along slits σn for all n ∈ N. Let ${¥mathcal O}_s$ be the family of hyperbolic Riemann surfaces on which there are no nonzero singular harmonic functions. One might feel that any afforested surface W := <P, (Tn)n∈N, (σn)n∈N> belongs to the family ${¥mathcal O}_s$ as far as its plantation P and all its trees Tn belong to ${¥mathcal O}_s$. The aim of this paper is, contrary to this feeling, to maintain that this is not the case.View full abstractDownload PDF (147K) -
Ayumu Inoue2010 Volume 33 Issue 1 Pages 116-122
Published: 2010
Released on J-STAGE: April 08, 2010
JOURNAL FREE ACCESSLet K be an n-dimensional knot (n ≥ 1), Q(K) the knot quandle of K, Zq[t±1]/J an Alexander quandle, and C∞(K) the infinite cyclic covering space of Sn+2$¥backslash$K. We show that the set consisting of homomorphisms Q(K) → Zq[t±1]/J is isomorphic to Zq[t±1]/J ⊕ HomZ[t±1] (H1(C∞(K)), Zq[t±1]/J) as Z[t±1]-modules. Here, HomZ[t±1](H1(C∞(K)), Zq[t±1]/J) denotes the set consisting of Z[t±1]-homomorphisms H1(C∞(K)) → Zq[t±1]/J.View full abstractDownload PDF (119K) -
Tatsuyoshi Hamada, Jun-ichi Inoguchi2010 Volume 33 Issue 1 Pages 123-134
Published: 2010
Released on J-STAGE: April 08, 2010
JOURNAL FREE ACCESSReal hypersurfaces in non-flat complex space forms with integrable holomorphic distribution and symmetric φ-Ricci tensor which are φ-Einstein are ruled real hypersurfaces.View full abstractDownload PDF (94K) -
Mitsuhiko Imada2010 Volume 33 Issue 1 Pages 135-163
Published: 2010
Released on J-STAGE: April 08, 2010
JOURNAL FREE ACCESSWe are interested in biaccessible points in the Julia sets of rational functions. D. Schleicher and S. Zakeri studied which points can be biaccessible in the Julia sets of quadratic polynomials with irrationally indifferent fixed points [SZ, Za]. In this paper, we consider the two polynomial families fc(z) = zd + c, gθ(z) = e2πiθz + zd and the cubic rational family hθ,a(z) = e2πiθz2$¥frac{z-a}{1-\bar{a}z}$.View full abstractDownload PDF (538K) -
Takeshi Harui, Takao Kato, Jiryo Komeda, Akira Ohbuchi2010 Volume 33 Issue 1 Pages 164-172
Published: 2010
Released on J-STAGE: April 08, 2010
JOURNAL FREE ACCESSWe obtain several results of quotient curves of smooth plane curves with automorphisms. Such automorphisms can be divided into two types (type I and type II). The quotient curves of smooth plane curves with automorphisms of type I are extremal curves in the sense of Castelnuovo's bound. We also show some partial result on automorphisms of type II and give examples.View full abstractDownload PDF (87K)
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