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Volume 51 (1999)
- Issue 4 Pages 433-
- Issue 3 Pages 283-
- Issue 2 Pages 141-
- Issue 1 Pages 1-
Predecessor
Volume 51, Issue 3
Displaying 1-8 of 8 articles from this issue
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BERNHARD RUNGE1999 Volume 51 Issue 3 Pages 283-303
Published: September 01, 1999
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe construct projective models for Humbert surfaces and QCM-curves, i.e., Shimura curves together with their natural embedding into the coarse moduli space for principally polarized abelian surfaces. The points of a QCM-curve correspond to an abelian surface, such that its algebra of complex multiplications is an order in an indefinite rational quaternian algebra. Moreover, we determine the structure of such orders.View full abstractDownload PDF (877K) -
JAE MOON KIM1999 Volume 51 Issue 3 Pages 305-313
Published: September 01, 1999
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSThe aim of this paper is to compute the cohomology groups of circular units in the \bi Z_p-extensions of a real abelian field of prime conductor. Even though the generators of circular units are described very complicatedly, their cohomology groups turn out to be as simple as one can expect compared to the cohomology groups of full unit group found by Iwasawa.View full abstractDownload PDF (288K) -
YOSHIHIRO AIHARA1999 Volume 51 Issue 3 Pages 315-328
Published: September 01, 1999
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSIn this paper we mainly study the effect of the existence of deficient divisors in the sense of Nevanlinna to the uniqueness problem of meromorphic mappings into a projective algebraic manifold M. We give some uniqueness theorems for families of dominant meromorphic mappings from the complex m-space into M with the same preimages of divisors under the additional conditions on Nevanlinna's deficiencies.View full abstractDownload PDF (515K) -
Dedicated to Professor Takeshi Hirai on his sixtieth birthdayMASAKAZU MURO1999 Volume 51 Issue 3 Pages 329-364
Published: September 01, 1999
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSSingular invariant hyperfunctions on the space of real symmetric matrices of size n are discussed in this paper. We construct singular invariant hyperfunctions, i.e., invariant hyperfunctions whose supports are contained in the set of the points of rank strictly less than n, in terms of negative order coefficients of the Laurent expansions of the complex powers of the determinant function. In particular, we give an algorithm to determine the orders of poles of the complex powers of the determinant functions and the support of the singular hyperfunctions appearing in the principal part of the Laurent expansions of the complex powers.View full abstractDownload PDF (1329K) -
TAKAHIRO HAYASHI1999 Volume 51 Issue 3 Pages 365-389
Published: September 01, 1999
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe give a correspondence between a class of quantum groups (face algebras) and a class of AFD II_1-subfactors, which contains both all of those of index less than 4 and all of those of principal graph D_n(1) or E_n(1). Ocneanu's flat connection and a variant of Woronowicz's compact quantum group theory play central roles.View full abstractDownload PDF (926K) -
RAVI P. AGARWAL, DONAL O'REGAN1999 Volume 51 Issue 3 Pages 391-397
Published: September 01, 1999
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSExistence of a positive solution is established for second order boundary value problems on the semi-infinite interval.View full abstractDownload PDF (217K) -
VALERY ALEXEEV, IKU NAKAMURA1999 Volume 51 Issue 3 Pages 399-420
Published: September 01, 1999
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSFor a one-dimensional family of abelian varieties equipped with principal theta divisors a canonical limit is constructed as a pair consisting of a reduced projective variety and a Cartier divisor on it. Properties of such pairs are established.View full abstractDownload PDF (1038K) -
Dedicated to Professor Junji Kato on his sixtieth birthdayJACK K. HALE, DOMINGO SALAZAR1999 Volume 51 Issue 3 Pages 421-432
Published: September 01, 1999
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe study a singular perturbation problem for a certain type of reaction diffusion equation with a space-dependent reaction term. We compare the effect that the presence of boundary layers versus internal layers has on the existence and stability of stationary solutions. In particular, we show that the associated eigenvalues are of different orders of magnitude for the two kinds of layers.View full abstractDownload PDF (476K)
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