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Volume 44 (1992)
- Issue 4 Pages 471-
- Issue 3 Pages 305-
- Issue 2 Pages 151-
- Issue 1 Pages 1-
Predecessor
Volume 44, Issue 3
Displaying 1-11 of 11 articles from this issue
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KATSUYA ISHIZAKI1992 Volume 44 Issue 3 Pages 305-325
Published: September 01, 1992
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe treat second order differential equations which have admissible meromorphic solutions. With the aid of Nevanlinna theory, we obtain generalizations of the celebrated theorem of Malmquist-Yosida.View full abstractDownload PDF (805K) -
UDO SIMON1992 Volume 44 Issue 3 Pages 327-334
Published: September 01, 1992
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSOvaloids are uniquely determined by the connections induced from a relative normalization, and the volume form of the relative metric. While the equiaffine interpretations are new, the Euclidean specialization revisits results of Minkowski, Liebmann and Cohn-Vossen.View full abstractDownload PDF (299K) -
FUMIO HAZAMA1992 Volume 44 Issue 3 Pages 335-344
Published: September 01, 1992
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSAn explicit method of construction of a family of abelian varieties each member of which has a large Mordell-Weil rank is given. Also, an example of elliptic curve defined over a function field of one variable such that its Mordell-Weil group is of arbitrarily high rank is constructed.View full abstractDownload PDF (356K) -
YASUO MORITA, ATSUSHI SATO1992 Volume 44 Issue 3 Pages 345-358
Published: September 01, 1992
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSIn this paper, we study distribution of rational points on a hyperelliptic surface defined over an algebraic number field, and show that this distribution is very similar to the distribution of rational points on an abelian surface. As an application, we show that a conjecture of Batyrev-Manin holds for such a surface.View full abstractDownload PDF (529K) -
YOSHIFUMI TAKEDA1992 Volume 44 Issue 3 Pages 359-364
Published: September 01, 1992
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe consider the tangent and cotangent sheaves of generalized Raynaud surfaces, which have cuspidal fibrations and which are mostly of general type. In particular, we compute the dimensions of the space of vector fields and of non-closed differential l-forms.View full abstractDownload PDF (240K) -
XU DAOYI1992 Volume 44 Issue 3 Pages 365-378
Published: September 01, 1992
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSIn this paper sufficient conditions for the boundedness, asymptotic properties and exponential decay are first obtained for solutions of linear systems of integral inequalities with infinite delay. Then nonlinear integro-differential equations are reduced to delay integral inequalities by the variation of parameter formula, and some criteria are given for asymptotic stability, uniformly asymptotic stability and exponential asymptotic stability. The results obtained here are illustrated by examples which have been particularly difficult to treat by means of the standard Lyapunov theory.View full abstractDownload PDF (431K) -
ICHIRO SHIMADA1992 Volume 44 Issue 3 Pages 379-393
Published: September 01, 1992
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe prove, under a certain condition on the dimension, the unirationality of general complete intersections of hypersurfaces which are defined over an algebraically closed field of characteristic p>0 and projectively isomorphic to the Fermat hypersurface of degree q+1 where q is a power of p.View full abstractDownload PDF (588K) -
Brian PARSHALL, Jian-pan WANG1992 Volume 44 Issue 3 Pages 395-423
Published: 1992
Released on J-STAGE: March 18, 2014
JOURNAL FREE ACCESSIn this paper, we investigate the cohomology of infinitesimal quantum groups (and algebras) associated to classical quantum groups (and algebras) at a root of unity. A main result expresses the Ext-groups between irreducible modules in terms of those for the full quantum group. Under the assumption that certain module categories for the quantum group have a Kazhdan-Lusztig theory (in the sense of Cline, Parshall, and Scott), this permits explicit calculations of cohomology in terms of Kazhdan-Lusztig polynomials. This assumption in turn follows from recently announced results of Kazhdan and Lusztig.View full abstractDownload PDF (2422K) -
KATSUMI NOMIZU, BARBARA OPOZDA1992 Volume 44 Issue 3 Pages 425-431
Published: September 01, 1992
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe prove two main results in affine differential geometry that characterize ellipsoids among the ovaloids. The first theorem states that an ovaloid in the 3-dimensional affine space is an ellipsoid if and only if the Laplacian of the normal map is proportional to the normal map. The second theorem says that a hyperovaloid in an affine space of any dimension is a hyperellipsoid if and only if the conormal image (or the normal image) is a hyperellipsoid with center at the origin.View full abstractDownload PDF (307K) -
MASATOSHI KOKUBU1992 Volume 44 Issue 3 Pages 433-442
Published: September 01, 1992
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSUnder some conditions we classify hypersurfaces in a Euclidean space which admit isometric deformations preserving mean curvature.View full abstractDownload PDF (321K) -
KATSUYA MIYAKE1992 Volume 44 Issue 3 Pages 443-469
Published: September 01, 1992
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSLet p be an odd prime. We give a list of certain types of p-groups G with two generators which satisfy the following two conditions (A) and (B): (A) [Ker VG→H: [G, G]]=[G:H] for the transfer homomorphism VG→H: G→H/[H, H] of G to every normal subgroup H with cyclic quotient G/H, and (B) there exists an automorphism φ of G of order 2 such that gφ+1∈[G, G] for every g∈G. These conditions are necessary for G to be the Galois group of the second p-class field of an imaginary quadratic field. The list contains such a group that it may be useful for us to find an imaginary quadratic field with an interesting property on the capitulation problem.View full abstractDownload PDF (790K)
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