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Volume 64 (2012)
- Issue 4 Pages 469-
- Issue 3 Pages 317-
- Issue 2 Pages 171-
- Issue 1 Pages 1-
Predecessor
Volume 64, Issue 1
Displaying 1-7 of 7 articles from this issue
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TARAS BANAKH, DUŠAN REPOVŠ2012Volume 64Issue 1 Pages 1-24
Published: March 30, 2012
Released on J-STAGE: February 25, 2016
JOURNAL FREE ACCESSGiven an increasing sequence $(G_n)$ of topological groups, we study the topologies of the direct limits of the sequence $(G_n)$ in the categories of topological groups and of uniform spaces and find conditions under which these two direct limit topologies coincide.View full abstractDownload PDF (197K) -
MASAHARU ISHIKAWA2012Volume 64Issue 1 Pages 25-59
Published: March 30, 2012
Released on J-STAGE: February 25, 2016
JOURNAL FREE ACCESSWe study compatible contact structures of fibered Seifert multilinks in homology 3-spheres and especially give a necessary and sufficient condition for the contact structure to be tight in the case where the Seifert fibration is positively twisted. As a corollary we determine the strongly quasipositivity of fibered Seifert links in $S^3$. We also study the compatible contact structures of cablings along links in any 3-manifolds.View full abstractDownload PDF (1162K) -
YOSHIFUMI TSUCHIMOTO2012Volume 64Issue 1 Pages 61-77
Published: March 30, 2012
Released on J-STAGE: February 25, 2016
JOURNAL FREE ACCESSWe consider a reflexive module of rank one over a degenerate Weyl algebra over a field of positive characteristic. We define an invariant which we call wrinkle of the module and see that it is good enough to distinguish trivial module.View full abstractDownload PDF (390K) -
CHANG-SHOU LIN, HIDEMITSU WADADE2012Volume 64Issue 1 Pages 79-103
Published: March 30, 2012
Released on J-STAGE: February 25, 2016
JOURNAL FREE ACCESSIn this paper, we consider the existence of minimizers of the Hardy-Sobolev type variational problem. Recently, Ghoussoub and Robert [9, 10] proved that the Hardy-Sobolev best constant admits its minimizers provided the bounded smooth domain has the negative mean curvature at the origin on the boundary. We generalize their results by using the idea of Brézis and Nirenberg, and as a consequence, we shall prove the existence of positive solutions to the elliptic equation involving two different kinds of Hardy-Sobolev critical exponents.View full abstractDownload PDF (195K) -
JAROD ALPER2012Volume 64Issue 1 Pages 105-123
Published: March 30, 2012
Released on J-STAGE: February 25, 2016
JOURNAL FREE ACCESSWe study the local properties of Artin stacks and their good moduli spaces, if they exist. We show that near closed points with linearly reductive stabilizer, Artin stacks formally locally admit good moduli spaces. In particular, the geometric invariant theory is developed for actions of linearly reductive group schemes on formal affine schemes. We also give conditions for when the existence of good moduli spaces can be deduced from the existence of étale charts admitting good moduli spaces.View full abstractDownload PDF (189K) -
SHOETSU OGATA2012Volume 64Issue 1 Pages 125-140
Published: March 30, 2012
Released on J-STAGE: February 25, 2016
JOURNAL FREE ACCESSLet $L$ be an ample line bundle on a nonsingular toric 3-fold. We show that if the adjoint bundle of $L$ has no global sections, then $L$ is normally generated. Even if the adjoint bundle is effective, it is shown that $L$ is normally generated if it is not big.View full abstractDownload PDF (258K) -
KANAME HASHIMOTO, TAKASHI SAKAI2012Volume 64Issue 1 Pages 141-169
Published: March 30, 2012
Released on J-STAGE: February 25, 2016
JOURNAL FREE ACCESSWe classify cohomogeneity one special Lagrangian submanifolds in the cotangent bundle of the sphere $S^n$ invariant under $SO(p) \times SO(n+1-p)$ with respect to the Stenzel metric and a Ricci-flat cone Kähler metric. Moreover, we describe the asymptotic behavior and singularities of such special Lagrangian submanifolds.View full abstractDownload PDF (551K)
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