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Y INVARIANT MANIFOLDS FOR NONAUTONOMOUS STOCHASTIC EVOLUTION EQUATION

期刊: OSAKA JOURNAL OF MATHEMATICS, 2021; 58 (3)

New results pertaining to the invariant manifolds of stochastic partial differential equations are presented. We prove the existence of local and glob......

MARKOV CHAIN APPROXIMATIONS FOR ONE DIMENSIONAL DIFFUSIONS

期刊: OSAKA JOURNAL OF MATHEMATICS, 2021; 58 (3)

The Markov chain approximation of a one-dimensional symmetric diffusion is investigated in this paper. Given an irreducible reflecting diffusion on a ......

THE COMPOSITION OF R. COHEN'S ELEMENTS AND THE THIRD PERIODIC ELEMENTS IN STABLE HOMOTOPY GROUPS OF SPHERES

期刊: OSAKA JOURNAL OF MATHEMATICS, 2021; 58 (2)

In this paper, we re-compute the cohomology of the Morava stabilizer algebra S (3) [12, 16]. As an application, we show that for p >= 7, if s not e......

LOCALIZATION OF CERTAIN ODD-DIMENSIONAL MANIFOLDS WITH TORUS ACTIONS

期刊: OSAKA JOURNAL OF MATHEMATICS, 2021; 58 (3)

Let a torus T act smoothly on a compact smooth manifold M. If the rational equivariant cohomology H*(T) (M) is a free H*(T) (pt)-module, then accordin......

SMOOTHING OF SEMISTABLE FANO VARIETIES

期刊: OSAKA JOURNAL OF MATHEMATICS, 2020; 57 (3)

In this paper we study the smoothing of a semistable Fano variety over a perfect field k. In characteristic 0, the reduced semistable Fano degenerate ......

MORE ABOUT HAMZA'S THEOREM

期刊: OSAKA JOURNAL OF MATHEMATICS, 2020; 57 (3)

In this short article, we give a necessary and sufficient condition for the form (1.3), like the one in Hamza's theorem, to be closable and prove that......

THE MODULI SPACE OF POINTS IN THE BOUNDARY OF QUATERNIONIC HYPERBOLIC SPACE

期刊: OSAKA JOURNAL OF MATHEMATICS, 2020; 57 (4)

Let F-1(n, m) be the PSp(n, 1)-configuration space of ordered m-tuple of pairwise distinct points in the boundary of quaternionic hyperbolic n-space p......

CLASSIFICATION OF HOMOGENEOUS WILLMORE SURFACES IN S-n

期刊: OSAKA JOURNAL OF MATHEMATICS, 2020; 57 (4)

In this note we consider homogeneous Willmore surfaces in Sn+2. The main result is that a homogeneous Willmore two-sphere is conformally equivalent to......

UNSTABILIZED WEAKLY REDUCIBLE HEEGAARD SPLITTINGS

期刊: OSAKA JOURNAL OF MATHEMATICS, 2019; 56 (1)

In this paper, we give a sufficient condition for a (weakly reducible) Heegaard splitting to be unstabilized and uncritical. We also give a sufficient......

JIF:0.41

THE SOCLE OF THE LAST TERM IN THE MINIMAL INJECTIVE RESOLUTION OF A GORENSTEIN MODULE

期刊: OSAKA JOURNAL OF MATHEMATICS, 2019; 56 (1)

Let R be a left Noetherian ring, S a right Noetherian ring and U-R a Gorenstein module with S = End(U-R). If the injective dimensions of( R)U and U-S ......

JIF:0.41

ON HOCHSTER'S FORMULA FOR A CLASS OF QUOTIENT SPACES OF MOMENT-ANGLE COMPLEXES

期刊: OSAKA JOURNAL OF MATHEMATICS, 2019; 56 (1)

Any finite simplicial complex kappa and a partition of the vertex set of kappa determines a canonical quotient space of the moment-angle complex of ka......

JIF:0.41

CLEFT COEXTENSION FOR SYMMETRIC TWISTED PARTIAL COACTIONS ON COALGEBRAS

期刊: OSAKA JOURNAL OF MATHEMATICS, 2019; 56 (2)

In this paper, we will introduce the concepts of symmetric twisted partial Hopf coactions, and discuss under which conditions a given symmetric twiste......

JIF:0.41

UNIFORM WELL-POSEDNESS FOR A TIME-DEPENDENT GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY

期刊: OSAKA JOURNAL OF MATHEMATICS, 2019; 56 (2)

We study the initial boundary value problem for a time-dependent Ginzburg-Landau model in superconductivity. First, we prove the uniform boundedness o......

JIF:0.41

A CLASSIFICATION PROBLEM ON MAPPING CLASSES ON FIBER SPACES OVER TEICHMULLER SPACES

期刊: OSAKA JOURNAL OF MATHEMATICS, 2019; 56 (2)

Let (S) over tilde be an analytically finite Riemann surface which is equipped with a hyperbolic metric. Let S = (S) over tilde\{one point x}. There e......

JIF:0.41

ROOTED TREES WITH THE SAME PLUCKING POLYNOMIAL

期刊: OSAKA JOURNAL OF MATHEMATICS, 2019; 56 (3)

In this paper we address the following question: When do two rooted trees have the same plucking polynomial? The solution provided in the present pape......

JIF:0.41

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