Now showing items 1-10 of 125
On the classification of the third reduction with a spectral value condition
(Mathematical Society of Japan, 1997)
On the moduli space of real Enriques surfaces
We introduce a new invariant, Pontryagin-Viro form, of real algebraic surfaces. We evaluate it for real Enriques surfaces with non-negative minimal Euler characteristic of the components of the real part and prove that, ...
On convergence of attainability sets for controlled two-scale stochastic linear systems
(Society for Industrial and Applied Mathematics, 1997)
A limit of attainability sets is found for a linear two-scale stochastic system for the case when the diffusion coefficient of the fast variable is of order ε1/2. The attainability set is defined as the set of distributions ...
J-approximation of complex projective spaces by lens spaces
(Mathematical Sciences Publishers, 1999)
In this paper we study the group J(Lk(n)) of stable fibre homotopy classes of vector bundles over the lens space, Lk(n) = S2k+1/ℤn where ℤn is the cyclic group of order n. We establish the fundamental exact sequences and ...
Rigid isotopy classification of real algebraic curves of bidegree (3,3) on quadrics
(M A I K Nauka - Interperiodica, 1999)
A rigid isotopy of nonsingular real algebraic curves on a quadric is a path in the space of such curves of a given bidegree. We obtain the rigid isotopy classification of nonsingular real algebraic curves of bidegree (3,3) ...
Local structure of holomorphic foliation singularities
(Mathematical Sciences Publishers, 1998)
The local behaviour of the leaves of a singular holomorphic foliation is analyzed around the singularity. It is shown that certain integers classify the singular foliation germs. Maps from simpler classes to more complicated ...
Polarization of free electromagnetic field and electromagnetic radiation in quantum domain
(Institute of Physics Publishing, 1998-07-06)
Il is shown that conventional disreg;ird.of lo.ngitudinal component, which always e~ists iil radiation ofa localized source, can lead to some. qualitative errors in the description 9f polarization within the quantum domain. ...
Poisson structure of dynamical-systems with 3 degrees of freedom
(American Institute of Physics, 1993)
It is shown that the Poisson structure of dynamical systems with three degrees of freedom can be defined in terms of an integrable one-form in three dimensions. Advantage is taken of this fact and the theory of foliations ...
Boundary value problems for integrable equations compatible with the symmetry algebra
(American Institute of Physics, 1995)
Boundary value problems for integrable nonlinear partial differential equations are considered from the symmetry point of view. Families of boundary conditions compatible with the Harry-Dym, KdV, and mKdV equations and ...
Polynomial invariants of finite groups over fields of prime characteristics
(Walter de Gruyter GmbH, 1999)
Let R be a commutative ring with the unit element 1, and let G = Sn be the symmetric group of degree n 2'. 1. Let A~n denote the subalgebra of invariants of the polynomial algebra Arnn = R[x11 , ... ,x1n; ... ;xm1, ... ...