Table of contents

Volume 60

Number 5, October 2005

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COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY

967
On continuous and irreducible Frobenius n-homomorphisms

View article, On continuous and irreducible Frobenius n-homomorphisms PDF, On continuous and irreducible Frobenius n-homomorphisms
https://doi.org/10.1070/RM2005v060n05ABEH003738
970
On the growth of almost soluble Lie algebras

and

View article, On the growth of almost soluble Lie algebras PDF, On the growth of almost soluble Lie algebras
https://doi.org/10.1070/RM2005v060n05ABEH003739
973
On the mixed problem for the Helmholtz equation in a planar domain with cuts

and

View article, On the mixed problem for the Helmholtz equation in a planar domain with cuts PDF, On the mixed problem for the Helmholtz equation in a planar domain with cuts
https://doi.org/10.1070/RM2005v060n05ABEH003740
975
Hochschild cohomology and extensions

View article, Hochschild cohomology and extensions PDF, Hochschild cohomology and extensions
https://doi.org/10.1070/RM2005v060n05ABEH003741
977
Asymptotics of multidimensional difference equations

, and

View article, Asymptotics of multidimensional difference equations PDF, Asymptotics of multidimensional difference equations
https://doi.org/10.1070/RM2005v060n05ABEH003742
979
Primitive rings with a pseudo-involution

View article, Primitive rings with a pseudo-involution PDF, Primitive rings with a pseudo-involution
https://doi.org/10.1070/RM2005v060n05ABEH003743
981
On quasi-Stäckel Hamiltonians

and

View article, On quasi-Stäckel Hamiltonians PDF, On quasi-Stäckel Hamiltonians
https://doi.org/10.1070/RM2005v060n05ABEH003744
984
On the length of the algebra of upper-triangular matrices

View article, On the length of the algebra of upper-triangular matrices PDF, On the length of the algebra of upper-triangular matrices
https://doi.org/10.1070/RM2005v060n05ABEH003745
986
Zeta-functions of conic bundles and of del Pezzo surfaces of degree 4 over finite fields

View article, Zeta-functions of conic bundles and of del Pezzo surfaces of degree 4 over finite fields PDF, Zeta-functions of conic bundles and of del Pezzo surfaces of degree 4 over finite fields
https://doi.org/10.1070/RM2005v060n05ABEH003737
988
The symplectic structure on the orbits of the co-adjoint representation is the differential of a rational 1-form

View article, The symplectic structure on the orbits of the co-adjoint representation is the differential of a rational 1-form PDF, The symplectic structure on the orbits of the co-adjoint representation is the differential of a rational 1-form
https://doi.org/10.1070/RM2005v060n05ABEH003746
991
On polynomials orthogonal on several segments with indefinite weight

View article, On polynomials orthogonal on several segments with indefinite weight PDF, On polynomials orthogonal on several segments with indefinite weight
https://doi.org/10.1070/RM2005v060n05ABEH003747

MATHEMATICAL LIFE

995
Yakov Grigor'evich Sinai (on his 70th birthday)

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View article, Yakov Grigor'evich Sinai (on his 70th birthday) PDF, Yakov Grigor'evich Sinai (on his 70th birthday)
https://doi.org/10.1070/RM2005v060n05ABEH003748

MATHEMATICAL EVENTS

999
Congratulation to Grigorii Aleksandrovich Margulis

View article, Congratulation to Grigorii Aleksandrovich Margulis PDF, Congratulation to Grigorii Aleksandrovich Margulis
https://doi.org/10.1070/RM2005v060n05ABEH000858
1001
The following article is Free article
Errata to the paper by L C Siebenmann "The Osgood-Schoenflies theorem revisited" Russian Mathematical Surveys, Volume 60 (2005), Number 4, Pages 645-672

View article, Errata to the paper by L C Siebenmann "The Osgood-Schoenflies theorem revisited" Russian Mathematical Surveys, Volume 60 (2005), Number 4, Pages 645-672 PDF, Errata to the paper by L C Siebenmann "The Osgood-Schoenflies theorem revisited" Russian Mathematical Surveys, Volume 60 (2005), Number 4, Pages 645-672
https://doi.org/10.1070/RM2005v060n05ABEH004295
1001
The following article is Free article
Errata to the paper by S I Adian, A A Mal'tsev, E V Sandrakova, A B Sosinskii, A V Chernavskii, M A Shtan'ko, 'Lyudmila Vsevolodovna Keldysh (on the centenary of her birth)', Russian Mathematical Surveys, 2005, 60 (4), 581-588

View article, Errata to the paper by S I Adian, A A Mal'tsev, E V Sandrakova, A B Sosinskii, A V Chernavskii, M A Shtan'ko, 'Lyudmila Vsevolodovna Keldysh (on the centenary of her birth)', Russian Mathematical Surveys, 2005, 60 (4), 581-588

In the previous issue of Russian Mathematical Surveys (60:4) the name of one of the authors of the first article, "Lyudmila Vsevolodovna Keldysh", was misspelt: on page 588, line +9, "Charnavskii" "Chernavskii"

https://doi.org/10.1070/RM2005v060n05ABEH004296
805
Investigation of groups with finiteness conditions in Krasnoyarsk

, and

View article, Investigation of groups with finiteness conditions in Krasnoyarsk PDF, Investigation of groups with finiteness conditions in Krasnoyarsk

This is a survey of results in group theory obtained in the Krasnoyarsk school during the last forty years and concerning infinite groups with finiteness conditions.

https://doi.org/10.1070/RM2005v060n05ABEH003734
849
Diagrammatic approach to the 3D Navier-Stokes system

View article, Diagrammatic approach to the 3D Navier-Stokes system PDF, Diagrammatic approach to the 3D Navier-Stokes system

This paper concerns the 3-dimensional Navier-Stokes system (NSS) on which describes the dynamics of viscous incompressible fluids without external forcing. For bounded initial conditions with compact support a locally convergent series is constructed which gives the solution of the NSS and whose coefficients are multidimensional integrals called diagrams. Estimates are given for various classes of diagrams and it is shown in particular that simple diagrams decay faster than exponentially.

https://doi.org/10.1070/RM2005v060n05ABEH003735
875
Birationally rigid Fano varieties

View article, Birationally rigid Fano varieties PDF, Birationally rigid Fano varieties

The birational superrigidity and, in particular, the non-rationality of a smooth three-dimensional quartic was proved by V. Iskovskikh and Yu. Manin in 1971, and this led immediately to a counterexample to the three-dimensional Lüroth problem. Since then, birational rigidity and superrigidity have been proved for a broad class of higher-dimensional varieties, among which the Fano varieties occupy the central place. The present paper is a survey of the theory of birationally rigid Fano varieties.

https://doi.org/10.1070/RM2005v060n05ABEH003736