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Regular version of the site
Of all publications in the section: 105
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Article
Penkov I., Tikhomirov A. S. Sbornik Mathematics. 2015. Vol. 206. No. 6. P. 814-848.

The Barth-Van de Ven-Tyurin-Sato Theorem states that any finite-rank vector bundle on the complex projective ind-space P∞ is isomorphic to a direct sum of line bundles. We establish sufficient conditions on a locally complete linear ind-variety X which ensure that the same result holds on X. We then exhibit natural classes of locally complete linear ind-varieties which satisfy these sufficient conditions. © 2015 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.

Added: Sep 8, 2015
Article
V. V. Lebedev. Sbornik Mathematics. 2010. Vol. 201. No. 12. P. 1811-1836.

We consider the spaces of function on the circle whose Fourier transform is p-summable. We obtain estimates for the norms of exponential functions deformed by a C1 -smooth phase.

Added: Apr 12, 2012
Article
Шрамов К. А. Математический сборник. 2007. № 198:8. С. 103-114.
Added: Feb 28, 2011
Article
Prokhorov Y. Sbornik Mathematics. 2016. Vol. 207. No. 7. P. 983-1009.

We study singular Fano threefolds of type $ V_{22}$.

Added: Sep 3, 2016
Article
Trushin D. Sbornik Mathematics. 2010. Vol. 201. No. 9. P. 1323-1353.

An algebraic technique is presented that does not use results of model theory and makes it possible to construct a general Galois theory of arbitrary nonlinear systems of partial differential equations. The algebraic technique is based on the search for prime differential ideals of special form in tensor products of differential rings. The main results demonstrating the work of the technique obtained are the theorem on the constructedness of the differential closure and the general theorem on the Galois correspondence for normal extensions.

Added: Feb 20, 2018
Article
Пересецкий А. А. Математический сборник. 1972. Т. 88. № 4. С. 536-545.

In this paper a six-valued two-dimensional formal group with ring of coefficients Λ2, lying in ΩU[1/2], is constructed. It is proved that the ring Λ2[1/2] coincides with the image of the ring ΩSU[1/2] in the ring ΩU[1/2]. 

Added: Apr 20, 2018
Article
Netay I. V. Sbornik Mathematics. 2017.

In this work we explicitly calculate the syzygies of the quadratic Veronese embedding ℙ (V) ⊂ ℙ (Sym2V) as representations of the group GL(V ). Resolutions of the sheaves Oℙ (V)(i) are also constructed in the category D(ℙ (Sym2 V)). © 2017 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.

Added: Jun 7, 2017
Article
Akbarov S. S., Shavgulidze E. Sbornik Mathematics. 2003. Vol. 194. No. 9-10. P. 1427-1449.

The Pontryagin-van Kampen duality for locally compact Abelian groups can be generalized in two ways to wider classes of topological Abelian groups: in the first approach the dual group X• is endowed with the topology of uniform convergence on compact subsets of X and in the second, with the topology of uniform convergence on totally bounded subsets of X. The corresponding two classes of groups "reflexive in the sense of Pontryagin-van Kampen" are very wide and are so close to each other that it was unclear until recently whether they coincide or not. A series of counterexamples constructed in this paper shows that these classes do not coincide and also answer several other questions arising in this theory. The results of the paper can be interpreted as evidence that the second approach to the generalization of the Pontryagin duality is more natural.

Added: Sep 23, 2016
Article
Будылин Р. Я. Математический сборник. 2011. Т. 202. № 11. С. 75-97.
Added: Dec 9, 2011
Article
Дегтярев Д. О., Ильин А. М. Математический сборник. 2012. Т. 203. № 11. С. 61-82.
Added: Nov 29, 2015
Article
Федотов С. Н. Математический сборник. 2009. Т. 200. № 7. С. 145-160.
Added: Nov 3, 2015
Article
Р.С. Авдеев Математический сборник. 2012. Т. 203. № 11. С. 3-22.

For an affine spherical homogeneous space G/H of a connected semisimple algebraic group G, we consider the factorization morphism by the action on G/H of a maximal unipotent subgroup of G. We prove that this morphism is equidimensional if and only if the weight semigroup of G/H satisfies a simple condition.

Added: Feb 25, 2014
Article
Gorchinskiy S. O. Sbornik Mathematics. 2006. Vol. 197. No. 1. P. 25-38.
Added: Feb 21, 2011
Article
Жгун В. С. Математический сборник. 2008. Т. 199. № 3. С. 25-44.
Added: Mar 1, 2013
Article
Мажуга А. М., Клячко А. А. Математический сборник. 2018. Т. 209. № 6. С. 75-82.

A theorem of Myasnikov and Roman'kov says that any verbally closed subgroup of a finitely generated free group is a retract. We prove that all free (and many virtually free) verbally closed subgroups are retracts in any finitely generated group.

Added: Oct 30, 2018
Article
Шафаревич А. А. Математический сборник. 2017. Т. 208. № 2. С. 285-310.

Let k be an algebraically closed field of characteristic zero and Ga = (k, +) the additive group of k. An algebraic variety X is said to be flexible if the tangent space at every regular point of X is generated by the tangent vectors to orbits of various regular actions of Ga. In 1972, Vinberg and Popov introduced the class of affine S-varieties which are also known as affine horospherical varieties. These are varieties on which a connected algebraic group acts with an open orbit in such a way that the stationary subgroup of each point in the orbit contains a maximal unipotent subgroup of G. In this paper the flexibility of affine horospherical varieties of semisimple groups is proved.

Added: Dec 5, 2018
Article
Жукова Н. И. Математический сборник. 2012. Т. 203. № 3. С. 79-106.
Added: Sep 28, 2014
Article
Буфетов А. И. Математический сборник. 2011. Т. 202. № 3. С. 37-46.

The model of statistical physics on a countable amenable group G is considered. For the natural action of G on the space of configurations S^G, and for any closed invariant set X we prove that there exists pressure which corresponds to a potential with finite norm on X (in the sense of the limit with respect to any Følner sequence of sets in G). The existence of an equilibrium measure is established. 

 

 

Added: Oct 11, 2013