66 citations
- National Research University Higher School of EconomicsRU13 papers
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6 papers · 1 filter
The Brauer-Siegel and Tsfasman-Vladut Theorems for Almost Normal Extensions of Number Fields
Alexey Zykin
The classical Brauer-Siegel theorem states that if runs through the sequence of normal extensions of such that then $\log h_k R_k/\log \sqrt{…
Energy of a knot: variational principles; Mm-energy
O. N. Karpenkov
Let be the energy of some knot for any from certain class of functions. The problem is to find knots with extremal values of energy. We discuss the notion of the loca…
On examples of two-dimensional periodic continued fractions
O. N. Karpenkov
This paper is a short survey of the recent results on examples of periodic two-dimensional continued fractions (in Klein's model). In the last part of this paper we formulate some…
On the other side of the bialgebra of chord diagrams
V. Tourtchine
In the paper we describe complexes whose homologies are naturally isomorphic to the first term of the Vassiliev spectral sequence computing (co)homology of the spaces of long knots…
Schubert Varieties, Linear Codes and Enumerative Combinatorics
Sudhir R. Ghorpade, Michael A. Tsfasman
We consider linear error correcting codes associated to higher dimensional projective varieties defined over a finite field. The problem of determining the basic parameters of such…
Normalizers of ad-nilpotent ideals
Dmitri I. Panyushev
Let $\be$ be a Borel subalgebra of a complex simple Lie algebra $\g$. An ideal of $\be$ is called ad-nilpotent, if it is contained in $[\be,\be]$. We give several descriptions of t…