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Конечные абелевы подгруппы в группах бирациональных и бимероморфных автоморфизмов
Известия РАН. Серия математическая. 2024. Т. 88. № 5. С. 47–66.
Let X be a complex projective variety. Suppose that the group of birational automorphisms of X contains finite subgroups isomorphic to (Z/NZ)^r for r fixed and N arbitrarily large. We show that r does not exceed 2dim(X). Moreover, the equality holds if and only if X is birational to an abelian variety. We also show that an analogous result holds for groups of bimeromorphic automorphisms of compact Kähler spaces under some additional assumptions.
German O., Illarionov A., Известия РАН. Серия математическая 2026 Т. 90 № 3 С. 3–18
Пусть симплекс с целочисленными вершинами - содержащий ровно одну целочисленную точку, отличную от своих вершин. В работе доказывается, что если точка находится во внутренности симплекса или в относительной внутренности некоторой гиперграни симплекса, то объем симплекса ограничен величиной, зависящей только от размерности, в противном случае объем симплекса может быть сколь угодно большим. Этот результат применяется для вывода асимптотической формулы для среднего числа вершин полиэдров ...
Added: June 29, 2026
Ivchenko A., Nigmatullin R. R., Dorokhin S. V., Mathematics 2026 Vol. 9 No. 4 Article 381
n this paper, we focus on the generalization of the Hurst empirical law and suggest a set of reduced parameters for quantitative description of long-time series. These series are usually considered as a specific response of a complex system (economic, geophysical, electromagnetic and other systems), where successive fixations of external factors become impossible. We consider ...
Added: June 27, 2026
Ivchenko A., Шестопёров А. И., Фомина Е. В., Microgravity Science and Technology 2025 Vol. 37 No. 19 P. 1–19
The paper is dedicated to the analysis of medico-biological data obtained during locomotor testing of astronauts. Accurate data interpretation plays a crucial role in locomotion system monitoring, prophylaxis of long-duration spaceflight negative effects and thus in the development of an autonomous medical support system for deep space expeditions. During the locomotor testing the astronaut changes ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., 2023 3rd International Conference on Innovative Research in Applied Science, Engineering and Technology (IRASET) Mohammedia, Morocco 2023 P. 1–6
The article proposes the architecture for eventdriven Emergency Operation Center with Machine Vision Component. Sources of information are analyzed and approaches to machine vision events for tactical situations detection and estimation are discussed. Messages from Machine Vision Components are converted to Common Alerting Protocol and processed by Operation Center environment for tactical situations recognition. ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., Лукьянченко П. П., Computer Research and Modeling 2023 Vol. 15 No. 1 P. 129–140
In this article we propose a new approach to the analysis of econometric industry parameters for the industry consolidation level. The research is based on the simple industry automatic control model. The state of the industry is measured by quarterly obtained econometric parameters from each industry’s company provided by the tax control regulator. An approach ...
Added: June 26, 2026
Gadzhimirzaev S., Хельвас А. В., International Frequency Sensor Association (IFSA) Publishing, 19-21 February 2025 Granada, Spain 2025 P. 172–176
The paper presents models for an innovative fully robotic warehouse for storing boxed goods. A discrete multiagent simulation of the movement of shuttles in a warehouse for a given sequence of pallet shipments has been implemented. Different strategies for placement of boxes in various areas of a warehouse are evaluated, as well as optimal routing ...
Added: June 26, 2026
Fedorov Timofey, Moscow Mathematical Journal 2026 Vol. 26 No. 1 P. 73–85
We obtain a complete list of smooth projective threefolds over C for which the dimension of the space of vanishing cycles (in H2(Y,Q) of the smooth hyperplane section Y) equals 2. We also obtain a complete list of rank 2 very ample vector bundles E on smooth projective surfaces with c2(E)=3. ...
Added: June 25, 2026
Воронеж: Издательский дом ВГУ, 2026.
В сборнике представлены материалы докладов и лекций, включенных в программу весенней математической школы. ...
Added: June 25, 2026
Воронеж: Издательский дом ВГУ, 2026.
В сборнике представлены материалы докладов и лекций,
включенных в программу Воронежской зимней матаматической школы С. Г. Крейна - 2026. ...
Added: June 25, 2026
Gadzhimirzaev S., Хельвас А. В., Computer Research and Modeling 2026 Vol. 18 No. 2 P. 423–438
This article presents a model of a fully automated warehouse with deep storage racks designed
for boxed goods storage. The study focuses on optimizing warehouse operations through discrete
multiagent simulation of shuttle movements for pallet loading and unloading tasks. The authors
investigate various product placement strategies, including the Nearest Channel Positioning Algorithm
(NCPA), Most Empty ChannelGroup Placement (MECGP), and ...
Added: June 24, 2026
Gaianov N., Parusnikova A., Уфимский математический журнал 2026 Т. 18 № 2 С. 14–22
We consider an algebraic 𝑞–difference equation. We propose a sufficient condition for the existence of a formal power–logarithmic expansion in the vicinity of zero of the solution to such an equation. We apply this sufficient condition to construct the formal expansion of a solution to a certain 𝑞–difference analogue of the fifth Painlevé equation for
particular ...
Added: June 24, 2026
Golota A., Математический сборник 2023 Т. 214 № 1 С. 31–42
Let X be a non-uniruled compact Kähler space of dimension 3. We show that the group of bimeromorphic automorphisms of X is Jordan. More generally, the same result holds for any compact Kähler space admitting a quasi-minimal model. ...
Added: January 16, 2023
Kochergin V., В кн.: Материалы XIV Международного семинара "Дискретная математика и ее приложения" имени академика О.Б.Лупанова (Москва, МГУ, 20-25 июня 2022 г.).: М.: Институт прикладной математики им. М.В. Келдыша РАН, 2022. С. 4–16.
Задача Беллмана является обобщением классической задачи об эффективном возведении в степень, т.\,е. задачи о нахождении величины $l(x^n)$ --- минимального числа операций
умножения, достаточного для вычисления по переменной $x$ величины $x^n$, при этом вычислительная модель допускает возможность многократного использования результатов промежуточных вычислений. Задача Лупанова заключается в нахождении сложности вычисления элемента конечной абелевой группы по ее образующим. Значение ...
Added: October 29, 2022
Kochergin V., Moscow University Mathematics Bulletin 2022 Vol. 77 No. 3 P. 113–119
Abstract: The computational complexity of the element (Formula presented.) of the Abelian group (Formula presented.) (it is supposed that kii for all i) and the computational complexity of the term (Formula presented.) are compared in the paper. The computational complexity means the minimal possible number of multiplication operations, and all the results of intermediate multiplications ...
Added: October 29, 2022
Verbitsky M., Ornea L., / Series arXiv "math". 2021.
An LCK manifold with potential is a complex manifold with a Kahler potential on its cover, such that any deck transformation multiplies the Kahler potential by a constant multiplier. We prove that any homogeneous LCK manifold admits a metric with LCK potential. This is used to give a new proof that any compact homogeneous LCK ...
Added: November 25, 2021
Rogov V., / Series arXiv "math". 2019.
Let X be a compact Kähler manifold with vanishing Riemann curvature. We prove that there exists a manifold X′, deformation equivalent to X, which is not an analytification of any projective variety, if and only if H^0(X, Ω^2)≠0. Using this, we recover a recent theorem of Catanese and Demleitner, which states that a rigid smooth quotient of a complex torus ...
Added: August 19, 2020
Shramov K., International Journal of Mathematics 2019 Vol. 30 No. 11 P. 1950059
Given a holomorphic conic bundle without sections, we show that the orders of finite
groups acting by its fiberwise bimeromorphic transformations are bounded. This provides
an analog of a similar result obtained by Bandman and Zarhin for quasi-projective conic
bundles. ...
Added: December 11, 2019
Prokhorov Y., Mori S., Известия РАН. Серия математическая 2019 Т. 83 № 3 С. 158–212
Росток экстремальной окрестности – это аналитический росток трехмерного многообразия с терминальными особенностями вдоль приведенной полной кривой, допускающий стягивание, слои которого не более чем одномерны. Цель настоящей статьи – дать обзор результатов, касающихся стягиваний с неприводимым центральным слоем, содержащих только одну негоренштейнову точку. ...
Added: June 4, 2019
Galkin S., Popov P., / Series math "arxiv.org". 2018. No. 1810.07001.
Let X(n) denote n-th symmetric power of a cubic surface X. We show that X(4)×X is stably birational to X(3)×X, despite examples when X(4) is not stably birational to X(3). ...
Added: October 19, 2018
Kochergin Vadim V., Discrete Mathematics and Applications 2017 Vol. 27 No. 2 P. 81–95
Let a finite Abelian multiplicative group G be specified by the basis B = {a1, a2, …, aq}, that is, the group G is decomposed into a direct product of cyclic subgroups generated by the elements of the set B: G = 〈a1〉 × 〈a2〉 × … × 〈aq〉. The complexity L(g;B) of an element ...
Added: October 8, 2018
Prokhorov Y., Shramov K., Mathematical Research Letters 2018 Vol. 25 No. 3 P. 957–972
We classify threefolds with non-Jordan birational automorphism groups. ...
Added: October 4, 2018
Prokhorov Y., Annales de l'Institut Fourier 2015 No. 65 P. 1–16
We prove that for a Q-Gorenstein degeneration $X$ of del Pezzo surfaces, the number of non-Du Val singularities is at most $\rho(X)+2$. Degenerations with $\rho(X)+2$ and $\rho(X)+1$ non-Du Val points are investigated. ...
Added: October 17, 2014
Campana F., Demailly J., Verbitsky M., Algebraic Geometry 2014 Vol. 2 P. 131–139
We prove that any compact Kahler 3-dimensional manifold which has no nontrivial complex subvarieties is a torus. This is a very special case of a general conjecture on the structure of so-called simple manifolds, central in the bimeromorphic classi cation of compact Kahler manifolds. The proof follows from the Brunella pseudo-e ectivity theorem, combined with fundamental results ...
Added: April 29, 2014
Prokhorov Y., Springer Proceedings in Mathematics & Statistics 2014 Vol. 79 P. 215–229
We give a sharp bound for orders of elementary abelian 2-groups of birational automorphisms of rationally connected threefolds. ...
Added: January 24, 2014