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Rationality of Fano threefolds over non-closed fields
American Journal of Mathematics. 2023. Vol. 145. No. 2. P. 335–411.
Kuznetsov A., Prokhorov Y.
We give necessary and sufficient conditions for unirationality and rationality of Fano threefolds of geometric Picard rank-1 over an arbitrary field of zero characteristic.
Publication based on the results of:
Podinovskiy V. V., Нелюбин А. П., Автоматика и телемеханика 2026 № 8 С. 110–123
Для многокритериальных задач принятия решений по аналогии с качественной вероятностью введены понятия полной и частичной качественной важности как бинарных отношений, обладающих постулируемыми
свойствами. Предложено новое определение отношения нестрогого предпочтения на множестве вариантов решений, порождаемое качественной
важностью. Исследованы его свойства. Указаны аналитические правила,
позволяющие попарно сравнивать варианты по предпочтительности. Проведено сравнение новых отношений предпочтения с разработанными ранее для задач, ...
Added: September 9, 2026
Podinovskiy V. V., Нелюбин А. П., Автоматика и телемеханика 2026 № 7 С. 113–126
Рассматриваются задачи принятия решений, когда предпочтения оцениваются в порядковой шкале, а возможности реализации значений
неопределенного фактора описываются качественной вероятностью (полной или только частичной). Вводятся определения отношений предпочтения и безразличий на множестве стратегий. Предлагаются простые
решающие правила, позволяющие сравнивать стратегии по предпочтительности, и приводятся иллюстративные примеры. ...
Added: September 9, 2026
Chemical Papers 2026
Benzenoid hydrocarbons are structurally regular aromatic compounds, which makes them well suited for quantitative structure–property relationship (QSPR) studies. This study presents a QSPR analysis of nineteen benzenoid hydrocarbon species using degree-based topological co-indices. We developed a Python program to compute eleven degree-based topological co-indices from molecular graphs and evaluated their ability to explain variations in ...
Added: September 8, 2026
Glutsyuk A., / Series arXiv "math". 2026.
B.Josephson (Nobel Prize, 1973) predicted a tunnelling effect for a system of two superconductors separated by a narrow dielectric (such a system is called Josephson junction): existence of a supercurrent through it and equations governing it. The overdamped Josephson junction is modeled by the family of differential equations on the 2-torus, dθdτ=1ω(cosθ+B+Acosτ), which is known as ...
Added: September 8, 2026
Glutsyuk A., / Series arXiv "math". 2026.
A planar dual billiard is a planar curve γ equipped with a family (σP)|P∈γ of projective involutions of the projective lines LP tangent to γ at P that fix P. A dual billiard is called rationally integrable, if there exists a rational function R(x,y) of two variables (called first integral) whose restriction to each tangent ...
Added: September 8, 2026
Alexandrov A., Glutsyuk A., Journal of Differential Equations 2026 Vol. 465 Article 114178
The overdamped Josephson junction in superconductivity theory can be modeled by the family of dynamical systems on the torus, which is known as the RSJ model. This family admits an equivalent description by a family of second-order differential equations: special double confluent Heun equations. In the present paper, we construct two new families of dynamical systems on ...
Added: September 8, 2026
Glutsyuk A., Inventiones Mathematicae 2026 Vol. 245 P. 977–1058
A caustic of a strictly convex planar bounded billiard is a smooth curve whose tangent lines are reflected from the billiard boundary to its tangent lines. The famous Birkhoff Conjecture, studied by many mathematicians, states that if the billiard boundary has an inner neighborhood foliated by closed caustics, then it is an ellipse. In the paper we study ...
Added: September 8, 2026
Prikhodko Artem, Kubrak D., Compositio Mathematica 2026 Vol. 162 No. 6 P. 1377–1438
In this follow-up paper we show that smooth Hodge-proper stacks over O𝐾 are ℚ𝑝-locally acyclic: namely the natural map between étale ℚ𝑝-cohomology of the algebraic and Raynaud generic fibers is an equivalence. This establishes the ℚ𝑝-case of general conjectures made in D. Kubrak and A. Prikhodko [p-adic Hodge theory for Artin stacks, Mem. Amer. Math. ...
Added: September 7, 2026
Ismailov A., Constructive Approximation 2026
The measure of the positivity set {x ∈ [0; 2π] | f (x) > 0} of a trigonometric polynomial f is bounded from below by the Motzkin density.
We generalize the bound to polynomials in several variables and almost periodic functions.
We then use these generalizations to extend known results on Taikov’s problem. ...
Added: September 7, 2026
Kelbert M., Statistics 2026 Vol. 60
We present variational representations for the weighted divergencies
and exponential error function, and discuss implications for the
statistical inference and entropic optimal transport. ...
Added: September 7, 2026
Kucheryavyy P., Математические заметки 2026 Т. 2026 № 120 С. 380–401
В работе изучаются перестановки, возникающие при упорядочивании по возрастанию дробных долей произведений элементов фиксированной целочисленной последовательности на вещественный параметр. Исследуется количество различных перестановок, которые можно получить таким образом при изменении этого параметра от нуля до единицы. ...
Added: September 7, 2026
Осипов Д.В., Математический сборник 2026 Т. 217 № 9 С. 130–146
Изучаются законы взаимности, связанные с комплексными линейными расслоениями на расслоениях на ориентируемые окружности. В частности, доказывается следующий закон взаимности. Пусть B – комплексное многообразие и πi:Mi→B – расслоение на ориентируемые окружности, где индекс i пробегает конечное множество. Пусть Li и Ni – комплексные линейные расслоения на каждом многообразии Mi. Закон взаимности утверждает, что сумма всех элементов (πi)∗(c1(Li)∪c1(Ni)), где (πi)∗ – ...
Added: September 3, 2026
Basalaev A., Rarovskii A., Journal of Singularities 2026 Vol. 30 P. 61–80
Saito theory associates to an isolated singularity rich structure that plays an important role in mirror symmetry. In this note we construct Saito theory for A and D type Landau-Ginzburg orbifolds. Namely, for the pairs (f,G), where f defines an isolated singularity of A and D type and G is a group of symmetries of ...
Added: September 1, 2026
Rybakov M., Shkatov D., Journal of Logic and Computation 2026 Vol. 36 No. 6 Article exag026
We prove Pi-1-1-hardness, and thus lack of recursive axiomatizability, of constant-domain modal predicate logics defined by a class of Dedekind complete linear Kripke frames containing a frame with an infinitely increasing chain of worlds. The result holds even for the language with one unary predicate letter, one propositional letter, and two individual variables. ...
Added: September 1, 2026
Селянин Ф. И., Moscow Mathematical Journal 2026 Vol. 26 No. 2 P. 167–187
Minkowski mixed volume of n subpolytopes D1,…,Dn of a polytope P⊂Rn clearly does not exceed the normalized volume n!Vol(P). Equality holds if and only if the subpolytopes are interlaced, i.e., each proper face F⊊P intersects at least dim(F)+1 of the polytopes Di. Efficiently computing mixed volumes for more general collections of subpolytopes is crucial for estimating the complexity of numerically solving polynomial systems.
Motivated by relaxing the bound dim(F)+1 to dim(F), we ...
Added: August 31, 2026
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., International Mathematics Research Notices 2026 Vol. 14 Article rnag146
We prove a recent conjecture of the fourth named author with P. Norbury that states a system of universal polynomial relations among the kappa classes on the moduli spaces of algebraic curves. The proof involves localization and materialization analysis of the spin Gromov–Witten theory of the projective line and is dictated by Z 2 -equivariant ...
Added: August 31, 2026
Ключников И. К., Saakyan T. V., Финансовый журнал 2025 Т. 17 № 1 С. 74–91
Subject. Rationality and efficiency of budgeting state subsidies to business entities. Objectives. To develop a science-based system for assessing the rationality and effectiveness of the process of state subsidization of business entities. Results. The interrelation of rationality and efficiency of the process of budgeting subsidies to business entities is substantiated. Determination of the logic of ...
Added: June 1, 2026
Кырма В. В., Орлова Е. О., Rozmainsky I. V., Журнал институциональных исследований 2025 Т. 17 № 3 С. 136–156
In this paper, we conducted a study of the prevalence of cheating among university students and analyzed the factors contributing to this phenomenon. Cheating is a form of opportunism, when an individual chooses a strategy to achieve success through deception, manipulation, or forgery. The research was carried out on the basis of a survey created ...
Added: October 8, 2025
Loginov K., Przyjalkowski V., Trepalin A., Труды Математического института им. В.А. Стеклова РАН 2025 Т. 329 С. 132–164
We introduce and study the notion of G-coregularity of algebraic varieties endowed with an action of a finite group G. We compute the G-coregularity of smooth del Pezzo surfaces of degree at least 6, and give a characterization of groups that can act on conic bundles with G-coregularity 0. We describe the relations between the notions of G-coregularity, G-log ...
Added: September 4, 2025
Emerging Adults’ Autonomy in Romantic Narrative Identities: Choices Between Emotions and Rationality
Victoria G. Yerofeyeva, Ekaterina M. Tsyganova, Bochaver A. A., Trends in Psychology 2025
This study examines how emerging adults define autonomy through their roman
tic relationship choices. Emerging adulthood provides a lot of opportunities to try
different things, but the diversity of alternatives makes it difficult to choose. Under
these conditions, autonomy becomes a necessary personal characteristic. We set
out to examine how young people construct romantic narratives identities based
on the characteristics ...
Added: July 25, 2025
Azhimov F., Pruzhinin B. I., Zhukova O. et al., М.: РОССПЭН, 2024.
Коллективная монография, посвященная 80-летию известного российского философа-эпистемолога Б. И. Пружинина, представляет основные тематические векторы его творчества – наука, рациональность, эпистемологический стиль русской философии, многообразие культур – на пересечении мнений, высказанных российскими и зарубежными философами (коллегами и друзьями юбиляра) на круглых столах. Стержневой темой публикуемых дискуссий стала концепция культурно-исторической эпистемологии: участники обсуждали ее философско-методологический потенциал в ...
Added: January 14, 2025
Poddiakov A., Human Arenas. An Interdisciplinary Journal of Psychology, Culture, and Meaning 2026 Vol. 9 No. 2 P. 1262–1291
The status of the axioms of transitivity of dominance (“if x dominates y and y dominates z, then x dominates z” and “if a person prefers A to B and B to C, then that person should prefer A to C”) as key components of rationality is discussed. The discussion is conducted in the context ...
Added: September 18, 2024
Kanaeva N., Вопросы философии 2024 № 7 С. 139–149
The paper presented to the reader’s attention pursues two goals. The first is a substantiation of the productivity of the concept “epistemic culture” (hereinafter – EC) as a tool of historico-philosophical intercultural research by the example of its application to the interpretation of the meanings of Indian logico-epistemological texts. The second is a demonstration of ...
Added: July 6, 2024
Белов М. Д., Социология власти 2024 Т. 36 № 1 С. 29–43
This article is devoted to the consideration of rationality as one of the key characteristics of Michel Foucault’s concept of governmentality and related contradictions both inside and outside Foucauldian theory. Using risk theory, the author explores the possibility of the existence of multiple rationality in governmentality and offers a solution to the contradiction within Foucauldian ...
Added: June 16, 2024