?
Algebraic groups whose orbit closures contain only finitely many orbits
Transformation Groups. 2021. Vol. 26. No. 2. P. 671–689.
We explore connected ane algebraic groups G, which enjoy the following finiteness property (F): for every algebraic action of G, the closure of every G-orbit contains only nitely many G-orbits. We obtain two main results. First, we classify such groups. Namely, we prove that a connected affine algebraic group G enjoys property (F) if and only if G is either a torus or a product of a torus and a one-dimensional connected unipotent algebraic group. Secondly, we obtain a characterization of such groups in terms of the modality of action in the sense of V. Arnol'd. Namely, we prove that a connected affine algebraic group G enjoys property (F) if and only if for every irreducible algebraic
variety X endowed with an algebraic action of G, the modality of X is equal to the minimum of codimensions of G-orbits in X.
Prokofieva K., В кн.: Японский язык в вузе: актуальные проблемы преподавания. Сборник научных работ. Материалы Второго международного форума «Языки и культуры Восточной Азии в образовательном пространстве» (МГПУ, 23–26 апреля 2025). Выпуск 30Вып. 30: Сборник научных работ. Материалы Второго международного форума.: Языки народов мира, 2025. С. 325–333.
When teaching Japanese as a foreign language, it is customary to explain grammatical markers that convey the meanings of wish and invitation to joint action separately from each other. Meanwhile, comparing these markers for a more accurate understanding of the speaker's intentions, as well as the variability of the context of their use, can be ...
Added: April 26, 2026
Tiskin D., М.: Издательская группа URSS, 2026.
Предлагаемая книга представляет собой введение в формальную семантику — раздел языкознания, в котором посредством построения математически строгих моделей исследуется, как предложения приобретают значение и способность передавать информацию в зависимости от своей структуры и значений составляющих их слов. Классические теоретические идеи Г. Фреге, Д. Льюиса, Д. Каплана и др. излагаются современным языком, а при разработке нотации акцент сделан на том, ...
Added: March 17, 2026
Popov V., Труды Математического института им. В.А. Стеклова РАН 2025 Т. 329 С. 209–226
Let X be the variety of flexes of plane cubics. The following statements are proved in this paper: (1) X is an irreducible rational algebraic variety equipped with an effective algebraic action of the group PSL(3); (2) X is PSL(3)-equivariantly birationally isomorphic to a homogeneous fiber bundle over PSL(3)/K with fiber being a projective line, ...
Added: December 16, 2025
Letuchiy A., Russian Linguistics 2025 Т. 49 № 2 Статья 2
The article discusses types of interpretation that Russian complex sentences with factive,implicative and interpretation verbs get under negation and modal operators. By default,the external negative and modal context affects only the main situation. However, one findsexceptions of this rule. We call ‘transparent readings’ those readings in which the exter-nal context affects semantically both the matrix ...
Added: November 5, 2025
Prokofieva K., В кн.: Японский язык в вузе: актуальные проблемы преподавания. Сборник научных работ. Материалы Первого международного форума «Языки и культуры Восточной Азии в образовательном пространстве» (МГПУ, 13–16 марта 2024 г.). Выпуск 28Вып. 28: Сборник научных работ. Материалы Первого международного форума.: Языки народов мира, 2025. С. 291–300.
The category of modality in Japanese language is still widely discussed. What is the essence of modality for native Japanese speakers? How can it be expressed in a Japanese sentence? These two questions are among current ones till nowadays. Despite the extensive theoretical base and the existing traditional description of modality in Japanese linguistics, significant ...
Added: July 4, 2025
Arzhantsev I., Sbornik Mathematics 2001 Vol. 192 No. 8 P. 1133–1138
Let G be a reductive algebraic group and let H be a reductive subgroup of G. The modality of a G-variety X is the largest number of the parameters in a continuous family of G-orbits in X. A precise formula for the maximum value of the modality over all affine embeddings of the homogeneous space ...
Added: June 13, 2025
Rudnev D., Borisova T. Y., Вестник Новосибирского государственного университета. Серия: История, филология 2022 Т. 22 № 2 С. 9 – 20
The aim of the article is to describe the system of means of expressing permission in the language of docu- ments of the 18th century. On the basis of linguistic material extracted from collections of published documents, pat- terns of expression of permission and their dynamics during the 18th century are revealed. In the time ...
Added: May 7, 2025
Сизикова Т. Э., Леонов С. В., Polikanova I., Сибирский психологический журнал 2025 № 95 С. 78–95
Addressing the psychophysiological correlates of reflection in the context of modern psychology based on the integrity paradigm is an urgent and promising area. We rely on the ideas of L.S. Vygotsky and the critical ontology of N. Hartmann, which allow us to analyze reflection using modal analysis and take into account the relationship between mental ...
Added: March 8, 2025
Popov V., Успехи математических наук 2024 Т. 79 № 6 С. 169–170
Let X be the variety of flexes of plane cubics. The following properties of the algebraic variety X are proven: (1) X is irreducible and endowed with a faithful algebraic action of the group G=PSL(3). (2) X is rational. (3) There is a subgroup K of G isomorphic to the binary tetrahedral group such that ...
Added: December 2, 2024
Arzhantsev I., Quaestiones Mathematicae 2024 Vol. 47 No. 9 P. 1767 –1774
An additive action on an irreducible algebraic variety X is an effective action with an open orbit of the vector group . Any two additive actions on X are conjugate by a birational automorphism of X. We prove that, if X is the projective space, the conjugating element can be chosen in the affine Cremona group and it is given by so-called basic polynomials ...
Added: September 14, 2024
van der Auwera J., Plungian V., Linguistic Typology 1998 Vol. 2 No. 1 P. 79–124
Added: November 12, 2023
Vladimir Plungian, Åkerman Sarkisian K., Scando-Slavica 2023 Т. 69 № 1 С. 3–24
The so-called acquisitive modality or actuality, describing a successful realization of an action, is a largely understudied type of modal values. It is of significant interest both from the viewpoint of its grammaticalization paths and of a wide and rich variety of its lexical expression. The article discusses one of the main representatives of this ...
Added: November 8, 2023
Kasenov D., Paramonova D., Krainova A., , in: Девятнадцатая конференция по типологии и грамматике для молодых исследователей: тезисы докладов.: СПб.: ИЛИ РАН, 2022. P. 185–187.
Added: October 24, 2023
М.: Институт славяноведения РАН, 2023.
Определенность / неопределенность — одна из важнейших для балканского языкового союза и модели мира семантических категорий. Эксплицитно или имплицитно она проявляется на разных уровнях языка и во всех текстах, включая фольклор, обрядность, литературу и изобразительное искусство. В сборнике представлены материалы по темам: определенность / неопределенность в синхронии и диахронии языков и диалектов балканского языкового союза; ...
Added: April 3, 2023
Trnavac R., Leiden Papers in Linguistics 2006 Vol. 3 No. 1 P. 51–73
In the aspectual linguistic literature, a connection between imperfective aspect and modality/subjectivity is quite often mentioned. This article investigates a possible counterargument to this connection by analyzing modal readings of tenses in Russian. Two types of uses of tenses are described: (1) temporal reading of the tense with a modal inference and (2) strictly modal ...
Added: January 27, 2023
Trnavac R., , in: Когнитивнолингвистичка проучавања српског језика.: Beograd: САНУ, 2006. P. 353–373.
Analysis of subjectivity and aspect in Serbian modal constructions ...
Added: January 27, 2023
Trnavac R., Review of Slavic Studies 2019 No. 96 P. 211–242
This paper examines how conditional and concessive nonveridical rhetorical relations influence evaluation in the Serbian and Russian newspaper discourse. It also investigates the role of nonveridical elements (Giannakidou 1998) on evaluation in discourse and relates the notion of nonveridicality to similar notions, such as modality, Appraisal (Martin and White 2005), and subjectivity. We adopted the ...
Added: January 1, 2023
Trnavac R., Taboada M., Text & Talk 2023 Vol. 43 No. 2 P. 235–262
Abstract: We investigate the relationship between Engagement and constructiveness in online news comments by analyzing the frequency and type of Engagement expressions in a corpus of English and Russian comments, following the Appraisal framework. The comments in question, 10,000 words in each language, are posted in response to opinion articles in the Canadian newspaper The ...
Added: December 7, 2022
Borovik V., Gayfullin S., Trushin A., Communications in Algebra 2022 Vol. 50 No. 12 P. 5468–5476
By a commutative action on a smooth quadric Q_n in P^{n+1}, we mean an effective action of a commutative connected algebraic group on Qn with an open orbit. We show that for n≥3 all commutative actions on Qn are additive actions described by Sharoiko in 2009. So there is a unique commutative action on Qn ...
Added: October 13, 2022
Terekhovich V., В кн.: Восьмой Российский Философский Конгресс - «Философия в полицентричном мире». Секции (I). Сборник научных статейТ. 1.: М.: Новые печатные технологии, 2020. С. 746–749.
В рамках проблемы существования ненаблюдаемых сущностей физических теорий в статье обобщаются основные положения концепции Онтического структурного реализма и возражения, выдвигаемые против нее. Кратко анализируются достоинства и недостатки некоторых ослабленных версий Онтического структурного реализма. В качестве компромисса предлагается еще одна версия – иерархический структурный реализм. Вместо онтологического противопоставления структур и сущностей, предлагается рассмотреть многоуровневую иерархическую модель, ...
Added: October 28, 2021
Buchstaber V.M., Terzic S., Moscow Mathematical Journal 2016 Vol. 16 No. 2 P. 237–273
We consider the canonical action of the compact torus T4 on the complex Grassmann manifold G4,2 and prove that the orbit space G4,2/T4 is homeomorphic to the sphere S5. We prove that the induced map from G4;2 to the sphere S5 is not smooth and describe its smooth and singular points. We also consider the action of T4 on ...
Added: June 17, 2021
Arzhantsev I., Zaidenberg M., International Mathematics Research Notices 2022 Vol. 2022 No. 11 P. 8162–8195
Given a toric affine algebraic variety X and a collection of one-parameter unipotent subgroups U_1,…,U_s of Aut(X), which are normalized by the torus acting on X, we show that the group G generated by U_1,…,U_s verifies the following alternative of Tits type: either G is a unipotent algebraic group or it contains a non-abelian free subgroup. We deduce that if G is 2-transitive on a G-orbit in X, then G contains a non-abelian ...
Added: January 31, 2021
Letuchiy A., Компьютерная лингвистика и интеллектуальные технологии 2020 Vol. дополнительный том No. 19 (26) P. 1065–1077
The paper adresses parallels between tense, aspect and modality marking in Russian embedded clauses. It is widely known that tense forms of embedded verbs can be interpreted relatively or absolutely, and in some cases, the relative and absolute use seem to be in free variation. It turns out that the interpretation of modality and aspect ...
Added: October 3, 2020