Flag varieties, toric varieties, and suspensions: three instances of infinite transitivity

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Flag varieties, toric varieties, and suspensions: three instances of infinite transitivity

Sbornik Mathematics. 2012. Vol. 203. No. 7. P. 923–949.

Arzhantsev I., Zaidenberg M., Kuyumzhiyan K.

We say that a group G acts infinitely transitively on a set X if for every m ∈ N the induced diagonal action of G is transitive on the cartesian m-th power X^m\Δ with the diagonals removed. We describe three classes of affine algebraic varieties such that their automorphism groups act infinitely transitively on their smooth loci. The first class consists of normal affine cones over flag varieties, the second of nondegenerate affine toric varieties, and the third of iterated suspensions over affine varieties with infinitely transitive automorphism groups.

Research target: Mathematics

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Брычков М. Е., Незнанов А.А., Программирование 2026 № 4 С. 50–66

The matrix profile (MP) quickly became one of the most important time series preprocessing methods when it was introduced in 2016, facilitating the solution of a wide range of time series analysis problems, in particular anomaly and pattern detection problems. The high significance has led to the emergence of various tools for MP calculating, but ...

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ООО "Издательство Юрайт ", 2026.

The Collection of Olympiad Problems (COP) in Probability Theory and Mathematical Statistics (PTMS) is offered as a teaching aid primarily for university students and faculty as a developmental supplementary resource, expanding the range of problems to be solved in lectures, seminars, and out-of-class independent work with students in various formats, including (as the title suggests) ...

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The development and effective management of territorial entities are priority issues for all states, particularly in the context of the digital transformation of public administration. Over the past decade, the integration of information technologies into municipal and regional planning has significantly altered approaches to strategic development, service delivery, and public engagement. This paper describes the ...

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Added: October 8, 2026

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Added: October 8, 2026

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Комышкова А. Д., В кн.: IX Международный симпозиум «Русская грамматика: полипарадигмальность как методологический принцип современных научных исследований».: [б.и.], 2025.

The subject of this study is adjectives ending in -(а)нутый expressing the meaning of ‘strange, not quite normal'. In non-normalized Internet communication, along with well-known verbal adjectives such as тронутый, шибанутый, чокнутый (crazy), related to rude colloquial speech, jargon and argot, there is a large number of lexemes, derivate from nouns and adjectives with a common semantic component ‘strange’: шизанутый, бзикнутый, толкиенутый, йогнутый, веганутый and many ...

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О конечномерных однородных алгебрах Ли дифференцирований кольца многочленов

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Лапшина К. М., Вопросы языкознания 2025 № 1 С. 95–118

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