Rost motives, affine varieties, and classifying spaces:

Victor Petrov, Nikita Semenov

Результат исследований: Научные публикации в периодических изданияхстатья

3 Цитирования (Scopus)

Выдержка

In this article we investigate ordinary and equivariant Rost motives. We provide an equivariant motivic decomposition of the variety of full flags of a split semisimple algebraic group G over a field, a motivic decomposition of E/B for a G-torsor E over a smooth base scheme, study torsion subgroup of the Chow group of E/B, define some equivariant Rost motives over a field and some ordinary Rost motives over a general base scheme, and relate equivariant Rost motives with classifying spaces of some algebraic groups.

Язык оригиналаанглийский
Страницы (с-по)895-918
Число страниц24
ЖурналJournal of the London Mathematical Society
Том95
Номер выпуска3
DOI
СостояниеОпубликовано - 2017

Отпечаток

Classifying Space
Equivariant
Algebraic Groups
Torsor
Chow Groups
Decompose
Semisimple Groups
Torsion
Subgroup

Предметные области Scopus

  • Математика (все)

Цитировать

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Rost motives, affine varieties, and classifying spaces: / Petrov, Victor; Semenov, Nikita.

В: Journal of the London Mathematical Society, Том 95, № 3, 2017, стр. 895-918.

Результат исследований: Научные публикации в периодических изданияхстатья

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