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Morava K-theory and Rost Invariant. / Петров, Виктор Александрович; Лавренов, Андрей Валентинович.

In: International Mathematics Research Notices, Vol. 2025, No. 8, rnaf101, 22.04.2025.

Research output: Contribution to journal › Article › peer-review

Harvard

Петров, ВА & Лавренов, АВ 2025, 'Morava K-theory and Rost Invariant', International Mathematics Research Notices, vol. 2025, no. 8, rnaf101. https://doi.org/10.1093/imrn/rnaf101

APA

Петров, В. А., & Лавренов, А. В. (2025). Morava K-theory and Rost Invariant. International Mathematics Research Notices, 2025(8), [rnaf101]. https://doi.org/10.1093/imrn/rnaf101

Vancouver

Петров ВА, Лавренов АВ. Morava K-theory and Rost Invariant. International Mathematics Research Notices. 2025 Apr 22;2025(8). rnaf101. https://doi.org/10.1093/imrn/rnaf101

Author

Петров, Виктор Александрович ; Лавренов, Андрей Валентинович. / Morava K-theory and Rost Invariant. In: International Mathematics Research Notices. 2025 ; Vol. 2025, No. 8.

BibTeX

@article{547274aecfe6412089ed21c5a169f6e4,
title = "Morava K-theory and Rost Invariant",
abstract = "We prove that inner forms of a variety of Borel subgroups have isomorphic motives with respect to the second Morava K-theory if and only if the corresponding Tits algebras and Rost invariants coincide. This extends Panin's results on interrelationship of K-theory with Tits algebras to the case of cohomological invariants of degree.",
author = "Петров, {Виктор Александрович} and Лавренов, {Андрей Валентинович}",
year = "2025",
month = apr,
day = "22",
doi = "10.1093/imrn/rnaf101",
language = "English",
volume = "2025",
journal = "International Mathematics Research Notices",
issn = "1073-7928",
publisher = "Oxford University Press",
number = "8",

}

RIS

TY - JOUR

T1 - Morava K-theory and Rost Invariant

AU - Петров, Виктор Александрович

AU - Лавренов, Андрей Валентинович

PY - 2025/4/22

Y1 - 2025/4/22

N2 - We prove that inner forms of a variety of Borel subgroups have isomorphic motives with respect to the second Morava K-theory if and only if the corresponding Tits algebras and Rost invariants coincide. This extends Panin's results on interrelationship of K-theory with Tits algebras to the case of cohomological invariants of degree.

AB - We prove that inner forms of a variety of Borel subgroups have isomorphic motives with respect to the second Morava K-theory if and only if the corresponding Tits algebras and Rost invariants coincide. This extends Panin's results on interrelationship of K-theory with Tits algebras to the case of cohomological invariants of degree.

UR - https://www.mendeley.com/catalogue/7eb9fc28-2514-3fb6-9d22-4ac3192bb306/

U2 - 10.1093/imrn/rnaf101

DO - 10.1093/imrn/rnaf101

M3 - Article

VL - 2025

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

SN - 1073-7928

IS - 8

M1 - rnaf101

ER -

ID: 134717316