Hasse Principle for Rost Motives

Mikhail Borovoi; Nikita Semenov; Maksim Zhykhovich

doi:10.1093/imrn/rny300

Hasse Principle for Rost Motives

Mikhail Borovoi, Nikita Semenov^*, Maksim Zhykhovich

^*Corresponding author for this work

School of Mathematical Sciences

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

Abstract

We prove a Hasse principle for binary direct summands of the Chow motive of a smooth projective quadric Q over a number field F. Besides, we show that such summands are twists of Rost motives. In the case when F has at most one real embedding we describe a complete motivic decomposition of Q.

Original language	English
Pages (from-to)	4231-4254
Number of pages	24
Journal	International Mathematics Research Notices
Volume	2021
Issue number	6
DOIs	https://doi.org/10.1093/imrn/rny300
State	Published - 1 Mar 2021

Access to Document

10.1093/imrn/rny300

Cite this

@article{f345da03927d48ffa785ffcf338f90b5,

title = "Hasse Principle for Rost Motives",

abstract = "We prove a Hasse principle for binary direct summands of the Chow motive of a smooth projective quadric Q over a number field F. Besides, we show that such summands are twists of Rost motives. In the case when F has at most one real embedding we describe a complete motivic decomposition of Q. ",

author = "Mikhail Borovoi and Nikita Semenov and Maksim Zhykhovich",

year = "2021",

month = mar,

day = "1",

doi = "10.1093/imrn/rny300",

language = "אנגלית",

volume = "2021",

pages = "4231--4254",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

number = "6",

}

TY - JOUR

T1 - Hasse Principle for Rost Motives

AU - Borovoi, Mikhail

AU - Semenov, Nikita

AU - Zhykhovich, Maksim

PY - 2021/3/1

Y1 - 2021/3/1

N2 - We prove a Hasse principle for binary direct summands of the Chow motive of a smooth projective quadric Q over a number field F. Besides, we show that such summands are twists of Rost motives. In the case when F has at most one real embedding we describe a complete motivic decomposition of Q.

AB - We prove a Hasse principle for binary direct summands of the Chow motive of a smooth projective quadric Q over a number field F. Besides, we show that such summands are twists of Rost motives. In the case when F has at most one real embedding we describe a complete motivic decomposition of Q.

UR - http://www.scopus.com/inward/record.url?scp=85122179508&partnerID=8YFLogxK

U2 - 10.1093/imrn/rny300

DO - 10.1093/imrn/rny300

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85122179508

SN - 1073-7928

VL - 2021

SP - 4231

EP - 4254

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 6

ER -

Hasse Principle for Rost Motives

Abstract

Access to Document

Other files and links

Fingerprint

Cite this