Standard

Smooth Affine Model for the Framed Correspondences Spectrum. / Druzhinin, A.

In: Journal of Mathematical Sciences (United States), Vol. 252, No. 6, 02.2021, p. 784-793.

Research output: Contribution to journalArticlepeer-review

Harvard

Druzhinin, A 2021, 'Smooth Affine Model for the Framed Correspondences Spectrum', Journal of Mathematical Sciences (United States), vol. 252, no. 6, pp. 784-793. https://doi.org/10.1007/s10958-021-05199-4

APA

Druzhinin, A. (2021). Smooth Affine Model for the Framed Correspondences Spectrum. Journal of Mathematical Sciences (United States), 252(6), 784-793. https://doi.org/10.1007/s10958-021-05199-4

Vancouver

Druzhinin A. Smooth Affine Model for the Framed Correspondences Spectrum. Journal of Mathematical Sciences (United States). 2021 Feb;252(6):784-793. https://doi.org/10.1007/s10958-021-05199-4

Author

Druzhinin, A. / Smooth Affine Model for the Framed Correspondences Spectrum. In: Journal of Mathematical Sciences (United States). 2021 ; Vol. 252, No. 6. pp. 784-793.

BibTeX

@article{24bb1a630b934415b44b14e6ed2c8d97,
title = "Smooth Affine Model for the Framed Correspondences Spectrum",
abstract = "Morel–Voevodsky{\textquoteright}s unstable pointed motivic homotopy category H●(k) over an infinite perfect field is considered. For a smooth affine scheme Y over k, a smooth ind-scheme Fl(Y) and an open subscheme El(Y) are constructed for all l > 0, so that the motivic space Fl(Y)/El(Y) is equivalent in H●(k) to the motivic space Ωℙ1∞∑ℙ1∞(Y×Tl),T=(A1/A1−0),l>0. The construction is not functorial on the category of affine schemes but is functorial on the category of so-called framed schemes constructed for this purpose.",
author = "A. Druzhinin",
note = "Publisher Copyright: {\textcopyright} 2021, Springer Science+Business Media, LLC, part of Springer Nature.",
year = "2021",
month = feb,
doi = "10.1007/s10958-021-05199-4",
language = "English",
volume = "252",
pages = "784--793",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - Smooth Affine Model for the Framed Correspondences Spectrum

AU - Druzhinin, A.

N1 - Publisher Copyright: © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

PY - 2021/2

Y1 - 2021/2

N2 - Morel–Voevodsky’s unstable pointed motivic homotopy category H●(k) over an infinite perfect field is considered. For a smooth affine scheme Y over k, a smooth ind-scheme Fl(Y) and an open subscheme El(Y) are constructed for all l > 0, so that the motivic space Fl(Y)/El(Y) is equivalent in H●(k) to the motivic space Ωℙ1∞∑ℙ1∞(Y×Tl),T=(A1/A1−0),l>0. The construction is not functorial on the category of affine schemes but is functorial on the category of so-called framed schemes constructed for this purpose.

AB - Morel–Voevodsky’s unstable pointed motivic homotopy category H●(k) over an infinite perfect field is considered. For a smooth affine scheme Y over k, a smooth ind-scheme Fl(Y) and an open subscheme El(Y) are constructed for all l > 0, so that the motivic space Fl(Y)/El(Y) is equivalent in H●(k) to the motivic space Ωℙ1∞∑ℙ1∞(Y×Tl),T=(A1/A1−0),l>0. The construction is not functorial on the category of affine schemes but is functorial on the category of so-called framed schemes constructed for this purpose.

UR - http://www.scopus.com/inward/record.url?scp=85099472361&partnerID=8YFLogxK

U2 - 10.1007/s10958-021-05199-4

DO - 10.1007/s10958-021-05199-4

M3 - Article

AN - SCOPUS:85099472361

VL - 252

SP - 784

EP - 793

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 98952265