Smooth Affine Model for the Framed Correspondences Spectrum

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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 journal › Article › peer-review

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.

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