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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.
Original language | English |
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Pages (from-to) | 784-793 |
Number of pages | 10 |
Journal | Journal of Mathematical Sciences (United States) |
Volume | 252 |
Issue number | 6 |
DOIs | |
State | Published - Feb 2021 |
ID: 98952265