Geodesic
A variant of the Levine–Morel moving Lemma
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 28, Tome 435 (2015), pp. 163-167 
I. A. Panin; K. I. Pimenov. A variant of the Levine–Morel moving Lemma. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 28, Tome 435 (2015), pp. 163-167. http://geodesic.mathdoc.fr/item/ZNSL_2015_435_a7/
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     title = {A variant of the {Levine{\textendash}Morel} moving {Lemma}},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We consider a version of the lemma proved by Levine–Morel in their book “Algebraic cobordisms”. Being reformulated in the Chow group context the lemma turns out to be valid in any characteristic and its proof is substantially shortened.

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[2] M. Levine, F. More, Algebraic Cobordism, Springer Monographs in Mathematics, Springer-Verlag, 2007, xii+244 pp. | MR | Zbl

[3] I. Panin, “Rationally isotropic quadratic spaces are locally isotropic”, Invent. math., 176 (2009), 397–403 | DOI | MR | Zbl

[4] I. Panin, K. Pimenov, “Rationally Isotropic Quadratic Spaces Are Locally Isotropic: II”, Documenta Math., 2010, Extra Volume: Andrei A. Suslin's Sixtieth Birthday, 515–523 | MR | Zbl