[图书][B] A1-algebraic topology over a field

F Morel - 2012 - books.google.com
This text deals with A1-homotopy theory over a base field, ie, with the natural homotopy
theory associated to the category of smooth varieties over a field in which the affine line is …

The Rost–Schmid Complex of a Strongly-Invariant Sheaf

F Morel - A1-Algebraic Topology over a Field, 2012 - Springer
We still fix a strongly A^ 1-invariant sheaf of abelian groups M on S m _ k. The absolute
transfers. We aim now at unifying, at all the characteristics, including the characteristic 2, the …

Geometric Versus Canonical Transfers

F Morel, F Morel - A1-Algebraic Topology over a Field, 2012 - Springer
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-Homotopy Sheaves and-Homology Sheaves

F Morel - A1-Algebraic Topology over a Field, 2012 - Springer
$${\mathbb{A}}^{1}$$ -Homotopy Sheaves and $${\mathbb{A}}^{1}$$ -Homology Sheaves |
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Unramified Sheaves and Strongly-Invariant Sheaves

F Morel - A1-Algebraic Topology over a Field, 2012 - Springer
Unramified Sheaves and Strongly $${\mathbb{A}}^{1}$$ -Invariant Sheaves | SpringerLink
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-Homotopy and Algebraic Vector Bundles

F Morel - A1-Algebraic Topology over a Field, 2012 - Springer
Now we come to proving in A^ 1-homotopy theory the analogues for algebraic vector
bundles of the classical result of classification of topological vector bundles in terms of …

-Coverings, and

F Morel - A1-Algebraic Topology over a Field, 2012 - Springer
$${\mathbb{A}}^{1}$$ -Coverings, $${\pi }_{1}^{{\mathbb{A}}^{1} }({\mathbb{P}}^{n})$$ and $${\pi
}_{1}^{{\mathbb{A}}^{1} }(S{L}_{n})$$ | SpringerLink Skip to main content Advertisement …

The Affine BG Property for the Linear Groups and the Grassmanian

F Morel - A1-Algebraic Topology over a Field, 2012 - Springer
In this section, for a commutative ring A and an integer r 0 we will simply let r (A) denote H _
Zar^ 1 (Spec (A); GL _ r)= H _ Nis^ 1 (Spec (A); GL _ r). We extend this notation to r= by …

Unramified Milnor–Witt K-Theories

F Morel - A1-Algebraic Topology over a Field, 2012 - Springer
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