Steenrod operations and degree formulas

50 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Upper motives of algebraic groups and incompressibility of Severi–Brauer varieties (2009, methodology): “A recent proof, given in [18], makes use of Steenrod operations on the modulo p Chow groups (it better explains the reason of the p-incompressibility but works only over fields of characteristic 6= p).”
On the Chow groups of quadratic Grassmannians (2005, background): “We recall from [10] that a variety X is p-compressible if there is a rational map X 99K Y to some variety Y such that dim(Y ) < dim(X) and vp(nX) 6 vp(nY ), where nZ is the image of the degree map deg : CH0(Z) → Z.”
Algebraic Cobordism (2003, background): “Given a smooth projective irreducible k-scheme X of dimension d > 0, Rost introduces (see [21]) the ideal M(X) ⊂ L∗ = Ω∗(Spec k) generated by classes [Y ] ∈ L∗ of smooth projective k-schemes Y of dimension < d for which there exists a morphism Y → X over k.”