Steenrod operations in chow theory

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How researchers see this paper

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The Algebraic and Geometric Theory of Quadratic Forms (2008, methodology): “An “elementary” construction of the reduced power operations modulo p on Chow groups (requiring equivariant Chow groups) was given by Brosnan in [20].”
On the Chow groups of quadratic Grassmannians (2005, background): “Using the fact that S commutes with the pull-back morphisms (see [3]), and the inductive assumption, we get: g n(S (zi)) = S (g n(zi)) = S (ρ + π n−1(zi)) =”
On the first Witt index of quadratic forms (2003, methodology): “They have the following basic properties (see [1] for the proofs): for any smooth quasi-projective F -scheme X, the total operation S : CH(X) → CH(X) is a (non-homogeneous) ring homomorphism such that for every morphism f : Y → X of smooth quasi-projective F -schemes and for every field extension E/”
On standard norm varieties (2012, methodology): “The way of indexing differs from that of [4].”
Steenrod operations and degree formulas (2003, background): “(1) For a projective morphism f : X → Y of varieties the diagram A(X) SR −−−→ A(X)”