Let F be a field of characteristic 2. Let ΩFn be the F-space of absolute differential forms over F. There is a homomorphism ℘: ΩFn → ΩFn/dΩFn-1 given by ℘ (x dx1/x1 ∧ ⋯ ∧ dxn/xn) = (x2-x)dx1/x1 ∧ ⋯ ∧ dxn/xn mod dΩFn-1. Let ...

Let F be a field of any characteristic. For n ≥ 0, let J(n) = {q̄ ∈ Wq(F)| deg(q) ≥ n}. The degree conjecture asserts that for each n ≥ 0 (DC) J(n) = InWq(F) Let p be any n-fold quadratic Pfister form over F and F(p) the ...