Đề tài " An exact sequence for KM /2 with applications to quadratic forms "

An exact sequence for KM /2 ∗ with applications to quadratic forms By D. Orlov,∗ A. Vishik,∗∗ and V. Voevodsky∗∗* Contents 1. Introduction 2. An exact sequence for KM /2 ∗ 3. Reduction to points of degree 2 4. Some applications 4.1. Milnor’s Conjecture on quadratic forms 4.2. The Kahn-Rost-Sujatha Conjecture 4.3. The J-filtration conjecture 1. Introduction Let k be a field of characteristics zero. For a sequence a = (a1 , . . . , an ) of invertible elements of k consider the homomorphism M M K∗ (k)/2 → K∗+n (k)/2 in Milnor’s K-theory modulo elements divisible by 2 defined by...