An exact sequence for K∗M∕2 with applications to quadratic forms

2001/01/03 by Dmitry Orlov, Dmitri Olegovich Orlov, Alexander Vishik +1 · 201 citations
Computer Science · Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Coding theory and cryptography #Combinatorics #Conjecture #Discrete mathematics #Exact sequence #Geometry #Kernel (algebra) #Mathematics #Pure mathematics #Quadratic equation #Ring (chemistry) #Sequence (biology) #Zero (linguistics) #math.AG #math.KT #msc:11Exx #msc:12Gxx

paper · pdf · doi:10.4007/annals.2007.165.1

published in Annals of Mathematics 165(1), 1-13 (Princeton University)

arxiv created 2001/01/03 · openalex publication_date 2007/01/01 · openalex created_date 2016/06/24 · arxiv updated 2018/08/17 · openalex updated_date 2026/08/05

Abstract

Introduction 2. An exact sequence for K M * /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

Citations

• AlgebraicK-theory and quadratic forms
• Reduced power operations in motivic cohomology

Cited by

• On The Morel Structure Conjecture