Geometric methods for cohomological invariants

2006/12/12 by Pierre Guillot, Guillot, Pierre · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.math/0612323

openalex publication_date 2006/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explain how to exploit Rost's theory of Chow groups with coefficients to carry some computations of cohomological invariants (i.e. characteristic classes for G-torsors in Galois cohomology, for an algebraic group G). In particular, we use the idea of the ``stratification method'' introduced by Vezzosi. We recover a number of known results, with very different proofs. We obtain some new information on spin groups..

Cited by

• Cohomological invariants of \mathscrM_3,n via level structures

Related

• Cohomological invariants in positive characteristic
• Cohomological invariants of algebraic groups and the Morava K-theory
• Torsors under finite and flat group schemes of rank p with Galois action
• Chow groups with twisted coefficients
• Torsors for Difference Algebraic Groups