Algebraic cobordism and flag varieties

2015/10/27 by Nobuaki Yagita, Yagita, Nobuaki
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1510.08135

openalex publication_date 2015/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be an algebraic variety over k such that X=X⊗_k k is cellular. We study torsion elements in the Chow ring CH^*(X) which corresponds to v_iy in the algebraic cobordism Ω^*( X) where 0\not=y∈ CH^*( X)/p and v_i is the generator of BP^* with |v_i|=-2(pⁱ-1). In particular, we try to compute CH^*(X) from Ω^*( X) when X are twisted complete flag varieties.

Related

• Torsion algebraic cycles and complex cobordism
• Computing Chow rings of twisted flag varieties for subgroups of an algebraic group
• Algebraic cobordism of varieties with G-bundles
• The Chow ring of a classifying space
• Torsion classes in the equivariant Chow groups of algebraic tori