Schubert cycles and subvarieties of generalized Severi-Brauer varieties

2017/04/27 by Caroline Junkins, Junkins, Caroline, Daniel Krashen +3
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1704.08687

openalex publication_date 2017/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study twisted forms of Schubert cells in generalized Severi-Brauer varieties, and show that the codimension 2 Chow groups of these varieties are torsion free in certain cases, using the topological filtration on their K-theory

Citations

• Flags, Schubert polynomials, degeneracy loci, and determinantal formulas

Related

• On the torsion of Chow groups of Severi-Brauer varieties
• Torsion in Chow groups of zero cycles of homogeneous projective varieties
• Large Schubert varieties
• The Picard Group of Brauer-Severi Varieties
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