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Chow motives of twisted flag varieties
- Publication Year :
- 2005
- Publisher :
- arXiv, 2005.
-
Abstract
- Let G be an adjoint simple algebraic group of inner type. We express the Chow motive (with integral coefficients) of some anisotropic projective G-homogeneous varieties in terms of motives of simpler G-homogeneous varieties, namely, those that correspond to maximal parabolic subgroups of G. We decompose the motive of a generalized Severi-Brauer variety SB_2(A), where A is a division algebra of degree 5, into a direct sum of two indecomposable motives. As an application we provide another counter-example to the uniqueness of a direct sum decomposition in the category of motives with integral coefficients.<br />Comment: 28 pages
- Subjects :
- Algebra and Number Theory
19E15
57T15
Chow ring
Algebra
Algebraic cycle
Mathematics - Algebraic Geometry
Mathematics::Category Theory
Direct sum decomposition
FOS: Mathematics
Generalized flag variety
Uniqueness
Adequate equivalence relation
Algebraic Geometry (math.AG)
Projective variety
Flag (geometry)
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....8299a5bc1523e230a99b207c35ee0736
- Full Text :
- https://doi.org/10.48550/arxiv.math/0505242