Zero cycles on homogeneous varieties

DOI10.1016/j.aim.2009.10.016zbMath1192.14034arXivmath/0501399OpenAlexW2034193220MaRDI QIDQ962141

Daniel Krashen

Publication date: 6 April 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501399

zbMATH Keywords

homogeneous spacesHilbert schemessimple algebrasrational equivalencethe Chow group

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Finite-dimensional division rings (16K20)

Related Items

Symmetric powers of Severi–Brauer varieties ⋮ The group of \(K_{1}\)-zero-cycles on the second generalized Severi-Brauer variety of an algebra of index 4 ⋮ Essential dimension of involutions and subalgebras ⋮ On the Chow groups of a biquaternion Severi-Brauer variety ⋮ Zero-cycles with coefficients for the second generalized symplectic involution variety of an algebra of degree 4 ⋮ Birational maps between generalized Severi-Brauer varieties ⋮ Corestrictions of algebras and splitting fields

Cites Work

• A variety associated to an algebra with involution
• Zero cycles on some involutive varieties
• Rationally connected varieties over finite fields
• Motivic decomposition of isotropic projective homogeneous varieties
• A finiteness theorem for the Chow group of zero-cycles of a linear algebraic group on a \(p\)-adic field
• Rationally connected varieties over local fields
• On motivic decompositions arising from the method of Białynicki-Birula
• Separable algebras over commutative rings
• Function fields of generalized brauer-severi varieties
• Rational Equivalence of Arbitrary Cycles
• $J$-invariant of linear algebraic groups
• Zero Cycles on a Twisted Cayley Plane
• Finite-Dimensional Division Algebras over Fields
• Zero Cycles on Quadric Hypersurfaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item