Function fields of generalized brauer-severi varieties

DOI10.1080/00927879108824131zbMath0717.16014OpenAlexW2034897330MaRDI QIDQ3204620

Altha Blanchet

Publication date: 1991

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879108824131

zbMATH Keywords

function fieldsindexBrauer groupcentral simple algebraright idealsprojective varietyGrassmann varietygeneralized Brauer-Severi varietygeneric partial splitting fields

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Rational and unirational varieties (14M20) Finite-dimensional division rings (16K20) Brauer groups of schemes (14F22) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items

Unitary Grassmannians of division algebras, Generic splitting of reductive groups, Galois cohomology of special orthogonal groups, The group \(SK_1\) for simple algebras., The group of \(K_{1}\)-zero-cycles on the second generalized Severi-Brauer variety of an algebra of index 4, Reduction of structure to parabolic subgroups, Function fields of generalized brauer-severi varieties, Excellent algebraic groups. I, Rational maps between varieties associated to central simple algebras, Ulrich bundles on some twisted flags, On nonexistence of full exceptional collections on some relative flags, The group \(SK_{2}\) of a biquaternion algebra, Prescribed behavior of central simple algebras after scalar extension., On the Chow groups of a biquaternion Severi-Brauer variety, Comparing invariants of \(\mathbf{SK}_1\), Zero-cycles with coefficients for the second generalized symplectic involution variety of an algebra of degree 4, Addition of Brauer classes via Picard schemes, Birational maps between generalized Severi-Brauer varieties, Zero cycles on homogeneous varieties, L'invariant de Suslin en caractéristique positive, Corestrictions of algebras and splitting fields, The index reduction formula for generic partial splitting varieties, On the algebraic \(K\)-theory of twisted flag varieties, Three theorems on common splitting fields of central simple algebras, Index reduction formulas for twisted flag varieties. I, The Schur index and Moody's theorem, Unramified cohomology of classifying varieties for classical simply connected groups1

Cites Work

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• Generic splitting fields of central simple algebras
• K-theory of twisted Grassmannians
• Some applications of Jordan norms to involutorial simple associative algebras
• Schur functors and Schur complexes
• Rational functions invariant under a finite Abelian group
• On the geometry of algebraic homogeneous spaces
• Function fields of generalized brauer-severi varieties
• Higher algebraic K-theory: I