منابع مشابه
Cycles on Severi - Brauer Varieties
For a given sequence of integers (n i) 1 i=1 we consider all the central simple algebras A (over all elds) satisfying the condition ind A i = n i and nd among them an algebra having the biggest torsion in the second Chow group CH 2 of the corresponding Severi-Brauer variety (\biggest" means that it can be mapped epimorphically onto each other). We describe this biggest torsion in a way in gener...
متن کاملCodimension 2 Cycles on Severi-brauer Varieties
For a given sequence of integers (ni) ∞ i=1 we consider all the central simple algebras A (over all fields) satisfying the condition ind A = ni and find among them an algebra having the biggest torsion in the second Chow group CH of the corresponding Severi-Brauer variety (“biggest” means that it can be mapped epimorphically onto each other). We describe this biggest torsion in a way in general...
متن کاملGrothendieck Chow-motives of Severi-Brauer varieties
For any central simple algebra, the Grothendieck Chow-motive of the corresponding Severi-Brauer variety is decomposed in a direct sum where each summand is a twisted motive of the Severi-Brauer variety corresponding to the underlying division algebra. It leads to decompositions in other theories (for instance, of K-cohomologies) because of the universal property of the Chow-motives. In the seco...
متن کاملIncompressibility of Generalized Severi-brauer Varieties
Let F be an arbitrary field. Let A be a central simple F -algebra. Let G be the algebraic group AutA of automorphisms of A. Let XA be the class of finite direct products of projective G-homogeneous F -varieties (the class XA includes the generalized Severi-Brauer varieties of the algebra A). Let p be a positive prime integer. For any variety in XA, we determine its canonical dimension at p. In ...
متن کاملGalois Descent and Severi-brauer Varieties
We say an algebraic object or property over a field k is arithmetic if it becomes trivial or vanishes after finite separable base extension. Since such objects or properties owe their existence to the presence of “arithmetic gaps” in k, i.e., the failure of k to be algebraically closed, we view them as responses to specific arithmetic properties of k, and we study them in order to gain insight ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2020
ISSN: 1088-6826,0002-9939
DOI: 10.1090/proc/14723