Severi varieties and their varieties of reductions
نویسندگان
چکیده
منابع مشابه
Triangulations and Severi Varieties
We consider the problem of constructing triangulations of projective planes over Hurwitz algebras with minimal numbers of vertices. We observe that the numbers of faces of each dimension must be equal to the dimensions of certain representations of the automorphism groups of the corresponding Severi varieties. We construct a complex involving these representations, which should be considered as...
متن کاملCycles 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 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 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 ...
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2005
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crll.2005.2005.585.93