A twisted Grassmann variety (a form of Grassmann variety), which is the variety representing the functor of right ideals of prescribed rank in a central simple algebra over a field, is represented by a linear section of a Grassmann variety (Theorem A). The Severi-Brauer schemes of some R-orders in the matrix ring M_4(R) of degree 4 over a regular local ring R are constructed (Theorem B). The variety of rank 4 right ideals of the associative k-algebra generated by x,y with the relations x^4 = y^4 = 0 and yx = √xy is described (Theorem C)
In this thesis we study the simplest types of generalized Grassmann varieties. The study involves d...
AbstractLet k be a field, S = k[xv : v ϵ V] be the polynomial ring over the finite set of variables ...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
A twisted Grassmann variety (a form of Grassmann variety), which is the variety representing the fun...
AbstractA variety IV(A, *) is canonically associated to a central simple algebra A with orthogonal i...
We give a computation of the K-groups of Grassmannians and flag varieties over an arbitrary Noetheri...
Abstract By [M. Golasiński, F. Gómez Ruiz, Polynomial and regular maps into Grassmannians, submitted...
Sei k ein Körper. Jeder endlichdimensionalen, zentraleinfachen k-Algebra A läßt sich eine Brauer-Sev...
textIn an attempt to prove Amitsur's Conjecture for cyclic subgroups of the Brauer group, we look at...
textIn an attempt to prove Amitsur's Conjecture for cyclic subgroups of the Brauer group, we look at...
AbstractBy [M. Golasiński, F. Gómez Ruiz, Polynomial and regular maps into Grassmannians, submitted]...
AbstractWe consider orthogonal and symplectic analogues of determinantal varieties O¯r1,r2. Such var...
The objects of interest in this thesis are positroid varieties in the Grassmannian, which are indexe...
We investigate the structure of the twisted Brauer monoid (Figure presented.), comparing and contras...
AbstractWe consider subvarieties of determinantal varieties determined by an additional rank equatio...
In this thesis we study the simplest types of generalized Grassmann varieties. The study involves d...
AbstractLet k be a field, S = k[xv : v ϵ V] be the polynomial ring over the finite set of variables ...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
A twisted Grassmann variety (a form of Grassmann variety), which is the variety representing the fun...
AbstractA variety IV(A, *) is canonically associated to a central simple algebra A with orthogonal i...
We give a computation of the K-groups of Grassmannians and flag varieties over an arbitrary Noetheri...
Abstract By [M. Golasiński, F. Gómez Ruiz, Polynomial and regular maps into Grassmannians, submitted...
Sei k ein Körper. Jeder endlichdimensionalen, zentraleinfachen k-Algebra A läßt sich eine Brauer-Sev...
textIn an attempt to prove Amitsur's Conjecture for cyclic subgroups of the Brauer group, we look at...
textIn an attempt to prove Amitsur's Conjecture for cyclic subgroups of the Brauer group, we look at...
AbstractBy [M. Golasiński, F. Gómez Ruiz, Polynomial and regular maps into Grassmannians, submitted]...
AbstractWe consider orthogonal and symplectic analogues of determinantal varieties O¯r1,r2. Such var...
The objects of interest in this thesis are positroid varieties in the Grassmannian, which are indexe...
We investigate the structure of the twisted Brauer monoid (Figure presented.), comparing and contras...
AbstractWe consider subvarieties of determinantal varieties determined by an additional rank equatio...
In this thesis we study the simplest types of generalized Grassmann varieties. The study involves d...
AbstractLet k be a field, S = k[xv : v ϵ V] be the polynomial ring over the finite set of variables ...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...