A general setting for a standard monomial theory on a multiset is introduced and applied to the Cox ring of a wonderful variety. This gives a degeneration result of the Cox ring to a multicone over a partial flag variety. Further, we deduce that the Cox ring has rational singularities
In algebraic geometry, we often study algebraic varieties by looking at their codimension one subvar...
The Cox ring of an algebraic variety (satisfying some natural conditions) is a very rich invariant. ...
This work is centered around the question How singular is a point on an algebraic or analytic varie...
A general setting for a standard monomial theory on a multiset is introduced and applied to the Cox ...
This thesis consists of two chapters that, seemingly distinct at first, are related by the common th...
We give a proper definition of the multiplicative structure of the following rings: Cox ring of inve...
We study Grobner degenerations of Schubert varieties inside flag varieties. We consider toric degene...
The book is a reproduction of a course of lectures delivered by the author in 1983-84 which appeared...
We define the equivariant Cox ring of a normal variety with algebraic group action. We study algebra...
L'anneau de Cox d'une variété algébrique (satisfaisant des conditions naturelles) est un invariant t...
AbstractBackelin proved that the multigraded Poincaré series for resolving a residue field over a po...
AbstractWe investigate the Cox ring of a normal complete variety X with algebraic torus action. Our ...
AbstractLet G be the general linear group or the symplectic group over the complex numbers, and U be...
Flag varieties are important geometric objects and their study involves an interplay of geometry, co...
We generalize to all normal complex algebraic varieties the valuative characterization of multiplier...
In algebraic geometry, we often study algebraic varieties by looking at their codimension one subvar...
The Cox ring of an algebraic variety (satisfying some natural conditions) is a very rich invariant. ...
This work is centered around the question How singular is a point on an algebraic or analytic varie...
A general setting for a standard monomial theory on a multiset is introduced and applied to the Cox ...
This thesis consists of two chapters that, seemingly distinct at first, are related by the common th...
We give a proper definition of the multiplicative structure of the following rings: Cox ring of inve...
We study Grobner degenerations of Schubert varieties inside flag varieties. We consider toric degene...
The book is a reproduction of a course of lectures delivered by the author in 1983-84 which appeared...
We define the equivariant Cox ring of a normal variety with algebraic group action. We study algebra...
L'anneau de Cox d'une variété algébrique (satisfaisant des conditions naturelles) est un invariant t...
AbstractBackelin proved that the multigraded Poincaré series for resolving a residue field over a po...
AbstractWe investigate the Cox ring of a normal complete variety X with algebraic torus action. Our ...
AbstractLet G be the general linear group or the symplectic group over the complex numbers, and U be...
Flag varieties are important geometric objects and their study involves an interplay of geometry, co...
We generalize to all normal complex algebraic varieties the valuative characterization of multiplier...
In algebraic geometry, we often study algebraic varieties by looking at their codimension one subvar...
The Cox ring of an algebraic variety (satisfying some natural conditions) is a very rich invariant. ...
This work is centered around the question How singular is a point on an algebraic or analytic varie...