Add to ORKGAbstract. Given an action of a reductive group on a normal variety, we con-struct all invariant open subsets admitting a good quotient with a quasipro-jective or a divisorial quotient space. Our approach extends known construc-tions like Mumford’s Geometric Invariant Theory. We obtain several new Hilbert-Mumford type theorems, and we extend a projectivity criterion of Bialynicki-Birula and Świȩcicka for varieties with semisimple group action from the smooth to the singular case. 1
AbstractWe consider actions of reductive groups on a variety with finitely generated Cox ring, e.g.,...
Geometric Invariant Theory (GIT) is a powerful theory for constructing and studying the geometry of ...
Geometric Invariant Theory (GIT) is developed in this text within the context of algebraic geometry ...
Abstract. We provide a Hilbert-Mumford Criterion for actions of reductive groups G on Q-factorial co...
When the action of a reductive group on a projective variety has a suitable linearisation, Mumford's...
We provide a Hilbert-Mumford Criterion for actions of reductive groups G on Q-factorial complex vari...
When the action of a reductive group on a projective variety has a suitable linearisation, Mumford's...
In this article we review the question of constructing geometric quotients of actions of linear alge...
In this thesis we develop a framework for constructing quotients of varieties by actions of linear a...
In this article we review the question of constructing geometric quotients of actions of linear alge...
Let U be a graded unipotent group over the complex numbers, in the sense that it has an extension U ...
Let U be a graded unipotent group over the complex numbers, in the sense that it has an extension U ...
Variation of Geometric Invariant Theory (VGIT) [DH98, Tha96] studies the structure of the dependence...
Let the special linear group G := SL2 act regularly on a Q-factorial variety X. Consider a maximal t...
Variation of Geometric Invariant Theory (VGIT) [DH98, Tha96] studies the structure of the dependence...
AbstractWe consider actions of reductive groups on a variety with finitely generated Cox ring, e.g.,...
Geometric Invariant Theory (GIT) is a powerful theory for constructing and studying the geometry of ...
Geometric Invariant Theory (GIT) is developed in this text within the context of algebraic geometry ...
Abstract. We provide a Hilbert-Mumford Criterion for actions of reductive groups G on Q-factorial co...
When the action of a reductive group on a projective variety has a suitable linearisation, Mumford's...
We provide a Hilbert-Mumford Criterion for actions of reductive groups G on Q-factorial complex vari...
When the action of a reductive group on a projective variety has a suitable linearisation, Mumford's...
In this article we review the question of constructing geometric quotients of actions of linear alge...
In this thesis we develop a framework for constructing quotients of varieties by actions of linear a...
In this article we review the question of constructing geometric quotients of actions of linear alge...
Let U be a graded unipotent group over the complex numbers, in the sense that it has an extension U ...
Let U be a graded unipotent group over the complex numbers, in the sense that it has an extension U ...
Variation of Geometric Invariant Theory (VGIT) [DH98, Tha96] studies the structure of the dependence...
Let the special linear group G := SL2 act regularly on a Q-factorial variety X. Consider a maximal t...
Variation of Geometric Invariant Theory (VGIT) [DH98, Tha96] studies the structure of the dependence...
AbstractWe consider actions of reductive groups on a variety with finitely generated Cox ring, e.g.,...
Geometric Invariant Theory (GIT) is a powerful theory for constructing and studying the geometry of ...
Geometric Invariant Theory (GIT) is developed in this text within the context of algebraic geometry ...