We give a systematic treatment of the stability theory for action of a real reductive Lie group G on a topological space. More precisely, we introduce an abstract setting for actions of noncompact real reductive Lie groups on topological spaces that admit functions similar to the KempfâNess function. The point of this construction is that one can characterize stability, semi-stability and polystability of a point by numerical criteria, that is in terms of a function called maximal weight. We apply this setting to the actions of a real noncompact reductive Lie group G on a real compact submanifold M of a Kähler manifold Z and to the action of G on measures of M
We study the action of a real reductive group G on a real submanifold X of a Kähler manifold Z. We s...
AbstractIn this article we give an explicit formula for the push forward of the Liouville measure of...
For a complex reductive group G acting linearly on a complex affine space V with respect to a charac...
We presented a systematic treatment of a Hilbert criterion for stability theory for an action of a r...
Let (M,ω) be a Kähler manifold and let K be a compact group that acts on M in a Hamiltonian fashion....
36 pagesInternational audienceWe give a generalisation of the theory of optimal destabilizing 1-para...
Consider a Hamiltonian action of a compact Lie group $ K$ on a Kaehler manifold $ X$ with moment map...
27International audienceWe give a systematic presentation of the stability theory in the non-algebra...
AbstractGiven an action of a complex reductive Lie group G on a normal variety X, we show that every...
Given a Kähler manifold (Z, J, ω) and a compact real submanifold M ⊂ Z, we study the properties of t...
Let (G_mathbb R) be a real, semisimple, linear and connected Lie group. Let K denote the complexific...
Let G be a real reductive Lie group and let τ : G −→ GL(V ) be a real reductive representation of G ...
In this article we discuss the role of stability functions in geometric invariant theory and apply s...
In der vorliegenden Arbeiten betrachten wir Wirkungen von komplex reduktiven Lie-Gruppen auf Kähler-...
For a complex reductive group G acting linearly on a complex affine space V with respect to a charac...
We study the action of a real reductive group G on a real submanifold X of a Kähler manifold Z. We s...
AbstractIn this article we give an explicit formula for the push forward of the Liouville measure of...
For a complex reductive group G acting linearly on a complex affine space V with respect to a charac...
We presented a systematic treatment of a Hilbert criterion for stability theory for an action of a r...
Let (M,ω) be a Kähler manifold and let K be a compact group that acts on M in a Hamiltonian fashion....
36 pagesInternational audienceWe give a generalisation of the theory of optimal destabilizing 1-para...
Consider a Hamiltonian action of a compact Lie group $ K$ on a Kaehler manifold $ X$ with moment map...
27International audienceWe give a systematic presentation of the stability theory in the non-algebra...
AbstractGiven an action of a complex reductive Lie group G on a normal variety X, we show that every...
Given a Kähler manifold (Z, J, ω) and a compact real submanifold M ⊂ Z, we study the properties of t...
Let (G_mathbb R) be a real, semisimple, linear and connected Lie group. Let K denote the complexific...
Let G be a real reductive Lie group and let τ : G −→ GL(V ) be a real reductive representation of G ...
In this article we discuss the role of stability functions in geometric invariant theory and apply s...
In der vorliegenden Arbeiten betrachten wir Wirkungen von komplex reduktiven Lie-Gruppen auf Kähler-...
For a complex reductive group G acting linearly on a complex affine space V with respect to a charac...
We study the action of a real reductive group G on a real submanifold X of a Kähler manifold Z. We s...
AbstractIn this article we give an explicit formula for the push forward of the Liouville measure of...
For a complex reductive group G acting linearly on a complex affine space V with respect to a charac...