We investigate the complex geometry of total spaces of reductive principal bundles over compact base spaces and establish a close relation between the Kähler property of the base, momentum maps for the action of a maximal compact subgroup on the total space, and the Kähler property of special equivariant compactifications. We provide many examples illustrating that the main result is optimal
For a complex reductive group G acting linearly on a complex affine space V with respect to a charac...
LetH be a semisimple algebraic group. We prove the semistable reduction theorem for µ–semistable pri...
We study polar actions with horizontal sections on the total space of certain principal bundles G/K ...
We give a construction of integrable complex structures on the total space of a smooth principal bun...
We classify principal bundles on a compact Riemann surface. A moduli space for semistable principal ...
In der vorliegenden Arbeiten betrachten wir Wirkungen von komplex reduktiven Lie-Gruppen auf Kähler-...
Let (X, ω) be a compact connected Kähler manifold of complex dimension d and EG a holomorphic princi...
Generalizing the Harder-Narasimhan filtration of a vector bundle it is shown that a principal G-bund...
Here we present new results for the most general case of arbitrary Riemannian regular Ф-spaces. More...
Let G be a complex reductive algebraic group. We construct the moduli spaces of tensor fields of spe...
Let (X, ω) be a compact connected Kahler manifold of complex dimension d and EG → X a hol...
AbstractLet EG be a polystable principal G-bundle over a compact connected Kähler manifold, where G ...
Abstract. We investigate principal G-bundles on a compact Kähler manifold, where G is a complex alg...
Generalizing the Harder-Narasimhan filtration of a vector bundle it is shown that a principal G-bund...
AbstractLet EG be a principal G-bundle over a compact connected Kähler manifold, where G is a connec...
For a complex reductive group G acting linearly on a complex affine space V with respect to a charac...
LetH be a semisimple algebraic group. We prove the semistable reduction theorem for µ–semistable pri...
We study polar actions with horizontal sections on the total space of certain principal bundles G/K ...
We give a construction of integrable complex structures on the total space of a smooth principal bun...
We classify principal bundles on a compact Riemann surface. A moduli space for semistable principal ...
In der vorliegenden Arbeiten betrachten wir Wirkungen von komplex reduktiven Lie-Gruppen auf Kähler-...
Let (X, ω) be a compact connected Kähler manifold of complex dimension d and EG a holomorphic princi...
Generalizing the Harder-Narasimhan filtration of a vector bundle it is shown that a principal G-bund...
Here we present new results for the most general case of arbitrary Riemannian regular Ф-spaces. More...
Let G be a complex reductive algebraic group. We construct the moduli spaces of tensor fields of spe...
Let (X, ω) be a compact connected Kahler manifold of complex dimension d and EG → X a hol...
AbstractLet EG be a polystable principal G-bundle over a compact connected Kähler manifold, where G ...
Abstract. We investigate principal G-bundles on a compact Kähler manifold, where G is a complex alg...
Generalizing the Harder-Narasimhan filtration of a vector bundle it is shown that a principal G-bund...
AbstractLet EG be a principal G-bundle over a compact connected Kähler manifold, where G is a connec...
For a complex reductive group G acting linearly on a complex affine space V with respect to a charac...
LetH be a semisimple algebraic group. We prove the semistable reduction theorem for µ–semistable pri...
We study polar actions with horizontal sections on the total space of certain principal bundles G/K ...