Kähler manifolds with numerically effective Ricci class
Kähler manifolds with split tangent bundle
This paper is concerned with compact Kähler manifolds whose tangent bundle splits as a sum of subbundles. In particular, it is shown that if the tangent bundle is a sum of line bundles, then the manifold is uniformised by a product of curves. The methods are taken from the theory of foliations of (co)dimension 1.
Kähler metrics associated to a real hypersurface.
Kähler Spaces and Proper Open Morphisms.
Kähler-Einstein metrics on log del Pezzo surfaces in weighted projective 3-spaces
We determine all anticanonically embedded quasi smooth log del Pezzo surfaces in weighted projective 3-spaces. Many of these admit a Kähler-Einstein metric and most of them do not have tigers.
Kähler-Einstein metrics singular along a smooth divisor
In this note we discuss some recent and ongoing joint work with Thalia Jeffres concerning the existence of Kähler-Einstein metrics on compact Kähler manifolds which have a prescribed incomplete singularity along a smooth divisor . We shall begin with a general discussion of the problem, and give a rough outline of the “classical” proof of existence in the smooth case, due to Yau and Aubin, where no singularities are prescribed. Following this is a discussion of the geometry of the conical or edge...
Kähler-Einstein metrics with mixed Poincaré and cone singularities along a normal crossing divisor
Let be a compact Kähler manifold and be a -divisor with simple normal crossing support and coefficients between and . Assuming that is ample, we prove the existence and uniqueness of a negatively curved Kahler-Einstein metric on having mixed Poincaré and cone singularities according to the coefficients of . As an application we prove a vanishing theorem for certain holomorphic tensor fields attached to the pair .
Kähler-Einstein structures of general natural lifted type on the cotangent bundles.
Kählerian extensions of the symplectic reduction.
K-analytic versus ccm-analytic sets in nonstandard compact complex manifolds
It is shown that in an elementary extension of a compact complex manifold M, the K-analytic sets (where K is the algebraic closure of the underlying real closed field) agree with the ccm-analytic sets if and only if M is essentially saturated. In particular, this is the case for compact Kähler manifolds.
Kantenkohomologie
KAWA Lecture Notes
k-convexity in several complex variables
We define and investigate the notion of k-convexity in the sense of Mejia-Minda for domains in ℂⁿ and also that of k-convex mappings on the Euclidean unit ball.
Kernel convergence and biholomorphic mappings in several complex variables.
Kernels of Martinelli-Bochner type on hypersurfaces.
Kernels of Toeplitz operators on the Bergman space
A Coburn theorem says that a nonzero Toeplitz operator on the Hardy space is one-to-one or its adjoint operator is one-to-one. We study the corresponding problem for certain Toeplitz operators on the Bergman space.
k-holomorphe Vektorraumbündel auf offenen Polyzylindern.
Killing divisor classes by algebraisation
It is proved that any isolated singularity of complete intersection has an algebraisation whose divisor class group is finitely generated.
Klassifikation 2-dimensionaler Singularitäten mit auflösbaren lokalen Fundamentalgruppen.
Klassifikation der einfachen reellen Ausnahme-Jordan-Tripelsysteme.