Marco Kuehnel

activity

20012007

collaborators

4 papers

math.AG2007

Ricci-flat Deformations of Holomorphic Vector Bundles

Marco Kuehnel

In this paper we give a criterion for a deformation of a hermitian vector bundle to be Ricci-flat. As an application we show that on a Kähler manifold, every deformation of a vecto…

math.DG2003

On invariance and Ricci-flatness of Hermitian metrics on open manifolds

Bert Koehler, Marco Kuehnel

We discuss a technique to construct Ricci-flat hermitian metrics on complements of (some) anticanonical divisors of almost homogeneous manifolds and discuss when this metric is com…

math.AG2002

Calabi-Yau-threefolds with Picard number $ρ (X) = 2$ and their Kaehler cone II

Marco Kuehnel

We prove the rationality of the Kähler cone and the positivity of $c_{2} (X)$ , if $X$ is a Calabi-Yau-threefold with $ρ (X) = 2$ and has an embedding into a ${\bb P}^n$-bundle over ${\bb…

math.AG2001

Calabi-Yau-threefolds with Picard number $ρ (X) = 2$ and their Kaehler cone I

Marco Kuehnel

We describe properties of the Kähler cone of general Calabi-Yau-threefolds with Picard number $ρ (X) = 2$ and prove the rationality of the Kähler cone, if $X$ is a Calabi-Yau-hypersur…

Ricci-flat Deformations of Holomorphic Vector Bundles

On invariance and Ricci-flatness of Hermitian metrics on open manifolds

Calabi-Yau-threefolds with Picard number ρ(X)=2 and their Kaehler cone II

Calabi-Yau-threefolds with Picard number ρ(X)=2 and their Kaehler cone I

Calabi-Yau-threefolds with Picard number $ρ (X) = 2$ and their Kaehler cone II

Calabi-Yau-threefolds with Picard number $ρ (X) = 2$ and their Kaehler cone I