On a holomorphic fiber bundle with meromorphic structure

Holomorphic fiber bundle with Stein base and Stein fibers

A surjective holomorphic map Π : X → Y between complex spaces is said to be a Stein morphism, if for every point y ∈ Y , there exists an open neighborhood U of y such that Π(U) is Stein. In 1977, Skoda [12] showed that a locally trivial analytic fiber bundle Π : X → Ω with Stein base and Stein fibers is not necessarily a Stein manifold. Thus giving a negative answer to a conjecture proposed in ...

A Fiber Bundle Model of the Ice Ih Structure

A three-dimensional model of ice Ih based on the fiber bundle approach is presented. A hybrid structure of ice consisting of the oxygen lattice with the P63/mmc crystallographic symmetry and the hydrogen subsystem satisfying the Bernal-Fowler rules is considered. Controllable change of the protons position at hydrogen bounds by optoacoustic perturbation is discussed. Both classic and bispinor H...

On holomorphic foliations with projective transverse structure

We study codimension one holomorphic foliations on complex projective spaces and compact manifolds under the assumption that the foliation has a projective transverse structure in the complement of some invariant codimension one analytic subset. The basic motivation is the characterization of pull-backs of Riccati foliations on projective spaces. Our techniques apply to give a description of th...

The Drinfeld Sokolov Holomorphic Bundle and Classical

On the Canonical Line Bundle and Negative Holomorphic Sectional Curvature

We prove that a smooth complex projective threefold with a Kähler metric of negative holomorphic sectional curvature has ample canonical line bundle. In dimensions greater than three, we prove that, under equal assumptions, the nef dimension of the canonical line bundle is maximal. With certain additional assumptions, ampleness is again obtained. The methods used come from both complex differen...