Some examples due to H. Hironaka
Algebraic Geometry
2015-03-30 v2 Complex Variables
Abstract
The aim of this paper is to explain the construction by H. Hironaka [H.61] of a holomorphic (in fact "algebraic") family of compact complex manifolds parametrized by such for all the fiber is projective, but such that the fiber at the origin in non k{\"a}hlerian, to mathematicians which are not algebraic geometers. We also explain why it is not possible to make in the same way such an example with fiber at a simpler example of non k{\"a}hlerian Moishezon manifold which is also due to H. Hironaka (see section 5).
Keywords
Cite
@article{arxiv.1501.01129,
title = {Some examples due to H. Hironaka},
author = {Daniel Barlet},
journal= {arXiv preprint arXiv:1501.01129},
year = {2015}
}
Comments
Some more explanations and comments added