Deformation limits of projective manifolds: Hodge numbers and strongly Gauduchon metrics
Purchase on Springer.com
$39.95 / €34.95 / £29.95 *
* Final gross prices may vary according to local VAT.
This paper is intended to start a series of works aimed at proving that if in a (smooth) complex analytic family of compact complex manifolds all the fibres, except one, are supposed to be projective, then the remaining (limit) fibre must be Moishezon. A new method of attack, whose starting point originates in Demailly’s work, is introduced. While we hope to be able to address the general case in the near future, two important special cases are established here: the one where the Hodge numbers h 0,1 of the fibres are supposed to be locally constant and the one where the limit fibre is assumed to be a strongly Gauduchon manifold. The latter is a rather weak metric assumption giving rise to a new, rather general, class of compact complex manifolds that we hereby introduce and whose relevance to this type of problems we underscore.
Supplementary Material (0)
About this Article
- Deformation limits of projective manifolds: Hodge numbers and strongly Gauduchon metrics
- Print ISSN
- Online ISSN
- Additional Links
- Author Affiliations