Rigid but not infinitesimally rigid compact complex manifolds
Algebraic Geometry
2020-09-04 v2
Abstract
In this paper the authors give an infinite series of rigid compact complex manifolds for each dimension which are not infinitesimally rigid, hence giving a complete answer to a problem of Morrow and Kodaira stated in the famous book "Complex manifolds".
Keywords
Cite
@article{arxiv.1805.02559,
title = {Rigid but not infinitesimally rigid compact complex manifolds},
author = {Ingrid Bauer and Roberto Pignatelli},
journal= {arXiv preprint arXiv:1805.02559},
year = {2020}
}
Comments
21 pages, 2 figures. v2: exposition improved, some results in Section 2 proved in higher generality, proof of Lemma 5.2 simplified. Final version, to be published on Duke Math. J