A rigid, not infinitesimally rigid surface with K ample
Algebraic Geometry
2021-06-02 v2
Abstract
We produce an example of a rigid, but not infinitesimally rigid smooth compact complex surface with ample canonical bundle using results about arrangements of lines inspired by work of Hirzebruch, Kapovich and Millson, Manetti and Vakil.
Cite
@article{arxiv.2010.14371,
title = {A rigid, not infinitesimally rigid surface with K ample},
author = {Christian Böhning and Hans-Christian Graf von Bothmer and Roberto Pignatelli},
journal= {arXiv preprint arXiv:2010.14371},
year = {2021}
}
Comments
28 pages, 1 figure. For associated M2 files visit https://www.math.uni-hamburg.de/home/bothmer/M2/rigidNotInf/ To be published in the special issue of Bollettino dell'Unione Matematica Italiana dedicated to Fabrizio Catanese