Author:
Böhning Christian,von Bothmer Hans-Christian Graf,Pignatelli Roberto
Abstract
AbstractWe 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 & Millson, Manetti and Vakil.
Publisher
Springer Science and Business Media LLC
Reference20 articles.
1. Bauer, I., Catanese, F.: On rigid compact complex surfaces and manifolds. Adv. Math. 333, 620–669 (2018)
2. Bauer, I., Catanese, F.: Del Pezzo surfaces, rigid line configurations and Hirzebruch-Kummer coverings. Boll. Unione Mat. Ital. 12(1–2), 43–62 (2019)
3. Bauer, I., Pignatelli, R.: Product-quotient surfaces: new invariants and algorithms. Groups Geom. Dyn. 10, 319–363 (2016)
4. Bauer, I., Pignatelli, R.: Rigid but not infinitesimally rigid compact complex manifolds, preprint (2018). arXiv:1805.02559 [math.AG], to appear on Duke Math. J
5. Böhning, C., Graf v. Bothmer, H.-C., Pignatelli, R.: M2 files for the article A rigid, not infinitesimally rigid surface of general type with $$K$$ ample. https://www.math.uni-hamburg.de/home/bothmer/M2/rigidNotInf/
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献