A generalization of twistor lines for complex tori
Algebraic Geometry
2019-01-08 v2 Complex Variables
Differential Geometry
Abstract
In this work we generalize the classical notion of a (compact) twistor line in the period domain of compact complex tori. We introduce two new types of lines, which are non-compact analytic curves in the period domain of complex tori. We study the analytic properties of the compactifications of the curves, the preservation of cohomology classes of type (1,1) along the curves and the twistor path connectivity of the period domain by the curves of one of the new types.
Keywords
Cite
@article{arxiv.1806.08390,
title = {A generalization of twistor lines for complex tori},
author = {Nikolay Buskin},
journal= {arXiv preprint arXiv:1806.08390},
year = {2019}
}
Comments
21 pages, 2 figures, a (previously erroneous) part of the statement of Theorem 1.1 about intersection of tangent spaces at infinity has been corrected, the proof has been rewritten accordingly. Some minor editing of the proof of Theorem 1.3