Cycle connectivity and pseudoconcavity of flag domains
arXiv:1501.01768
Abstract
We prove that a non-classical flag domain is pseudoconcave if it satisfies a certain condition on the root system. Moreover, we prove that every point in a one-codimensional real boundary orbit of a non-classical period domains is a pseudoconcave boundary point if it satisfies a certain Hodge-theoretical condition.
16 pages, 5 figures