English

Cycle connectivity and pseudoconcavity of flag domains

Algebraic Geometry 2017-01-27 v3 Complex Variables

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.

Keywords

Cite

@article{arxiv.1501.01768,
  title  = {Cycle connectivity and pseudoconcavity of flag domains},
  author = {Tatsuki Hayama},
  journal= {arXiv preprint arXiv:1501.01768},
  year   = {2017}
}

Comments

16 pages, 5 figures