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arXiv · 1501.01768

Cycle connectivity and pseudoconcavity of flag domains

Tatsuki Hayama
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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.

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Tatsuki Hayama. 2015-01-08. Cycle connectivity and pseudoconcavity of flag domains. https://arxiv.org/abs/1501.01768

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