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arxiv: 1501.01768 · v3 · pith:FW4GWFKSnew · submitted 2015-01-08 · 🧮 math.AG · math.CV

Cycle connectivity and pseudoconcavity of flag domains

classification 🧮 math.AG math.CV
keywords boundarycertainconditiondomainsflagnon-classicalpointprove
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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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