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math.CV2020
On the strongly pseudoconcave boundary of a compact complex surface
Naohiko Kasuya, Daniele Zuddas
We establish the method of holomorphic handle attaching to the strongly pseudoconcave boundary of a complex surface. We use this for proving the following statements: (1) every clo…
math.CV2017★ 3 cited
A concave holomorphic filling of an overtwisted contact -sphere
Naohiko Kasuya, Daniele Zuddas
In this paper we prove that the closed -ball admits non-Kähler complex structures with strictly pseudoconcave boundary. Moreover, the induced contact structure on the boundary $…