3 papers
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.GT2019
CR regular embeddings of in
Naohiko Kasuya
Ahern and Rudin have given an explicit construction of a totally real embedding of in . As a generalization of their example, we give an explicit example of a C…
math.GT2018
Generic immersions and totally real embeddings
Naohiko Kasuya, Masamichi Takase
We show that, for a closed orientable n-manifold, with n not congruent to 3 modulo 4, the existence of a CR-regular embedding into complex (n-1)-space ensures the existence of a to…