Rigidity of superminimal surfaces in complex projective spaces

Quo-Shin Chi, Xiaokang Mo
1992 Tohoku mathematical journal  
This paper solves the rigidity problem for branched superminimal immersions in complex projective spaces. Bertini's theorem and Chow varieties in algebraic geometry as well as results on Teichmϋller spaces and the deformation theory of holomorphic maps and used.
doi:10.2748/tmj/1178227378 fatcat:jazkgzhqrzauth5oi24v4biuam