Pseudoconvex Domains I — Problem and Reduction

In the present and the next chapter we solve the last Pseudoconvexity Problem of the Three Big Problems on unramified domains over \({{\textbf{C}}^n}\) . We fully employ the results obtained previously, but the path is yet long. Here, introducing the notion of plurisubharmonic (or pseudoconvex) functions, we formulate the Pseudoconvexity Problems and discuss their relations.