On analytic mappings between two algebroid surfaces

Abstract

Let R_n and S_m be two algebroid surfaces defined by yⁿ = G(z) and u^m = g(w), respectively. We here discuss the existence of analytic mappings of R_n into S_m . When R_n and S_m , especially, are regularly branched algebroid surfaces with P(R_n ) = 2n and P(S_m ) = 2m, respectively, we give a perfect condition for the existence of an analytic mapping of R_n into S_m and show a relation between two analytic mappings of R_n into S_n .

AMS (MOS):

• 30D05
• 30D35
• 30F99