Arithmetische Theorie der Algebraischen Funktionen

Uniqueness theorems for parametrized algebraic curves

“…There is an extensive treatment in Hensel and Landsberg [4]; a more modern reference is Iitaka [5]. Not all authors use the same nomenclature for these formulas.…”

On the generalized difference polynomials

“…Corollary 5 was obtained by G. Angermϋller in [3] with different methods in the special case F(X, Y) is a generalized difference polynomial. If deg(Piy) = a then deg x (i 7 2) = 0. Therefore F 2 is a polynomial from fc [7].…”

Riemann surfaces which are doubles of plane domains

“…This mapping, known as the Noethβr mapping [1], is an analytic homeomorphism of & into P ? ,_ 1 (C r ) if p > 2 and & is not hyperelliptic.…”

“…1 and ^' is connected, *SS" c ^". Likewise *^r' c ^\ Therefore (since *(^' U ^r / ) = ^' U ^") we have *^' = " and %Sf" = ^'.…”