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... ... ...123 Chapter 0. Summary... ... ...124 §1. Reciprocity... ... ...124 §2. Statement of results... ... ...126 Chapter I. Curves with the property (P)... ... ...131 §1. Definition... ... ...131 §2. Reducible curves with the property (P)... ... ...137 Chapter II. Functions belonging to the class (D0)... ... ...140 §1. Outlines... ... ...140 §2. Determination... ... ...150 Chapter III. Rational functions of C*-type on P2... ... ...162 §1. Critical level curves... ... ...162 §2. Functions of direct C*-type... ... ...167 §3. Non-existence of torsional C*-type... ... ...174

Rational functions of ${\bf C}^\ast$-type on the two-dimensional complex projective space