Die projektive Gerade/Globaler Schnittring/Aufgabe

Sei ${}K$ ein Körper. Bestimme den globalen Schnittring

\Gamma {\left({\mathbb {P} }_{K}^{1},{\mathcal {O}}_{{\mathbb {P} }_{K}^{1}}\right)}.

Was folgt daraus für einen Morphismus

{}{\mathbb {P} }_{K}^{1}\rightarrow {\mathbb {A} }_{K}^{1}

?

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