Assoziierter graduierter Ring/Restklassenring/Hyperfläche/Untergrad/Aufgabe

Sei ${}R=K[X_{1},\ldots ,X_{n}]/(F)$ mit der homogenen Zerlegung ${}F=F_{d}+F_{d+1}+\cdots +F_{m}$ und sei ${}{\mathfrak {m}}={\left(X_{1},\ldots ,X_{n}\right)}$ . Zeige

{}\operatorname {Gr} _{\mathfrak {m}}R\cong K[T_{1},\ldots ,T_{n}]/(F_{d})\,.

Eine Lösung erstellen

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