< Hyperfläche < Homogene Zerlegung < Obergrad
Es sei
![{\displaystyle {}F=F_{m}+F_{m+1}+\cdots +F_{d}\in K[X_{1},\ldots ,X_{n}]\,}](../../../../I/633f8a972760683b0b2119ed25771783ab442c6f.svg)
die homogene Zerlegung eines Polynoms und
![{\displaystyle {}R={\left(K[X_{1},\ldots ,X_{n}]_{\left(X_{1},\ldots ,X_{n}\right)}\right)}/(F)\,}](../../../../I/328c17508ebe1a369fd92ceb884135a1b2d93bae.svg)
der zugehörige lokale Ring.
Zeige, dass der Obergrad keine Invariante des lokalen Ringes ist.
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