Konvergenter Potenzreihenring/Lokal/Fakt

Der Ring der konvergenten Potenzreihen in ${}P\in \mathbb {C} ^{n}$ ist

lokal mit dem maximalen Ideal ${}{\mathfrak {m}}_{P}={\left\{f\in {\mathcal {O}}_{P}\mid f(P)=0\right\}}$ .

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