What is the definition of this ideal in $\mathbb C[X,Y]\ I=(f(X,Y),g(X,Y))$ for some polynomials $f,g \in \mathbb C[X,Y]$
2026-04-03 03:56:41.1775188601
What is the definition of $I=(f(X,Y),g(X,Y))$?
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It is the ideal generated by $f$ an $g$, i.e. any polynomial in teh ideal has the form $a(x,y)f(x,y)+b(x,y)g(x,y)$ for $a,b$ any polynomials in your ring.