Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
is Is the coordinate ring of a variety finitea finitely generated algebra?
ifLet$k$ be an algebraically closed field and let$X$isbe a (not necessarily affine) variety over $k$. isIs the coordinate ring of $X$ ($k[X]$ or $O_{X}(X)$) finitealways a finitely generated $k$-algebra?
is coordinate ring of a variety finite generated algebra?
if$k$ be algebraically closed field and $X$is variety over $k$. is coordinate ring of $X$ ($k[X]$ or $O_{X}(X)$) finite generated $k$-algebra?
Is the coordinate ring of a variety a finitely generated algebra?
Let$k$ be an algebraically closed field and let$X$be a (not necessarily affine) variety over $k$. Is the coordinate ring of $X$ ($k[X]$ or $O_{X}(X)$) always a finitely generated $k$-algebra?
