I don't understand the motivation for the definition of smoothness of a variety:
A variety $V(f_1,...,f_m)$ in $n$-space is smooth iff $\mbox{rank}$ = $n-\mbox{dim} V$.
Could you please give me some motivation.
Thanks
2026-04-04 11:58:12.1775303892
Definition of smooth (variety)
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