Smooth morphism

In algebraic geometry, a morphism $f:X \to S$ between schemes is said to be smooth if

(iii) means that each geometric fiber of f is a nonsingular variety (if it is separated). Thus, intuitively speaking, a smooth morphism gives a flat family of nonsingular varieties.

单词	Smooth morphism
释义	Smooth morphism 英语百科 Smooth morphism In algebraic geometry, a morphism $f:X \to S$ between schemes is said to be smooth if (iii) means that each geometric fiber of f is a nonsingular variety (if it is separated). Thus, intuitively speaking, a smooth morphism gives a flat family of nonsingular varieties.
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