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Jana
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Degree of a smooth projective variety

Let $X, Y$ be two projective schemes contained in $\mathbb{P}^n$ for some $n$. Let $f:X \to Y$ be a surjective projective morphism between smooth projective varieties over $\mathbb{C}$. Under what condition on $f$ can we conclude that the degree of $X$ is equal to the degree of $Y$ added to the degree of the generic fiber of $f$?

Jana
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