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Let $\pi\colon X\to Y$ be a proper morphism of smooth complex algebraic varieties with $\dim X = 2n$ and general fibers of dimension $<n$. Assume that $F := \pi^{-1}(p)$ is a an irreducible and reduced $n$-dimensional fiber, is it true that $F^2<0$?
Let $\pi\colon X\to Y$ be a proper morphism of smooth algebraic varieties with $\dim X = 2n$ and general fibers of dimension $<n$. Assume that $F := \pi^{-1}(p)$ is a an irreducible and reduced $n$-dimensional fiber, is it true that $F^2<0$?
Let $\pi\colon X\to Y$ be a proper morphism of smooth complex algebraic varieties with $\dim X = 2n$ and general fibers of dimension $<n$. Assume that $F := \pi^{-1}(p)$ is a an irreducible and reduced $n$-dimensional fiber, is it true that $F^2<0$?
Let $\pi\colon X\to Y$ be a proper morphism of smooth algebraic varieties with $\dim X = 2n$ and general fibers of dimension $<n$. Assume that $F := \pi^{-1}(p)$ is a an irreducible and reduced $n$-dimensional fiber, is it true that $F^2<0$?
