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A continuously varying family of one-dimensional vector spaces over a topological space. A related tag is the vector-bundles tag.

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Morphism attached to a big and globally generated line bundle

Let $X$ be a smooth projective variety over a field $k$. Let $L$ be an invertible sheaf on $X$. Suppose that $L$ is big and globally generated. Can one conclude that the associated morphism $\phi_L : …
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