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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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Metric on line bundle defined fiberwise

Let $(X,\mathcal{O}_X)$ be an analytic space, and let $L$ be a line bundle on $X$. Intuitively, a metric $||\cdot||$ is a continuous choice of a metric for each fiber of the line bundle, which is a co …
Lorenzo Andreaus's user avatar