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For questions about sheaves on a topological space.

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Locally free sheaves and vector bundles over smooth connected projective curve

Welcome to MathOverflow! Question 1: this can be checked locally, on affine opens or local rings, and then becomes an exercise: if $0 \to M' \to M \overset{\pi}{\to} M'' \to 0$ is an exact sequence of …
Evgeny Shinder's user avatar