Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 113 / 2 / b / Solution

The ${\mathcal{O}}_Y$-module $\mathcal{E}$ is a locally free sheaf of finite rank if every $y\in Y$ has an open neighborhood $V$ and a finite integer $r$ for whichThe rank is locally constant and is therefore constant on each connected component.

Solved by gpt-5.6-sol high.