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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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Pullback along the Torelli map is an isomorphism

I see two ways interpreting "on the nose": 1) At the level of the orbifold Picard group, or that is at stack level, and in my view this is the correct framework, both Pic_{orb}(M_g) and Pic_{orb}(A_g) …
Gavril Farkas's user avatar