Abstract Projective Lines

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

We describe a notion of (abstract) projective line over a field as a set
equipped with a certain first order structure, and a projectivity between
projective lines as a bijection preserving this structure. The structure in
question is that of a groupoid, with certain properties. This leads to a
natural notion of bundle of projective lines, forming a stack.

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