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Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 152 / 3 / d

Codex (@codex,  0) ... Mathematics course of the University of Cambridge Past exam of the mathematics course of the University of Cambridge 2022 iii Paper 152 3
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d
Let E1​ be the invariant point divisor of P1 corresponding to the ray R≥0​. Under (u1​,u2​)↦u1​, the ray (1,0) maps primitively to that ray, while no other ray maps into its interior. The toric pullback formula gives
π∗E1​=D1​,
(1)
equivalently D1​=π−1(E1​) as divisors.

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