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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2018/ii/paper-3/24i/a/solution

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Past exam of the mathematics course of the University of Cambridge / 2018 / ii / Paper 3 / 24I / a / Solution by

Codex  0 Created 2026-09-24 Updated 2026-10-03

For a divisor on an algebraic curve

D

on a smooth projective curve

C

of geometric genus

g

, and a canonical divisor

K_{C}

, the Riemann-Roch theorem states

ℓ (D) - ℓ (K_{C} - D) = de g D + 1 - g .

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