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Let $X$ be a smooth, complex projective algebraic variety defined over a number field $K$. Let $D$ be a divisor of $X$ defined over $K$ with the following property: For any curve $C$ defined over $K$,...

I am supposed to give a talk about the Riemann-Roch theorem to a seminar of first and second year graduate students. I want to do Riemann-Roch for compact Riemann surfaces, but I am open to perhaps ...