A proof of the Hasse-Weil inequality for genus 2 \`a la Manin
Abstract
We prove the Hasse-Weil inequality for genus 2 curves given by an equation of the form y2 = f(x) with f a polynomial of degree 5, using arguments that mimic the elementary proof of the genus 1 case obtained by Yu. I. Manin in 1956.
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