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arXiv · 1904.08662

A proof of the Hasse-Weil inequality for genus 2 \`a la Manin

Eduardo Ruíz Duarte·Jaap Top
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Abstract

We prove the Hasse-Weil inequality for genus 2 curves given by an equation of the form y^2 = 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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Eduardo Ruíz Duarte, Jaap Top. 2019-04-18. A proof of the Hasse-Weil inequality for genus 2 \`a la Manin. https://arxiv.org/abs/1904.08662

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