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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This author was supported by CONACyT México through the agreement CVU-440153
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Duarte, E.R., Top, J. A proof of the Hasse-Weil inequality for genus 2 à la Manin. Indian J Pure Appl Math 51, 761–776 (2020). https://doi.org/10.1007/s13226-020-0429-1
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DOI: https://doi.org/10.1007/s13226-020-0429-1