A proof of the Hasse-Weil inequality for genus 2 à la Manin

Eduardo Ruíz Duarte () and Jaap Top ()
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Eduardo Ruíz Duarte: University of Groningen
Jaap Top: University of Groningen

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 2, 761-776

Abstract: 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.

Keywords: Hasse-Weil inequality; hyperelliptic curve; genus two curve; 11G10; 11G20; 14G10; 14G15 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0429-1

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