Pointless curves of genus three and four (original) (raw)

Pointless hyperelliptic curves

Darren Glass

Finite Fields and Their Applications, 2013

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On the linear bounds on genera of pointless hyperelliptic curves

Ivan Pogildiakov

arXiv: Algebraic Geometry, 2017

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Non-hyperelliptic curves of genus three over finite fields of characteristic two

Enric Nart

Journal of Number Theory, 2006

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Pencils of quadrics and the arithmetic of hyperelliptic curves

Benedict Gross, Xiaoheng Wang

2013

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Some Genus 3 Curves with Many Points

Jaap Top

Lecture Notes in Computer Science, 2002

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Curves of genus 3 over small finite fields

Jaap Top

Indagationes Mathematicae, 2003

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Hyperelliptic curves of genus three over finite fields of even characteristic

Enric Nart

Finite Fields and Their Applications, 2004

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The arithmetic of certain quartic curves

Nguyen Ngoc Quan (FPL HCM)

Monatshefte für Mathematik, 2012

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Maximal hyperelliptic curves of genus three

Jaap Top

Finite Fields and Their Applications, 2009

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The genus of curves over finite fields with many rational points

fernando torres

Manuscripta Mathematica, 1996

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On quadratic twists of hyperelliptic curves

Mohammad Sadek

Rocky Mountain Journal of Mathematics, 2014

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Non-hyperelliptic modular curves of genus 3

Enrique Gonzalez Jimenez

Journal of Number Theory, 2010

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Hyperelliptic curves in characteristic 2

Hui June Zhu

2000

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Rational Points on Certain Hyperelliptic Curves over Finite Fields

Maciej Ulas

Bulletin of the Polish Academy of Sciences Mathematics, 2007

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Rational Points on Genus 3 Real Hyperelliptic Curves

Basile Guy Richard BOSSOTO

Open Journal of Discrete Mathematics, 2021

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On certain curves of genus three in characteristic two

oscar paz

Bulletin of the Brazilian …, 2008

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Quickly constructing curves of genus 4 with many points

Everett Howe

Frobenius Distributions:, 2016

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Clemens' conjecture for octic and nonic curves

Pieter Nijsse

Indagationes Mathematicae, 1995

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The Hasse Principle for Certain Hyperelliptic Curves and Forms

Nguyen Viet Quan

The Quarterly Journal of Mathematics, 2012

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On postulation of curves in ?4

Philippe Ellia

Mathematische Zeitschrift, 1985

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24 rational curves on K3 surfaces

Sławomir Rams

2019

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Hyperelliptic Curves With Given A-number

Darren Glass

Arxiv preprint math.NT/0401008, 2004

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Curves on Rational Surfaces with Hyperelliptic Hyperplane Sections

Ovidiu Pasarescu

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