On quadratic curves over finite fields (original) (raw)

On the number of invariant conics for the polynomial vector fields defined on quadrics

Yudy Bolaños

Bulletin des Sciences Mathématiques, 2013

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A Note on a Specific Pencil of Conics in the Galois Fields of Order 2^ n

Metod Saniga

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Sextactic points on the Fermat cubic curve and arrangements of conics

Tomasz Szemberg

arXiv (Cornell University), 2022

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The Number Of Rational Points On Elliptic Curves And Circles Over Finite Fields

OSMAN BİZİM

2008

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On algebraic curves over a finite field with many rational points

Gábor Korchmáros

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2000

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Elliptic Curves, Conics and Cubic Congruences Associated with Indefinite Binary Quadratic Forms

OSMAN BİZİM

2008

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Number of Points on the Projective Curves ... Defined over Finite Fields, l an Odd Prime

S A Katre

1999

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Diophantine Geometry on Curves Over Function Fields

Carlo Gasbarri

2020

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On the Sylvester-Gallai theorem for conics

Justyna Szpond, Tomasz Szemberg

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Algebraic curves over finite fields

Muhammad Afzal Soomro

1991

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A Poncelet Criterion for special pairs of conics in PG(2,p^m)

Norbert Hungerbühler

International Electronic Journal of Geometry, 2020

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On the number of simultaneous solutions of certain diagonal equations over finite fields

Melina Privitelli

arXiv (Cornell University), 2020

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Algebraic approach to the completeness problem for (k,n)(k,n)(k,n)-arcs in planes over finite fields

Gábor Korchmáros

arXiv (Cornell University), 2023

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Generalized pencils of conics derived from cubics

Norbert Hungerbühler

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2020

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A Poncelet Criterion for special pairs of conics in PG(2,p)PG(2,p)PG(2,p)

Norbert Hungerbühler

arXiv (Cornell University), 2014

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Sublines of Prime Order Contained in the Set of Internal Points of a Conic

Michel Lavrauw

Designs, Codes and Cryptography, 2006

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On representing coordinates of points on elliptic curves by quadratic forms

Maciej Ulas

Acta Arithmetica

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New methods for bounding the number of points on curves over finite fields

Everett Howe

EMS Series of Congress Reports

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Fermat curves over finite fields and cyclic subsets in high-dimensional projective spaces

Gábor Korchmáros

1999

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The circle equation over finite fields

Vagn Lundsgaard Hansen

Quaestiones Mathematicae, 2017

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Polynomials in finite geometry

Peter Sziklai

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On the Embedding of an Arc into a Conic in a Finite Plane

Gábor Korchmáros

Finite Fields and Their Applications, 1996

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Some remarks on the number of points on elliptic curves over finite prime field

James Mc Laughlin

Bulletin of the Australian Mathematical Society, 2007

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Bounds for the number of points on curves over finite fields

Herivelto Borges

arXiv (Cornell University), 2016

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Algebraic points of low degree on the Fermat quintic

Matthew Klassen

Acta Arithmetica

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The Offset to an Algebraic Curve and an Application to Conics

Francois Anton

Computational Science and Its Applications, 2005

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Pencils of quadrics and the arithmetic of hyperelliptic curves

Benedict Gross, Xiaoheng Wang

2013

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A 43 configuration of lines and conics in P5

Tomasz Szemberg

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Study of the cyclicity of some degenerate graphics inside quadratic systems

F. Dumortier

Communications on Pure and Applied Analysis, 2009

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On Rational Geometry of Conic Sections

Graziano Gentili

Journal of Symbolic Computation, 2000

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The Number Of Rational Points On Elliptic Curves Y2 = X3 + B2 Over Finite Fields

HACER ÖZDEN

2007

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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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A G ] 2 N ov 2 01 5 Points on singular Frobenius nonclassical curves

Herivelto Borges

2018

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On the distribution of the number of points on algebraic curves in extensions of finite fields

Omran Ahmadi

Mathematical Research Letters, 2010

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The number of points on an algebraic curve over a finite field

Gábor Korchmáros

Surveys in Combinatorics 2007

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