The genus of curves over finite fields with many rational points.
Fernando Torres, Rainer Fuhrmann (1996)
Manuscripta mathematica
Similarity:
Displaying similar documents to “On the height constant for curves of genus two, II”
The genus of curves over finite fields with many rational points.
Canonical local heights and multiplication formulas for the Jacobians of curves of genus 2
Yukihiro Uchida (2011)
Acta Arithmetica
Similarity:
Descent via (3,3)-isogeny on Jacobians of genus 2 curves
Nils Bruin, E. Victor Flynn, Damiano Testa (2014)
Acta Arithmetica
Similarity:
We give a parametrization of curves C of genus 2 with a maximal isotropic (ℤ/3)² in J[3], where J is the Jacobian variety of C, and develop the theory required to perform descent via (3,3)-isogeny. We apply this to several examples, where it is shown that non-reducible Jacobians have non-trivial 3-part of the Tate-Shafarevich group.
Certain maximal curves and Cartier operators
Arnaldo Garcia, Saeed Tafazolian (2008)
Acta Arithmetica
Similarity:
The Genus of Curves in P4 verifying certain Flag conditions.
L. Chiantini, C. Ciliberto (1995)
Manuscripta mathematica
Similarity:
On the existence of supersingular curves of given genus.
Gerard van der Geer, Marcel van der Vlugt (1995)
Journal für die reine und angewandte Mathematik
Similarity:
A Diophantine problem on algebraic curves over function fields of positive characteristic
J.F. Voloch (1991)
Bulletin de la Société Mathématique de France
Similarity:
The Genus of Space Curves.
Joe Harris (1980)
Mathematische Annalen
Similarity:
Decomposing Jacobians of curves with extra automorphisms
Jennifer Paulhus (2008)
Acta Arithmetica
Similarity:
Yet more projective curves over .
Lomont, Chris (2002)
Experimental Mathematics
Similarity:
The Complete Classification of Fibres in Pencils of Curves of Genus Two.
Kenji Ueno, Y. Namikawa (1973)
Manuscripta mathematica
Similarity:
Points on Shimura curves over fields of even degree.
S. Kamienny (1990)
Mathematische Annalen
Similarity:
The Genus of Curves in P4 and P5.
Jürgen Rathmann (1989)
Mathematische Zeitschrift
Similarity:
Form Factors, KdV and Deformed Hyperelliptic Curves
O. Babelon, D. Bernard, F. A. Smirnov (1997)
Recherche Coopérative sur Programme n°25
Similarity:
Coverings of Singular curves over Finite Fields.
Yves Aubry, Marc Perret (1995)
Manuscripta mathematica
Similarity:
Trivial points on towers of curves
Xavier Xarles (2013)
Journal de Théorie des Nombres de Bordeaux
Similarity:
In order to study the behavior of the points in a tower of curves, we introduce and study trivial points on towers of curves, and we discuss their finiteness over number fields. We relate the problem of proving that the only rational points are the trivial ones at some level of the tower, to the unboundeness of the gonality of the curves in the tower, which we show under some hypothesis.