EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 21 – 40 of 419

Affine plane curves with one place at infinity

Masakazu Suzuki (1999)

Annales de l'institut Fourier

In this paper we give a new algebro-geometric proof to the semi-group theorem due to Abhyankar-Moh for the affine plane curves with one place at infinity and its inverse theorem due to Sathaye-Stenerson. The relations between various invariants of these curves are also explained geometrically. Our new proof gives an algorithm to classify the affine plane curves with one place at infinity with given genus by computer.

Algebraic points of low degree on the Fermat quintic

Matthew Klassen, Pavlos Tzermias (1997)

Acta Arithmetica

Algorithm for the characteristics of the triple ...-functions.

A. Cayley (1879)

Journal für die reine und angewandte Mathematik

An extremal property of Rokhlin' s inequality for real algebraic curves.

Stephen P. Paris (1996)

Mathematische Annalen

An Integral Criterion for the Equivalence of Plane Curves.

Alicia Dickenstein, Carmen Sessa (1982)

Manuscripta mathematica

An iterative construction for ordinary and very special hyperelliptic curves

Francis J. Sullivan (1983)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Si costruiscono famiglie di curve iperellittiche col $p$ —rango della varietà jacobiana uguale a zero. La costruzione sfrutta le proprietà elementari dell’operatore di Cartier e delle estensioni $p$ -cicliche dei corpi con la caratteristica $p$ maggiore di zero.

An unexpected appearance of Steiner's hypocycloid.

Jan van de Craats (1986)

Aequationes mathematicae

Approximations diophantiennes $p$ -adiques sur les courbes elliptiques admettant une multiplication complexe

Daniel Bertrand (1978)

Compositio Mathematica

Are rational curves determined by tangent vectors?

Stefan Kebekus, Sándor J. Kovács (2004)

Annales de l’institut Fourier

Let $X$ be a projective variety which is covered by rational curves, for instance a Fano manifold over the complex numbers. In this paper, we give sufficient conditions which guarantee that every tangent vector at a general point of $X$ is contained in at most one rational curve of minimal degree. As an immediate application, we obtain irreducibility criteria for the space of minimal rational curves.

Arithmetic of the modular function $j_{1, 4}$

Chang Heon Kim, Ja Kyung Koo (1998)

Acta Arithmetica

We find a generator $j_{1, 4}$ of the function field on the modular curve X₁(4) by means of classical theta functions θ₂ and θ₃, and estimate the normalized generator $N (j_{1, 4})$ which becomes the Thompson series of type 4C. With these modular functions we investigate some number theoretic properties.