✦ LIBER ✦

RATIONAL POINTS ON SOME HYPER- AND SUPERELLIPTIC CURVES

✍ Scribed by BREMNER, ANDREW; ULAS, MACIEJ

Book ID: 121085554
Publisher: World Scientific
Year: 2011
Tongue: English
Weight: 280 KB
Volume: 07
Category: Article
ISSN: 1793-0421
DOI: 10.1142/S1793042111003946

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Rational points on elliptic curves

✍ Joseph H. Silverman, John Tate 📂 Library 📅 1992 🏛 Springer-Verlag 🌐 English ⚖ 3 MB

The emphasis of this text is on the number-theoretic aspects of elliptic curves. Using an informal style, the authors attempt to present a mathematically difficult field in a readable manner. The first part is devoted to proving the fundamental theorems of the field (or at least special cases of the

Rational Points on Cubic Curves and Surf

Rational Points on Cubic Curves and Surfaces

✍ L. J. Mordell 📂 Article 📅 1944 🏛 Mathematical Association of America 🌐 English ⚖ 618 KB

Counting rational points on cubic curves

✍ Roger Heath-Brown; Damiano Testa 📂 Article 📅 2010 🏛 SP Science China Press 🌐 English ⚖ 229 KB

Fat Points on Rational Normal Curves

✍ Maria Virginia Catalisano; Philippe Ellia; Alessandro Gimigliano 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 679 KB

In this paper we study 0-dimensional schemes Z made of "fat points" in pn, n > 2, whose support lies on a rational normal curve. We conjecture that the Hilbert function of Z does not depend on the choice of the points and we show this under some numerical hypotheses. We also study the Hilbert Functi

Rational Points on Modular Elliptic Curv

Rational Points on Modular Elliptic Curves

✍ Henri Darmon 📂 Library 📅 2003 🏛 American Mathematical Society 🌐 English ⚖ 810 KB

This book surveys some recent developments in the arithmetic of modular elliptic curves. It places special emphasis on the construction of rational points on elliptic curves, the Birch and Swinnerton-Dyer conjecture, and the crucial role played by modularity in shedding light on these two closely re

Rational curves and points on K3 surface

Rational curves and points on K3 surfaces

✍ Bogomolov, Fedor; Tschinkel, Yuri 📂 Article 📅 2005 🏛 John Hopkins University Press 🌐 English ⚖ 378 KB