John T. Tate 1860 Accesses 177 Citations 3 Altmetric Explore all metrics This is a preview of subscription content, log in via an institution to check access. References Artin, M., Swinnerton-Dyer, H.P.F.: The Shafarevitch-Tate conjecture for pencils of elliptic curves onK3 surfaces...
The arithmetic of elliptic curves The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats t... John,T.,Tate - 《Inventiones Mathematicae》 被引量: 5833发表: 1974年 THE ARITHMETIC OF ELLIPTIC...
Elliptic curvesTate–Shafarevich groupHomotopy limit problemMotivic cohomologyEtale cohomologyAbstract In this note, I study a comparison map between a motivic and 茅tale cohomology group of an elliptic curve overdoi:10.1016/J.JNT.2017.08.008Igor KrizAcademic PressJournal of Number Theory...
The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry....
Elliptic curvesTate-Shafarevich groupHomotopy limit problemMotivic cohomologyEtale cohomologyIn this note, I study a comparison map between a motivic and \\'{e}tale cohomology group of an elliptic curve over $\\mathbb{Q}$ just outside the range of Voevodsky's isomorphism theorem. I show that...
These include Lenstra's factorization algorithm, Schoof's point counting algorithm, Miller's algorithm to compute the Tate and Weil pairings, and a description of aspects of elliptic curve cryptography. There is also a new section on Szpiro's conjecture and ABC, as well as expanded and updated...
Advanced Topics in the Arithmetic of Elliptic Curves Towards an enumerative geometry of the moduli space of curves (1983) by David Mumford Gross - Arithmetic on Elliptic Curves with Complex Multiplication (with an appendix by B. Mazur)(Springer LNM 776)(100s) Tate,The Arithmetic of Elliptic Cur...
Tate, J - The Arithmetic of Elliptic Curves (Inventiones.math. 23, 179-206,1974) Lectures on the Differential Geometry of Curves and Surfaces Lectures on the Differential Geometry of Curves and Surfaces.pdf.pdf 费马大定理证明的主要论文modular elliptic curves and__ fermats last theorem 10.1.1.19...
Design of bubble column reactors 7 p. Wet air oxidation (WAO) for the treatment of industrial wastewater and domestic sludge. Design of bu 7 p. Wet air oxidation (WAO) for the treatment of industrial wastewater and domestic sludge. Design of bu 7 p. Wet air oxidation (WAO) for...
The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief...