By Joseph H. Silverman

Within the creation to the 1st quantity of The mathematics of Elliptic Curves (Springer-Verlag, 1986), I saw that "the conception of elliptic curves is wealthy, assorted, and amazingly vast," and thus, "many vital issues needed to be omitted." I incorporated a quick advent to 10 extra issues as an appendix to the 1st quantity, with the tacit knowing that at last there may be a moment quantity containing the main points. you're now protecting that moment quantity. it became out that even these ten issues wouldn't healthy regrettably, right into a unmarried publication, so i used to be compelled to make a few offerings. the next fabric is roofed during this booklet: I. Elliptic and modular capabilities for the complete modular team. II. Elliptic curves with complicated multiplication. III. Elliptic surfaces and specialization theorems. IV. Neron versions, Kodaira-Neron type of unique fibers, Tate's set of rules, and Ogg's conductor-discriminant formulation. V. Tate's concept of q-curves over p-adic fields. VI. Neron's thought of canonical neighborhood peak services.

Show description

Read or Download Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics) PDF

Similar Algebraic Geometry books

Analytic K-Homology (Oxford Mathematical Monographs)

This paintings attracts jointly principles from algebraic topology, useful research and geometry. it's a software - a method of conveying info between those 3 topics - and it's been used with good fortune to find theorems throughout a large span of arithmetic. the aim of this booklet is to acquaint the reader with the fundamental principles of analytic K-homology and advance a few of its functions.

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics)

First textbook-level account of easy examples and strategies during this region. compatible for self-study through a reader who is aware a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yank Mathematical Society, in addition to a profitable Springer writer.

Hilbert

"It provides a delicate portrait of an exceptional man or woman. It describes appropriately and intelligibly on a nontechnical point the realm of mathematical rules within which Hilbert created his masterpieces. And it illuminates the history of German social background opposed to which the drama of Hilberts existence used to be performed.

Introduction to Analysis of the Infinite: Book I

From the preface of the writer: ". .. i've got divided this paintings into books; within the first of those i've got constrained myself to these issues touching on natural research. within the moment ebook i've got defined these factor which has to be recognized from geometry, in view that research is regularly constructed in this kind of manner that its program to geometry is proven.

Additional resources for Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)

Show sample text content

Rated 4.62 of 5 – based on 40 votes