Description: Advanced Topics in the Arithmetic of Elliptic Curves by Joseph H. Silverman Estimated delivery 3-12 business days Format Paperback Condition Brand New Description In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." Publisher Description This book continues the treatment of the arithmetic theory of elliptic curves begun in the first volume. The book begins with the theory of elliptic and modular functions for the full modular group r(1), including a discussion of Hekcke operators and the L-series associated to cusp forms. This is followed by a detailed study of elliptic curves with complex multiplication, their associated Grossencharacters and L-series, and applications to the construction of abelian extensions of quadratic imaginary fields. Next comes a treatment of elliptic curves over function fields and elliptic surfaces, including specialization theorems for heights and sections. This material serves as a prelude to the theory of minimal models and Neron models of elliptic curves, with a discussion of special fibers, conductors, and Oggs formula. Next comes a brief description of q-models for elliptic curves over C and R, followed by Tates theory of q-models for elliptic curves with non-integral j-invariant over p-adic fields. The book concludes with the construction of canonical local height functions on elliptic curves, including explicit formulas for both archimedean and non-archimedean fields. Details ISBN 0387943285 ISBN-13 9780387943282 Title Advanced Topics in the Arithmetic of Elliptic Curves Author Joseph H. Silverman Format Paperback Year 1994 Pages 528 Publisher Springer-Verlag New York Inc. GE_Item_ID:137607863; About Us Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1,000,000 in stock items - you're bound to find what you want, at a price you'll love! Shipping & Delivery Times Shipping is FREE to any address in USA. Please view eBay estimated delivery times at the top of the listing. Deliveries are made by either USPS or Courier. We are unable to deliver faster than stated. International deliveries will take 1-6 weeks. NOTE: We are unable to offer combined shipping for multiple items purchased. This is because our items are shipped from different locations. Returns If you wish to return an item, please consult our Returns Policy as below: Please contact Customer Services and request "Return Authorisation" before you send your item back to us. Unauthorised returns will not be accepted. Returns must be postmarked within 4 business days of authorisation and must be in resellable condition. Returns are shipped at the customer's risk. We cannot take responsibility for items which are lost or damaged in transit. For purchases where a shipping charge was paid, there will be no refund of the original shipping charge. Additional Questions If you have any questions please feel free to Contact Us. Categories Baby Books Electronics Fashion Games Health & Beauty Home, Garden & Pets Movies Music Sports & Outdoors Toys
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ISBN-13: 9780387943282
Book Title: Advanced Topics in the Arithmetic of Elliptic Curves
Number of Pages: Xiii, 528 Pages
Publication Name: Advanced Topics in the Arithmetic of Elliptic Curves
Language: English
Publisher: Springer New York
Publication Year: 1994
Item Height: 0.4 in
Subject: Number Theory, Geometry / Algebraic, Arithmetic
Type: Textbook
Item Weight: 59.3 Oz
Item Length: 9.3 in
Subject Area: Mathematics
Author: Joseph H. Silverman
Series: Graduate Texts in Mathematics Ser.
Item Width: 6.1 in
Format: Trade Paperback