Call Us 080-41656200 (Mon-Sat: 10AM-8PM)
Free Shipping above Rs. 1499
Cash On Delivery*

Models of Genus One Curves

 

Marketed By :  LAP LAMBERT Academic Publishing   Sold By :  Kamal Books International  
Delivery in :  10-12 Business Days

 

Check Your Delivery Options

 
Rs. 4,396

Availability: In stock

 
  • Product Description
 

Let E be an elliptic curve defined over a number field K. An element of the n-Selmer group of E can be represented as a geometric object. Namely, as an everywhere locally soluble genus one curve defined by an equation of degree n. This equation is a generalised binary quartic when n=2, a ternary cubic when n=3, and two quadrics in four variables when n=4. By minimising these equations we mean making their invariants as small as possible. Unfortunately, the minimal (with the smallest invariants) equations of degree n are not unique in general. We exploit the theory of minimal regular models to find an alternative definition of minimality. Then we use this new definition to count the minimal equations of degree n.

Product Specifications
SKU :COC43021
AuthorMohammad Sadek
LanguageEnglish
BindingPaperback
Number of Pages124
Publishing Year2010-09-13T00:00:00.000
ISBN978-3843353847
Edition1 st
Book TypeGeometry
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-01-08 00:00:00