Characteristic numbers of elliptic space curves
Dung Nguyen
TL;DR
This paper develops recursive formulas to compute characteristic numbers of elliptic curves in any dimension, providing numerical examples and a C++ implementation.
Contribution
It introduces effective recursion methods for calculating characteristic numbers of elliptic space curves in arbitrary dimensions.
Findings
Recursion formulas for elliptic curve characteristic numbers
Numerical examples demonstrating the formulas
A C++ program implementing the recursions
Abstract
We solve the problem of characteristic numbers of elliptic curves in any dimensional projective space The answers are given in the form of effective recursions. Many numerical examples are provided. A C++ program implementing all the recursions is available upon request.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Cryptography and Residue Arithmetic · Polynomial and algebraic computation