ACI Journal Articles

Title

Absolute Reduction of Binary Forms

Document Type

Article

USMA Research Unit Affiliation

Army Cyber Institute

Publication Date

1-29-2019

Abstract

Reduction theory of binary forms has been studied by Julia in [23] and more recently by several other authors. In this paper we introduce the absolute reduction and give an algorithm to compute the absolutely reduced form of any binary form. Such method can be applied to determine the minimal Weierstrass equation of a superelliptic curve over an integral ring.

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