ABSOLUTE REDUCTION OF BINARY FORMS

Lubjana Beshaj

doi:10.51286/albjm/1547969859

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Home > Journals > Albanian J. Math. > Volume 12 > Issue 1 > Article

2018 ABSOLUTE REDUCTION OF BINARY FORMS

Lubjana Beshaj

Author Affiliations +

Lubjana Beshaj¹
¹Army Cyber Institute West Point Military Academy West Point, NY, 10996 Lubjana.Beshaj@westpoint.edu

Albanian J. Math. 12(1): 36-77 (2018). DOI: 10.51286/albjm/1547969859

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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.