Teoria de invariantes de formas binárias

Abstract

In this work, we studied article [6], that answers the following questions:how are all covariants of binary forms? What are and how to find the canonicalforms of the binary forms of degree n? Is there a finite generating set for theconvariants of binary forms of degree n? The first question will be answered bythe First Fundamental Theorem. The second question will be answered using thetechniques of apolarity. And for application, we will show the results for binaryforms of low degree. Finally, the third question will be answered by the FinitenessTheorem.