The invariants of the binary nonic
Andries E. Brouwer, Mihaela Popoviciu
TL;DR
This paper studies the algebra of invariants for binary forms of degree 9, identifying basic invariants, explicit parameters, and multiple systems of parameters with varying degrees.
Contribution
It explicitly determines the 92 basic invariants and constructs several systems of parameters for the algebra of invariants of binary nonic forms.
Findings
Identified 92 basic invariants for binary nonic forms
Constructed explicit systems of parameters with different degree sets
Proved the existence of four additional systems of parameters
Abstract
We consider the algebra of invariants of binary forms of degree 9 with complex coefficients, find the 92 basic invariants, give an explicit system of parameters and show the existence of four more systems of parameters with different sets of degrees.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology