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arxiv: 1509.08749 · v1 · pith:UIKDWYTLnew · submitted 2015-09-29 · 🧮 math.AG

Covariant algebra of the binary nonic and the binary decimic

classification 🧮 math.AG
keywords binaryalgebracovariantdegreegeneratorsrespalgorithmcomputations
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We give a minimal system of 476 generators (resp. 510 generators) for the algebra of SL(2,C)-covariant polynomials on binary forms of degree 9 (resp. degree 10). These results were only known as conjectures so far. The computations rely on Gordan's algorithm, and some new improvements.

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