Invariant of a binary form: Difference between revisions

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Covariants of a binary nonic: all covariants known
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===Covariants of a binary decimic===
 
Sylvester stated that the ring of invariants of binary decics is generated by 104 invariants the ring of covariants by 475 covariants; his list is to be correct for degrees up to 16 but wrong for higher degrees. {{harvtxt|Brouwer|Popoviciu|2010b}} showed that the algebra of invariants of a degree 10 form is generated by 106 invariants. Hagedorn and Brouwer<ref>[http://www.win.tue.nl/~aeb/math/invar.html Brouwer, Invariants and covariants of quantics]</ref> computed 510 covariants, and Lercier & Olive showed that this list is complete.
 
===Covariants of a binary undecimic===