Explicit generators for polynomial SL2-covariants of binary forms of degree m>10

Determine explicit minimal generating sets for the algebra of polynomial SL2-covariants of binary forms of degree m greater than 10, extending the known explicit descriptions available for lower degrees (including degrees 9 and 10).

Background

The paper discusses computing rational invariants and covariants for binary forms under the SL2 and GL2 actions, noting practical limitations as the degree increases due to Gröbner basis complexity. For degree 9 and 10 forms, explicit minimal generating sets of polynomial SL2-covariants have been computed (476 and 510 generators, respectively), with references for lower degrees available.

Beyond degree 10, the author indicates that explicit results are not currently available, highlighting a gap in the explicit characterization of polynomial covariant algebras for higher-degree binary forms.