13 citations · 59 across the 37 of their papers we have counts for
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Multivariate Poincaré series for algebras of -invariants
Leonid Bedratyuk
Let $\mathcal{C}_{\mathbi{d}},$ $\mathcal{I}_{\mathbi{d}},$ $\mathbi{d}{=}(d_1,d_2,..., d_n)$ be the algebras of join covariants and joint invariants of the binary forms of deg…
A note about invariants of algebraic curves
Leonid Bedratyuk
For affine algebraic plane curves we reduce a calculation of its invariants to calculation of the intersection of kernels of some derivations.
Hilbert polynomials of the algebras of -invariants
Leonid Bedratyuk
We offer a Maple-procedure for computing of the Hilbert polynomials of the algebras of -invariants
Minimal free resolutions and Betti diagrams of the algebras of -invariants
Leonid Bedratyuk
For the algebras of -invariants of small homological dimension theirs minimal free graded resolutions and graded Betti diagrams calculated.
The MAPLE package for -invariants and kernel of Weitzenböck derivations
Leonid Bedratyuk
We offer a Maple package SL\_2\_Inv\_Ker for calculating of minimal generating sets for the algebras of joint invariants/semi-invariants of binary forms and for calculations of the…