Multivariate Poincaré series for algebras of $SL_2$-invariants

Details Multivariate Poincaré series for algebras of $SL_2$-invariants Multivariate Poincaré series for algebras of $SL_2$-invariants

2011-08-07

arxiv.org/abs/1108.1555v1

C.R. Acad. Bulg. Sci.2011.V.64.N.6.P.807--814; Ukrainian Math. Journal, 2011.V.63.N.6.P.755--763

Mathematics

Algebraic Geometry

5 pages

Scientific paper

10.1007/s11253-011-0550-8

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 $n$ binary forms of degrees $d_1,d_2,..., d_n.$ Formulas for computation of the multivariate Poincar\'e series $\mathcal{P}(\mathcal{C}_{\mathbi{d}},z_1,z_2,...,z_n,t)$ and $\mathcal{P}(\mathcal{I}_{\mathbi{d}},z_1,z_2,...,z_n)$ are found.

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