Abstract
Starting from a minimal system of the ideal of centro-affine covariants of a polynomial differential system, we develop an algorithmic method to reduce the polynomial decomposition of a given centro-affine covariant of this system to a linear decomposition by constructing a matrix whose size depends on the type of the given covariant. This method avoids the Aronhold symbolic calculation and offers new means to calculate syzygies and can be used to describe the algebra of the centro-affine covariants. We also give many examples in the case where the system is a planar polynomial quadratic differential system.
Citation
Dahira Dali. Sui Sun Cheng. "DECOMPOSITION OF CENTRO-AFFINE COVARIANTS OF POLYNOMIAL DIFFERENTIAL SYSTEMS." Taiwanese J. Math. 14 (5) 1903 - 1924, 2010. https://doi.org/10.11650/twjm/1500406023
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