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edited Apr 13 at 16:31

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Partly more detailed lower limitsbounds for essential dimensions of polynomials are given in Theorem 1.4. of Reichstein, Z.; Youssin, B.: Essential dimensions of algebraic groups and a resolution theorem for G-varieties. Canad. J. Math. 52 (2000) (5) 1018–1056.

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created Apr 13 at 10:48

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Partly more detailed lower limits for essential dimensions of polynomials are given in Theorem 1.4. of Reichstein, Z.; Youssin, B.: Essential dimensions of algebraic groups and a resolution theorem for G-varieties. Canad. J. Math. 52 (2000) (5) 1018–1056.