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Perron, O · DOI 10.1007/bf01487380

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math.AC 1

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2026 1

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Small Resultant Systems via Linear Combinations

math.AC · 2026-07-31 · accept · novelty 8.0

There exist resultant systems with binomial(d+n-1, n-1)*s - n^2 + 1 polynomials, each a resultant of n linear combinations; explicit punctured systems of size poly(s,d) for fixed n also exist.

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  • Small Resultant Systems via Linear Combinations math.AC · 2026-07-31 · accept · none · ref 12

    There exist resultant systems with binomial(d+n-1, n-1)*s - n^2 + 1 polynomials, each a resultant of n linear combinations; explicit punctured systems of size poly(s,d) for fixed n also exist.