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• W2022779209 abstract "We use residue currents on toric varieties to obtain bounds on the degrees of solutions to polynomial ideal membership problems. Our bounds depend on (the volume of) the Newton polytope of the polynomial system and are therefore well adjusted to sparse polynomial systems. We present sparse versions of Max Nother’s AF + BG Theorem, Macaulay’s Theorem, and Kollar’s Effective Nullstellensatz, as well as recent results by Hickel and Andersson–Gotmark." @default.
• W2022779209 created "2016-06-24" @default.
• W2022779209 creator A5023427610 @default.
• W2022779209 date "2010-09-10" @default.
• W2022779209 modified "2023-10-14" @default.
• W2022779209 title "Sparse effective membership problems via residue currents" @default.
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• W2022779209 doi "https://doi.org/10.1007/s00208-010-0575-6" @default.
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