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- W2962752012 abstract "We describe an algorithm which finds binomials in a given ideal $$Isubset mathbb {Q}[x_1,dots ,x_n]$$ and in particular decides whether binomials exist in I at all. Binomials in polynomial ideals can be well hidden. For example, the lowest degree of a binomial cannot be bounded as a function of the number of indeterminates, the degree of the generators, or the Castelnuovo–Mumford regularity. We approach the detection problem by reduction to the Artinian case using tropical geometry. The Artinian case is solved with algorithms from computational number theory." @default.
- W2962752012 created "2019-07-30" @default.
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- W2962752012 date "2017-09-01" @default.
- W2962752012 modified "2023-09-27" @default.
- W2962752012 title "Finding binomials in polynomial ideals" @default.
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- W2962752012 doi "https://doi.org/10.1186/s40687-017-0106-0" @default.
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