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• W2925934380 abstract "Let F(x,y)∈C[x,y] be a polynomial of degree d and let G(x,y)∈C[x,y] be a polynomial with t monomials. We want to estimate the maximal multiplicity of a solution of the system F(x,y)=G(x,y)=0. Our main result is that the multiplicity of any isolated solution (a,b)∈C2 with nonzero coordinates is no greater than 52d2t2. We ask whether this intersection multiplicity can be polynomially bounded in the number of monomials of F and G, and we briefly review some connections between sparse polynomials and algebraic complexity theory." @default.
• W2925934380 created "2019-04-11" @default.
• W2925934380 creator A5048679959 @default.
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• W2925934380 date "2020-07-01" @default.
• W2925934380 modified "2023-09-27" @default.
• W2925934380 title "Intersection multiplicity of a sparse curve and a low-degree curve" @default.
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• W2925934380 doi "https://doi.org/10.1016/j.jpaa.2019.106279" @default.
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