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• W4211246362 abstract "A fundamental problem in algebraic geometry is to decompose the solution set of a polynomial system. A numerical irreducible decomposition is a numerical description of this solution set. Standard algorithms to compute this use a sequence of several homotopies. Our new approach uses isosingular theory and a classical result to compute a smooth point on every irreducible component in every dimension with a single homotopy. Key words. Numerical irreducible decomposition, isosingular sets, numerical algebraic geometry, intersection theory." @default.
• W4211246362 created "2022-02-13" @default.
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• W4211246362 date "2021-12-01" @default.
• W4211246362 modified "2023-09-27" @default.
• W4211246362 title "Excess intersections and numerical irreducible decompositions" @default.
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• W4211246362 doi "https://doi.org/10.1109/synasc54541.2021.00021" @default.
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