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- W3025708045 abstract "The solutions to the Kadomtsev-Petviashvili equation that arise from a fixed complex algebraic curve are parametrized by a threefold in a weighted projective space, which we name after Boris Dubrovin. Current methods from nonlinear algebra are applied to study parametrizations and defining ideals of Dubrovin threefolds. We highlight the dichotomy between transcendental representations and exact algebraic computations. Our main result on the algebraic side is a toric degeneration of the Dubrovin threefold into the product of the underlying canonical curve and a weighted projective plane." @default.
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- W3025708045 date "2021-06-01" @default.
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- W3025708045 title "The Dubrovin threefold of an algebraic curve" @default.
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- W3025708045 doi "https://doi.org/10.1088/1361-6544/abf08c" @default.
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