The Dubrovin threefold of an algebraic curve

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.

This is joint work with Daniele Agostini and Bernd Sturmfels.

algebraic geometrynumber theory

Audience: researchers in the topic

( paper )

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SFU NT-AG seminar

Series comments: Description: Research/departmental seminar

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