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BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

On minimal generators of the ideal of moving curves following a rational plane parametrization D'Andrea, Carlos

Description

Recently, J. Madsen (Equations of Rees algebras of ideals in two variables) has obtained a description of the bidegrees of a partial subset of minimal generators of the ideal of moving curves following a rational plane parametrization. In a joint project with Teresa Cortadellas and David Cox, we are working out the explicit form of these generators as well as an explanation of their existence based on a factorization of the input parametrization via a lifting of the curve to a larger projective space of dimension \(\mu\).

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