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Session S24 - Symbolic Computation: Theory, Algorithms and Applications

Tuesday, July 20, 18:30 ~ 18:55 UTC-3

A deflation for bivariate Groebner bases

Eric Schost

University of Waterloo, Canada   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Conca and Valla gave an explicit parametrization of the so-called Groebner cell of all bivariate ideals sharing the same lexicographic leading term ideal. We show how to use this description to design a Newton iteration for bivariate ideals that works in the presence of multiplicities.

Joint work with Catherine St-Pierre (University of Waterloo).

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