Solving decomposable sparse systems

  • Thomas Yahl (Texas A&M)
G3 10 (Lecture hall)


Solutions to sparse polynomial systems can be viewed as fibres of a branched cover determined by the support of the equations. A system is decomposable if this branched cover factors as a composition of nontrivial branched covers on an open set. This leads to a method of solving sparse polynomial systems by completely factoring the branched cover and iteratively solving simpler polynomial systems as fibres of these factors.

Mirke Olschewski

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