Multiprojective witness sets and a trace test

Dataset

Description

In the field of numerical algebraic geometry, positive-dimensional solution sets of systems of polynomial equations are described by witness sets. In this paper, we define multiprojective witness sets which encode the multidegree information of an irreducible multiprojective variety. Our main results generalize the regeneration solving procedure, a trace test, and numerical irreducible decomposition to the multiprojective case. Examples are included to demonstrate this new approach.

Attributes

Attribute NameValues
Creator
  • Jonathan Hauenstein

  • Jose Rodriguez

Publisher
  • Jonathan Hauenstein

Record Visibility and Access Public
Content License
  • All rights reserved

Digital Object Identifier

doi:10.7274/r0-exr3-fr25

This DOI is the best way to cite this dataset.


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