Multiprojective witness sets and a trace test
Algebraic Geometry
2017-04-21 v3
Abstract
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.
Cite
@article{arxiv.1507.07069,
title = {Multiprojective witness sets and a trace test},
author = {Jonathan D. Hauenstein and Jose Israel Rodriguez},
journal= {arXiv preprint arXiv:1507.07069},
year = {2017}
}