多投射见证集与迹检验
Multiprojective witness sets and a trace test
摘要：
在数值代数几何领域，多项式方程组的正维解集可用证集来描述。在本文中，我们定义了多重投射证明集编码的多重度信息的一个不可约的多重投射簇。我们的主要结果推广的再生解决方案，跟踪测试，和数值不可约分解的多投射的情况下。包括例子来证明这种新的方法。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
