Multiprojective witness sets and a trace test
Multiprojective witness sets and a trace test
复制标题
多投影见证集和跟踪测试
DOI：
10.1515/advgeom-2020-0006
复制
发表时间：
2015
影响因子：
0.5
通讯作者：
J. Rodriguez
中科院分区：
文献类型：
--
作者：
J. Hauenstein;J. Rodriguez
摘要 在数值代数几何领域，多项式方程组的正维解集是用见证集来描述的。在本文中，我们定义了多射影见证集，它编码不可约多射影簇的多度信息。我们的主要结果将再生求解过程、迹测试和数值不可约分解推广到多射影情况。其中包含示例来演示这种新方法。
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 generalise the regeneration solving procedure, a trace test, and numerical irreducible decomposition to the multiprojective case. Examples are included to demonstrate this new approach.