论文标题
一般证人的数值代数几何图形
General witness sets for numerical algebraic geometry
论文作者
论文摘要
数值代数几何形状与代数几何形状的相交理论有着密切的关系。我们加深了这种关系，解释了理性或代数等价的同性恋。我们提出了使用交集理论中的思想的思想，为平滑完整的复杂代数变体的亚地区的证人概念。在适当的假设下，一般证人设定了启用数值算法，例如采样和会员资格。这些假设适用于国旗歧管的产品。我们介绍了舒伯特证人的套装，该套装为司司机和旗帜歧管提供了一般见证。
Numerical algebraic geometry has a close relationship to intersection theory from algebraic geometry. We deepen this relationship, explaining how rational or algebraic equivalence gives a homotopy. We present a general notion of witness set for subvarieties of a smooth complete complex algebraic variety using ideas from intersection theory. Under appropriate assumptions, general witness sets enable numerical algorithms such as sampling and membership. These assumptions hold for products of flag manifolds. We introduce Schubert witness sets, which provide general witness sets for Grassmannians and flag manifolds.
