论文标题
在Veronese表面上的完整交叉点
Complete intersections on Veronese surfaces
论文作者
论文摘要
在本文中,我们描述了Veronese表面上的所有可能减少的完整点集。我们为任何维度的完整交叉点亚变化的一般情况做出了猜想,在二次veronese三倍的情况下,我们证明了这一点。我们的主要工具是对Veronese表面降低的所有可能希尔伯特功能的有效表征。
In this paper we describe all possible reduced complete intersection sets of points on Veronese surfaces. We formulate a conjecture for the general case of complete intersection subvarieties of any dimension and we prove it in the case of the quadratic Veronese threefold. Our main tool is an effective characterization of all possible Hilbert functions of reduced subvarieties of Veronese surfaces.