论文标题
在投影品品种的陶土基因座上
On the Terracini locus of projective varieties
论文作者
论文摘要
We introduce and study properties of the Terracini locus of projective varieties X, which is the locus of finite subsets S of X such that 2S fails to impose independent conditions to a linear system L. Terracini loci are relevant in the study of interpolation problems over double points in special position, but they also enter naturally in the study of special loci contained in secant varieties to projective varieties.我们发现一些标准排除了一套S属于Terracini基因座。此外，在X是Veronese品种的情况下，我们绑定了Terracini基因座的维度，并确定示例的示例，其中该基因座在X的对称产物中具有编成编成1的尺寸。
We introduce and study properties of the Terracini locus of projective varieties X, which is the locus of finite subsets S of X such that 2S fails to impose independent conditions to a linear system L. Terracini loci are relevant in the study of interpolation problems over double points in special position, but they also enter naturally in the study of special loci contained in secant varieties to projective varieties. We find some criteria which exclude that a set S belongs to the Terracini locus. Furthermore, in the case where X is a Veronese variety, we bound the dimension of the Terracini locus and we determine examples in which the locus has codimension 1 in the symmetric product of X.
