论文标题
割裂品品种的可识别性和单数轨迹
Identifiability and singular locus of secant varieties to Grassmannians
论文作者
论文摘要
Secant品种是张量分解中的主要主角之一，其研究涉及纯和应用数学领域。司芒人是偏斜张量的基础。尽管它们在文献中无处不在，但尚未完全理解其割线的几何形状。在这项工作中，我们使用其结构以SL（v）的变化来确定割线gr（k，v）的距离线的奇异轨迹。我们解决了距离品种中点的可识别性和切向识别性的问题：因此，我们还确定了第二个磨牙的塔拉西尼基因座。
Secant varieties are among the main protagonists in tensor decomposition, whose study involves both pure and applied mathematical areas. Grassmannians are the building blocks for skewsymmetric tensors. Although they are ubiquitous in the literature, the geometry of their secant varieties is not completely understood. In this work we determine the singular locus of the secant variety of lines to a Grassmannian Gr(k,V) using its structure as SL(V)-variety. We solve the problems of identifiability and tangential-identifiability of points in the secant variety: as a consequence, we also determine the second Terracini locus to a Grassmannian.
