论文标题
G-Stable对称张量和原木规范阈值的等级
G-stable rank of symmetric tensors and log canonical threshold
论文作者
论文摘要
Shitov最近对Comon的猜想进行了反例，即对称的对称张量和对称张量的张量排名相同。在本文中，我们表明，Comon对Derksen引入的G-Stable等级的猜想的类似物是真实的：对称的对称的G-Stable等级和对称张量的G型等级是相同的。我们还表明，奇异性的对数典型阈值受定义理想的G稳定等级的界定。
Shitov recently gave a counterexample to Comon's conjecture that the symmetric tensor rank and tensor rank of a symmetric tensor are the same. In this paper we show that an analog of Comon's conjecture for the G-stable rank introduced by Derksen is true: the symmetric G-stable rank and G-stable rank of a symmetric tensor are the same. We also show that the log-canonical threshold of a singularity is bounded by the G-stable rank of the defining ideal.
