论文标题
饱和理想的限制
Limits of saturated ideals
论文作者
论文摘要
我们调查了给定同质理想是否是饱和的限制的问题。我们为此提供了共同的必要标准，以将其持有并将其应用于一系列示例。我们的动机来自边界极性理论和各种权力之和，上面的问题与证明张量的边界等级的新下限紧密相关。
We investigate the question whether a given homogeneous ideal is a limit of saturated ones. We provide cohomological necessary criteria for this to hold and apply them to a range of examples. Our motivation comes from the theory of border apolarity and varieties of sums of powers, where the question above is tightly connected to proving new lower bounds for border ranks of tensors.
