论文标题

值得很多的渐近张量排名

Countably many asymptotic tensor ranks

论文作者

Blatter, Andreas, Draisma, Jan, Rupniewski, Filip

论文摘要

关于复杂张量的渐近子额额度的最新工作,问题是出现的问题是否可以计算为某些复杂张量的非负实数的数量。在这个简短的说法中,我们以肯定的方式解决了这个问题,因为所有代数的张量不变性在于它们在复数的野外自动形态下是不变的。

In connection with recent work on gaps in the asymptotic subranks of complex tensors the question arose whether the number of nonnegative real numbers that arise as the asymptotic subrank of some complex tensor is countable. In this short note we settle this question in the affirmative, for all tensor invariants that are algebraic in the sense that they are invariant under field automorphisms of the complex numbers.

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