论文标题
对Gl-Varieties的权力的共同体
Sym-Noetherianity for powers of GL-varieties
论文作者
论文摘要
最近的许多文献涉及配备了无限对称组或无限通用线性组的无限维代数品种的有限特性。在本文中，我们研究了一个共同的概括，其中两组的产物在无限的维空间上起作用，并且我们表明，这些空间在拓扑上是关于这一行动的彼此noe。
Much recent literature concerns finiteness properties of infinite-dimensional algebraic varieties equipped with an action of the infinite symmetric group, or of the infinite general linear group. In this paper, we study a common generalisation in which the product of both groups acts on infinite-dimensional spaces, and we show that these spaces are topologically Noetherian with respect to this action.
