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arXiv · 2212.05790

Sym-Noetherianity for powers of GL-varieties

Christopher H. Chiu·Alessandro Danelon·Jan Draisma·Rob H. Eggermont·Azhar Farooq
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Abstract

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.

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Christopher H. Chiu, Alessandro Danelon, Jan Draisma, Rob H. Eggermont, Azhar Farooq. 2022-12-12. Sym-Noetherianity for powers of GL-varieties. https://doi.org/10.2140/ant.2025.19.2091

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