Sym-Noetherianity for powers of GL-varieties

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

doi:10.48550/arXiv.2212.05790

Sym-Noetherianity for powers of GL-varieties

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

Research output: Contribution to journal › Article › Academic

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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.

Original language	English
Article number	2212.05790
Number of pages	19
Journal	arXiv
Volume	2022
DOIs	https://doi.org/10.48550/arXiv.2212.05790
Publication status	Published - 12 Dec 2022

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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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AU - Farooq, Azhar

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Sym-Noetherianity for powers of GL-varieties

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