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

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic

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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.

Originele taal-2	Engels
Artikelnummer	2212.05790
Aantal pagina's	19
Tijdschrift	arXiv
Volume	2022
DOI's	https://doi.org/10.48550/arXiv.2212.05790
Status	Gepubliceerd - 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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Sym-Noetherianity for powers of GL-varieties

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