In:
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Springer Science and Business Media LLC, Vol. 62, No. 4 ( 2021-12), p. 857-870
Abstract:
We investigate the nearly Gorenstein property among d -dimensional cyclic quotient singularities $$\Bbbk \llbracket x_1,\dots ,x_d\rrbracket ^G$$ k 〚 x 1 , ⋯ , x d 〛 G , where $$\Bbbk $$ k is an algebraically closed field and $$G\subseteq {\text {GL}}(d,\Bbbk )$$ G ⊆ GL ( d , k ) is a finite small cyclic group whose order is invertible in $$\Bbbk $$ k . We prove a necessary and sufficient condition to be nearly Gorenstein that also allows us to find several new classes of such rings.
Type of Medium:
Online Resource
ISSN:
0138-4821
,
2191-0383
DOI:
10.1007/s13366-020-00533-4
Language:
English
Publisher:
Springer Science and Business Media LLC
Publication Date:
2021
detail.hit.zdb_id:
2163874-3
detail.hit.zdb_id:
2014219-5
detail.hit.zdb_id:
223551-1
SSG:
17,1
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