On asymptotic socle degrees of local cohomology modules

[摘要] Let R be a standard graded algebra over a field kand Ibe a homogeneous ideal of R. We study the question whether there is a constant csuch that Soc(H-m(j)(R/I-t))< -ct= 0for all t >= 1 and a variation of this question. We also draw a connection between this question and the notion of gauge-boundedness in prime characteristic. (c) 2021 Elsevier B.V. All rights reserved.

[发布日期] 2021-12-01