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December 2020 On derived functors of graded local cohomology modules—II
Tony J. Puthenpurakal, Sudeshna Roy, Jyoti Singh
Illinois J. Math. 64(4): 595-612 (December 2020). DOI: 10.1215/00192082-8720498

Abstract

Let R=K[X1,,Xn], where K is a field of characteristic zero, and let An(K) be the nth Weyl algebra over K. We give standard grading on R and An(K). Let I, J be homogeneous ideals of R. Let M=HIi(R) and N=HJj(R) for some i,j. We show that ExtAn(K)ν(M,N) is concentrated in degree zero for all ν0 (i.e., ExtAn(K)ν(M,N)l=0 for l0). This proves a conjecture stated in Part I of this paper (T. J. Puthenpurakal and J. Singh, On derived functors of graded local cohomology modules, Math. Proc. Cambridge Philos. Soc. 167 (2018), no. 3, 549–565).

Citation

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Tony J. Puthenpurakal. Sudeshna Roy. Jyoti Singh. "On derived functors of graded local cohomology modules—II." Illinois J. Math. 64 (4) 595 - 612, December 2020. https://doi.org/10.1215/00192082-8720498

Information

Received: 22 November 2019; Revised: 19 June 2020; Published: December 2020
First available in Project Euclid: 16 September 2020

zbMATH: 07269222
MathSciNet: MR4164448
Digital Object Identifier: 10.1215/00192082-8720498

Subjects:
Primary: 13D45
Secondary: 13N10

Rights: Copyright © 2020 University of Illinois at Urbana-Champaign

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Vol.64 • No. 4 • December 2020
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