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Matematicheskie Zametki, 2019, Volume 105, Issue 5, paper published in the English version journal (Mi mzm12481)  
Papers published in the English version of the journal

Rees Algebras of a Class of Graded Ideals

G. Restuccia, R. Utano

Universitá degli Studi di Messina, Messina, 98166 Italy
Abstract: The paper deals with the Rees algebra ${\mathcal R}$ of a graded ideal $I$ of a standard graded algebra $A$ generated by a subset of generators of the maximal graded ideal of $A$. We compute the cohomology modules of ${\mathcal R}$ in terms of the cohomology modules of $A$ and depth$({\mathcal R})$ in terms of depth$(A)$.
Keywords: Rees algebra, local cohomology, depth.
Funding agency Grant number
National Group for Algebraic and Geometric Structures and Their Applications
This work was supported by the National Group for Algebraic and Geometric Structures and Their Applications (GNSAGA--INDAM).
Received: 11.06.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 5, Pages 747–755
DOI: https://doi.org/10.1134/S0001434619050110
Bibliographic databases:
Document Type: Article
Language: English
Citation: G. Restuccia, R. Utano, “Rees Algebras of a Class of Graded Ideals”, Math. Notes, 105:5 (2019), 747–755
Citation in format AMSBIB
\Bibitem{ResUta19}
\by G.~Restuccia, R.~Utano
\paper Rees Algebras of a Class of Graded Ideals
\jour Math. Notes
\yr 2019
\vol 105
\issue 5
\pages 747--755
\mathnet{http://mi.mathnet.ru/mzm12481}
\crossref{https://doi.org/10.1134/S0001434619050110}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3951594}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85068194912}
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