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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2019 Volume 105, Issue 5, Pages 747–755 (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.

Received: 11.06.2018

Language: English


 English version:
Mathematical Notes, 2019, 105:5, 747–755

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© Steklov Math. Inst. of RAS, 2026