Graded greenlees-may duality and the cech hull


Book Section

© 2002 by Taylor and Francis Group, LLC. The duality theorem of Greenlees and May relating local cohomology with support on an ideal I and the left derived functors of J-adic completion [GM92) holds for rather general ideals in commutative rings. Here, simple formulas are provided for both local cohomology and derived functors of zn-graded completion, when I is a monomial ideal in the Zn-graded polynomial ring k[xl,…, xn] Greenlees-May duality for this case is a consequence. A key construction is the combinatorially defined Cech hull operation on Zn-graded modules [Mil98, MilOO, YanOO]. A simple self-contained proof of GM duality in the derived category is presented for arbitrarily graded noetherian rings, using methods motivated by the Čech hull.

Duke Authors

Cited Authors

  • Miller, E

Published Date

  • January 1, 2001

Book Title

  • Local Cohomology and its Applications

Start / End Page

  • 233 - 253

International Standard Book Number 13 (ISBN-13)

  • 9781138402133

Citation Source

  • Scopus