Publications [#339831] of Ezra Miller

Other Faculty Listings:   Faculty Alphabetically | By Rank | By Area

Peer-reviewed journal articles published

1. Miller, E. "Graded greenlees-may duality and the cech hull." Local Cohomology and its Applications (January, 2001): 233-253.
   (last updated on 2024/04/24)

   Abstract:
   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.