Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9497156 | Journal of Pure and Applied Algebra | 2005 | 13 Pages |
Abstract
In this paper, we study arithmetic Macaulayfication of projective schemes and Rees algebras of ideals. We discuss the existence of an arithmetic Macaulayfication for projective schemes. We give a simple neccesary and sufficient condition for nonsingular projective varieties to possess an arithmetic Macaulayfication (Theorem 1.5). We also show that this condition is sufficient in general, but give examples to show that it is not in general necessary. We further consider Rees algebras Rλ(I)=R[Iλt] (truncated Rees algebras) associated to a homogeneous ideal I and show that they are Cohen-Macaulay for large λ in some important cases (Theorem 2.1 and Corollary 2.2.1).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Steven Dale Cutkosky, HÃ Huy TÃ i,