Extremal Rees Algebras
Commutative Algebra
2012-08-14 v1
Abstract
We study almost complete intersections ideals whose Rees algebras are extremal in the sense that some of their fundamental metrics---depth or relation type---have maximal or minimal values in the class. The focus is on those ideals that lead to almost Cohen--Macaulay algebras and our treatment is wholly concentrated on the nonlinear relations of the algebras. Several classes of such algebras are presented, some of a combinatorial origin. We offer a different prism to look at these questions with accompanying techniques. The main results are effective methods to calculate the invariants of these algebras.
Cite
@article{arxiv.1208.2466,
title = {Extremal Rees Algebras},
author = {Jooyoun Hong and Aron Simis and Wolmer V. Vasconcelos},
journal= {arXiv preprint arXiv:1208.2466},
year = {2012}
}
Comments
29 pages