The possible extremal Betti numbers of a homogeneous ideal
Commutative Algebra
2013-08-29 v4
Abstract
We give a numerical characterization of the possible extremal Betti numbers (values as well as positions) of any homogeneous ideal in a polynomial ring over a field.
Cite
@article{arxiv.1111.0442,
title = {The possible extremal Betti numbers of a homogeneous ideal},
author = {Jürgen Herzog and Leila Sharifan and Matteo Varbaro},
journal= {arXiv preprint arXiv:1111.0442},
year = {2013}
}
Comments
To appear in Proc. Amer. Math. Soc.. Changed title and abstract from the previous version. Essentially, this version (which is the one that will be published in PAMS) differs from the previous one because the removal of the first part, that has however been enclosed in the new article of the same three authors entitled "An intriguing ring structure on the set of d-forms"