Artinian Gorenstein algebras with linear resolutions
Commutative Algebra
2013-06-12 v1
Abstract
Fix a pair of positive integers d and n. We create a ring R and a complex G of R-modules with the following universal property. Let P be a polynomial ring in d variables over a field and let I be a grade d Gorenstein ideal in P which is generated by homogeneous forms of degree n. If the resolution of P/I by free P-modules is linear, then there exists a ring homomorphism from R to P such that P tensor G is a minimal homogeneous resolution of P/I by free P-modules. Our construction is coordinate free.
Cite
@article{arxiv.1306.2523,
title = {Artinian Gorenstein algebras with linear resolutions},
author = {Sabine El Khoury and Andrew R. Kustin},
journal= {arXiv preprint arXiv:1306.2523},
year = {2013}
}