Artinian Gorenstein algebras with linear resolutions

2013/06/11 by Khoury, Sabine El, Kustin, Andrew R.
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1306.2523

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.

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