On the minimal graded free resolution of powers of lexsegment ideals

2012/06/28 by Olteanu, Anda
#13D02 (Primary) 13C15 #13H10 #13P10 (Secondary) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1206.6731

Abstract

We consider powers of lexsegment ideals with a linear resolution (equivalently, with linear quotients) which are not completely lexsegment ideals. We give a complete description of their minimal graded free resolution.

Related

• Properties of lexsegment ideals
• Powers of lexsegment ideals with linear resolution
• Minimal free resolution of a graded ideal with linear quotients
• Monomial ideals whose powers have a linear resolution
• Shifting operations and completely t-spread lexsegment ideals