2015/10/28 by Daniel Wood, Wood, Daniel
Mathematics · #13D02 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #math.CO #msc:13D02
paper · pdf · doi:10.48550/arxiv.1510.08402
12 pages
arxiv created 2015/10/28 · arxiv updated 2015/10/29
We introduce the notion of a Betti-linear monomial ideal, which generalizes the notion of lattice-linear monomial ideal introduced by Clark. We provide a characterization of Betti-linearity in terms of Tchernev's poset construction. As an application we obtain an explicit canonical construction for the minimal free resolutions of monomial ideals having pure resolutions.