Subadditivity of syzygies of Koszul algebras

2013/08/30 by Luchezar L. Avramov, Avramov, Luchezar L., Aldo Conca +3
Mathematics · #13D02 #16S37 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:13D02 #msc:16S37

paper · pdf · doi:10.48550/arxiv.1308.6811

19 pages

arxiv created 2013/08/30 · arxiv updated 2013/09/02

Abstract

Estimates are obtained for the degrees of minimal syzygies of quotient algebras of polynomial rings. For a class that includes Koszul algebra in almost all characteristics, these degrees are shown to increase by at most 2 from one syzygy module to the next one. Even slower growth is proved if, in addition, the algebra satisfies Green and Lazarsfeld's condition N_q with q > 1.

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