2005/10/18 by Giulio Caviglia, Caviglia, Giulio
Mathematics · #13D02 #13D45 #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.math/0510395
openalex publication_date 2005/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we show how, given a complex of graded modules and knowing some partial Castelnuovo-Mumford regularities for all the modules in the complex and for all the positive homologies, it is possible to get a bound on the regularity of the zero homology. We use this to prove that if dim \tor1R(M,N)≤1 then \reg(M⊗ N)≤ \reg(M)+\reg(N), generalizing results of Chandler, Conca and Herzog, and Sidman. Finally we give a description of the regularity of a module in terms of the postulation numbers of filter regular hyperplane restrictions.