2008/01/15 by Gemma Colomé-Nin, Colomé-Nin, Gemma, Juan Elías +1
Mathematics · #13A02 #13A30 #13C15 #13D45 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.0801.2247
openalex publication_date 2008/01/15 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
In this paper we study some cohomological properties of non-standard multigraded modules and Veronese transforms of them. Among others numerical characters, we study the generalized depth of a module and we see that it is invariant by taking a Veronese transform. We prove some vanishing theorems for the local cohomology modules of a multigraded module; as a corollary of these results we get that the depth of a Veronese module is asymptotically constant.