Search for dissertations about: "Cohen-Macaulay complex"
Found 5 swedish dissertations containing the words Cohen-Macaulay complex.
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1. Simplicial Complexes of Graphs
Abstract : Let G be a finite graph with vertex set V and edge set E. A graph complex on G is an abstract simplicial complex consisting of subsets of E. In particular, we may interpret such a complex as a family of subgraphs of G. READ MORE
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2. Complexes and Diffrerential Graded Modules
Abstract : The main topic of the thesis is the generalization of some traditional module-theoretic homological applications to complexes of modules and to differential graded modules over differential graded rings. We introduce three possible generalizations of the classical notion of annihilator of an R-module. READ MORE
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3. Ekedahl Invariants, Veronese Modules and Linear Recurrence Varieties
Abstract : The title of this thesis refers to the three parts of which it is composed.The first part concerns the Ekedahl Invariants, new geometric invariants for finite groups introduced in 2009 by Torsten Ekedahl. READ MORE
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4. Bounds on Hilbert Functions and Betti Numbers of Veronese Modules
Abstract : The thesis is a collection of four papers dealing with Hilbert functions and Betti numbers.In the first paper, we study the h-vectors of reduced zero-dimensional schemes in . In particular we deal with the problem of findingthe possible h-vectors for the union of two sets of points of given h-vectors. READ MORE
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5. Minimal models in algebra, combinatorics and topology
Abstract : The thesis consists of seven papers.In Paper I, II, III, IV and V, we study homological invariants of monomial rings — rings of the form R = k[x1, . . . READ MORE