Search for dissertations about: "Betti numbers"

Showing result 1 - 5 of 7 swedish dissertations containing the words Betti numbers.

  2. 1. Bounds on Hilbert Functions and Betti Numbers of Veronese Modules

    Author : Ornella Greco; Mats Boij; Maria Evelina Rossi; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Hilbert function; Betti numbers; Veronese modules; Pinched veronese; h-vectors; Mathematics; Matematik;

    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

  4. 2. Ekedahl Invariants, Veronese Modules and Linear Recurrence Varieties

    Author : Ivan Martino; Anders Björner; Volkmar Welker; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Ekedahl Invariants; Noether Problem; Bogomolov Multiplier; Cyclic quotient singularities; Veronese Modules; Pile simplicial complex; Semigroup Rings; Betti Numbers; Mathematics; matematik;

    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

  5. 3. Chordal and Complete Structures in Combinatorics and Commutative Algebra

    Author : Eric Emtander; Jörgen Backelin; Ralf Fröberg; Bernd Sturmfels; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Betti numbers; chordal hypergraphs; complete hypergraphs; hypercycle; line hypergraph; numerical monoids; positive affine monoids; Other mathematics; Övrig matematik; Mathematics; matematik;

    Abstract : This thesis is divided into two parts. The first part is concerned with the commutative algebra of certain combinatorial structures arising from uniform hypergraphs. The main focus lies on two particular classes of hypergraphs called chordal hypergraphs and complete hypergraphs, respectively. READ MORE

  6. 4. Graded Betti Numbers and Hilbert Functions of Graded Cohen-Macaulay Modules

    Author : Jonas Söderberg; Mats Boij; Jürgen Herzog; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Abstract : In this thesis we study graded Cohen-Macaulay modules and their possible Hilbert functions and graded Betti numbers. In most cases the Cohen-Macaulay modules we study are level modules. READ MORE

  7. 5. Around minimal Hilbert series problems for graded algebras

    Author : Lisa Nicklasson; Samuel Lundqvist; Christian Gottlieb; Uwe Nagel; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Graded algebras; Hilbert series; Lefschetz properties; Exterior algebra; Linear resolution; Mathematics; matematik;

    Abstract : The Hilbert series of a graded algebra is an invariant that encodes the dimension of the algebra's graded compontents. It can be seen as a tool for measuring the size of a graded algebra. This gives rise to the idea of algebras with a "minimal Hilbert series", among the algebras within a certain family. READ MORE