Search for dissertations about: "hilbert-functions"

Found 5 swedish dissertations containing the word hilbert-functions.

  2. 1. Bounds on Hilbert Functions

    Author : Ornella Greco; Mats Boij; Aldo Conca; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Hilbert Functions; Commutative Algebra;

    Abstract : This thesis is constituted of two articles, both related to Hilbert functions and h-vectors. In the first paper, we deal with h-vectorsof reduced zero-dimensional schemes in the projective plane, and, in particular, with the problem of finding the possible h-vectors for the union of two sets of points of given h-vectors. READ MORE

  4. 2. Rotstein rings and some inequalities concerning Hilbert functions

    Author : Anders Ljungström; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : .... READ MORE

  5. 3. 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

  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. Lefschetz properties and Jordan types of Artinian algebras

    Author : Nasrin Altafi; Mats Boij; Martina Juhnke-Kubitzke; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Lefschetz properties; Jordan type; Hilbert function; Artinian algebra; Gorenstein algebra; Hessian;

    Abstract : This thesis contains six papers concerned with studying the Lefschetz properties and Jordan types of linear forms for graded Artinian algebras. Lefschetz properties and Jordan types carry information about the ranks of multiplication maps by linear forms on graded Artinian algebras. READ MORE