Sökning: "Mats Boij"
Visar resultat 1 - 5 av 10 avhandlingar innehållade orden Mats Boij.
1. Lefschetz properties and Jordan types of Artinian algebras
Sammanfattning : 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. LÄS MER
2. Lefschetz Properties of Monomial Ideals
Sammanfattning : This thesis concerns the study of the Lefschetz properties of artinian monomial algebras. An artinian algebra is said to satisfy the strong Lefschetz property if multiplication by all powers of a general linear form has maximal rank in every degree. If it holds for the first power it is said to have the weak Lefschetz property (WLP). LÄS MER
3. Absorption of Sound : On the effects of field interaction on absorber performance
Sammanfattning : Environmental noise has for decades been a well known problem, especially in urban areas. As noise requirements for vehicles are sharpened, noise reducing concepts are needed in early design stages requiring accurate simulations to support the design. LÄS MER
4. Bounds on Hilbert Functions
Sammanfattning : 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. LÄS MER
5. Bounds on Hilbert Functions and Betti Numbers of Veronese Modules
Sammanfattning : 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. LÄS MER