Sökning: "Roy Skjelnes"
Visar resultat 1 - 5 av 6 avhandlingar innehållade orden Roy Skjelnes.
1. On Hilbert schemes parameterizing points on the affine line having support in a fixed subset
Sammanfattning : .... LÄS MER
2. Half–Exact Coherent Functors over PIDs and Dedekind Domains
Sammanfattning : The focus of this thesis is to characterize half–exact coherent functors over principal ideal domains (PIDs) and Dedekind domains. Ever since they where discovered, coherent functors have been useful in the study of some mathematical objects. We aim to explore a little more about them in this thesis. LÄS MER
3. The space of Cohen-Macaulay curves
Sammanfattning : In this thesis we discuss a moduli space of projective curves with a map to a given projective space. The functor CM parametrizes curves, that is, Cohen-Macaulay schemes of pure dimension 1, together with a finite map to the projective space that is an isomorphism onto its image away from a finite set of closed points. LÄS MER
4. The space of Cohen–Macaulay curves and related topics
Sammanfattning : The space of Cohen–Macaulay curves is a compactification of the space of curves that are embedded in a given projective space Pn. The idea is similar to that of the Hilbert scheme but instead of adding degenerated curves, one considers only curves without embedded or isolated points. LÄS MER
5. Towards Plane Hurwitz Numbers
Sammanfattning : The main objects of this thesis are branched coverings obtained as projection from a point in P^2. Our general goal is to understand how a given meromorphic function f: X -> P^1 can be induced from a composition X --> C -> P^1, where C is a plane curve in P^2 which is birationally equivalent to the smooth curve X. LÄS MER
