Search for dissertations about: "Roy Skjelnes"
Showing result 1 - 5 of 6 swedish dissertations containing the words Roy Skjelnes.
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1. On Hilbert schemes parameterizing points on the affine line having support in a fixed subset
Abstract : .... READ MORE
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2. Half–Exact Coherent Functors over PIDs and Dedekind Domains
Abstract : 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. READ MORE
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3. The space of Cohen-Macaulay curves
Abstract : 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. READ MORE
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4. The space of Cohen–Macaulay curves and related topics
Abstract : 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. READ MORE
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5. Towards Plane Hurwitz Numbers
Abstract : 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. READ MORE