Sökning: "Algebraic curves"
Visar resultat 1 - 5 av 16 avhandlingar innehållade orden Algebraic curves.
1. Compactifying locally Cohen-Macaulay projective curves
Sammanfattning : We define a moduli functor parametrizing finite maps from a projective (locally) Cohen-Macaulay curve to a fixed projective space. The definition of the functor includes a number of technical conditions, but the most important is that the map is almost everywhere an isomorphism onto its image. LÄS MER
2. Topics in projective algebraic optimization
Sammanfattning : This thesis explores optimization challenges within algebraic statistics, employing both topological and geometrical methodologies to derive new insights. The main focus is the optimization degree of nearest point and Gaussian maximum likelihood estimation problems with algebraic constraints. LÄS MER
3. Topics in Combinatorial Algebraic Geometry
Sammanfattning : This thesis consists of six papers in algebraic geometry –all of which have close connections to combinatorics. In Paper A we consider complete smooth toric embeddings X ↪ P^N such that for a fixed positive integer k the t-th osculating space at every point has maximal dimension if and only if t ≤ k. LÄS MER
4. 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
5. 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
