Search for dissertations about: "Algebraic curve"

Showing result 6 - 10 of 17 swedish dissertations containing the words Algebraic curve.

2. 6. Towards Plane Hurwitz Numbers

   Author : Jared Ongaro; Boris Shapiro; Roy Skjelnes; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Algebraic curves; Hurwitz spaces; Mathematics; matematik;

   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

4. 7. Cohomology of arrangements and moduli spaces

   Author : Olof Bergvall; Carel Faber; Jonas Bergström; Orsola Tommasi; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Algebraic geometry; moduli spaces; cohomology; toric arrangements; equivariant; point counts; finite fields; mixed Hodge structures; Mathematics; matematik;

   Abstract : This thesis mainly concerns the cohomology of the moduli spaces ℳ3[2] and ℳ3,1[2] of genus 3 curves with level 2 structure without respectively with a marked point and some of their natural subspaces. A genus 3 curve which is not hyperelliptic can be realized as a plane quartic and the moduli spaces ?[2] and ?1[2] of plane quartics without respectively with a marked point are given special attention. READ MORE

5. 8. An Exploration of Q-Systems : From Spin Chains to Low-Dimensional AdS/CFT

   Author : Simon Ekhammar; Dmytro Volin; Konstantin Zarembo; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Quantum Spectral Curve; Integrability; AdS CFT; Physics and Astronomy specializing in Theoretical Physics; Fysik och astronomi med inriktning mot teoretisk fysik;

   Abstract : The discovery of integrability in the planar limit of the AdS5/CFT4 correspondence has led to impressive progress in the study of string theory and four-dimensional N=4 Super-Yang-Mills. In particular, with the formulation of the Quantum Spectral Curve (QSC) the spectral problem is now solved. READ MORE

6. 9. Intelligence and models for cognitive development

   Author : Linda Wänström; Daniel Thorburn; Gösta Hägglund; Dag Sörbom; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; intelligence; cognitive development; sample size; multilevel models; latent growth curve models; Statistics; Statistik; statistik; Statistics;

   Abstract : This dissertation focuses on cognitive development. In papers I and II, I study a special model, the second order latent growth curve model, that can be used to study cognitive development. Algebraic expressions for the variance of the estimation of slope differences are given. READ MORE

7. 10. Polynomial Sequences Generated by Linear Recurrences : Location and Reality of Zeros

   Author : Innocent Ndikubwayo; Boris Shapiro; Rikard Bögvad; Tamás Forgacs; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; real-rooted polynomials; generating functions; discriminants; Tran s conjecture; Toeplitz matrices; Mathematics; matematik;

   Abstract : In this thesis, we study the problem of location of the zeros of individual polynomials in sequences of polynomials generated by linear recurrence relations.In paper I, we establish the necessary and sufficient conditions that guarantee hyperbolicity of all the polynomials generated by a three-term recurrence of length 2, whose coefficients are arbitrary real polynomials. READ MORE