Sökning: "Algebraic geometry"

Visar resultat 6 - 10 av 76 avhandlingar innehållade orden Algebraic geometry.

  1. 6. Morphisms of real calculi from a geometric and algebraic perspective

    Författare :Axel Tiger Norkvist; Joakim Arnlind; Stefan Wagner; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; noncommutative geometry; embeddings; matrix algebras; real calculi; morphisms; free module; projective module;

    Sammanfattning : Noncommutative geometry has over the past four of decades grown into a rich field of study. Novel ideas and concepts are rapidly being developed, and a notable application of the theory outside of pure mathematics is quantum theory. LÄS MER

  3. 7. Cohomology of the moduli space of curves of genus three with level two structure

    Författare :Olof Bergvall; Carel Faber; Jonas Bergström; Johannes Nicaise; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Algebraic geometry; Moduli space; Cohomology; Symplectic structure; Point count; Mathematics; matematik;

    Sammanfattning : In this thesis we investigate the moduli space M3[2] of curves of genus 3 equipped with a symplectic level 2 structure. In particular, we are interested in the cohomology of this space. We obtain cohomological information by decomposing M3[2] into a disjoint union of two natural subspaces, Q[2] and H3[2], and then making S7- resp. LÄS MER

  4. 8. Isomorphism classes of abelian varieties over finite fields

    Författare :Stefano Marseglia; Jonas Bergström; Lars Halle; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Algebraic Geometry; Abelian Varieties; Finite Fields; Ideal Class Group; Ideal Class Monoid;

    Sammanfattning : Deligne and Howe described polarized abelian varieties over finite fields in terms of finitely generated free Z-modules satisfying a list of easy to state axioms. In this thesis we address the problem of developing an effective algorithm to compute isomorphism classes of (principally) polarized abelian varieties over a finite field, together with their automorphism groups. LÄS MER

  5. 9. Localization using Distance Geometry : Minimal Solvers and Robust Methods for Sensor Network Self-Calibration

    Författare :Martin Larsson; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; localization; TDOA; TOA; trilateration; multilateration; distance geometry; registration; sensor network self-calibration;

    Sammanfattning : In this thesis, we focus on the problem of estimating receiver and sender node positions given some form of distance measurements between them. This kind of localization problem has several applications, e.g. LÄS MER

  7. 10. Universal algebraic structures on polyvector fields

    Författare :Johan Alm; Sergei Merkulov; Anton Alekseev; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; matematik;

    Sammanfattning : The theory of operads is a conceptual framework that has become a kind of universal language, relating branches of topology and algebra. This thesis uses the operadic framework to study the derived algebraic properties of polyvector fields on manifolds.The thesis is divided into eight chapters. LÄS MER