Sökning: "point counts"

Visar resultat 1 - 5 av 28 avhandlingar innehållade orden point counts.

1. 1. Cohomology of arrangements and moduli spaces

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

   Sammanfattning : 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. LÄS MER

3. 2. Point counts and the cohomology of moduli spaces of curves

   Författare :Jonas Bergström; Carel Faber; Lothar Göttsche; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

   Sammanfattning : n this thesis we count the number of points defined over finite fields of certain moduli spaces of pointed curves. The aim is primarily to gain cohomological information. Paper I is joint work with Orsola Tommasi. Here we present details of the method of finding cohomological information on moduli spaces of curves by counting points. LÄS MER

4. 3. Traces of Hecke operators on Drinfeld modular forms via point counts

   Författare :Sjoerd De Vries; Jonas Bergström; Gunther Cornelissen; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Drinfeld modules; Drinfeld modular forms; trace formula; Ramanujan bound; slopes; matematik; Mathematics;

   Sammanfattning : In this licentiate thesis, we study the action of Hecke operators on Drinfeld cusp forms via the theory of crystals over function fields. The thesis contains one preliminary chapter, in which we recall some basic theory of Drinfeld modules and Drinfeld modular forms, as well as the Eichler-Shimura theory developed by Böckle. LÄS MER

5. 4. Development and Investigation of Reactivity Measurement Methods in Subcritical Cores

   Författare :Johanna Wright; Chalmers tekniska högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; source modulation method; point kinetics; core loading; reactivity measurement; Feynman-alpha formulae; Accelerator Driven Systems ADS ; subcritical cores;

   Sammanfattning : Subcriticality measurements during core loading and in future accelerator driven systems have a clear safety relevance. In this thesis two subcriticality methods are treated: the Feynman-alpha and the source modulation method. LÄS MER

7. 5. 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