Sökning: "Lars Halle"

Hittade 3 avhandlingar innehållade orden Lars Halle.

1. 1. Stable reduction of curves and tame ramification

   Författare :Lars Halvard Halle; Carel Faber; Bas Edixhoven; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

   Sammanfattning : This thesis treats various aspects of stable reduction of curves, and consists of two separate papers. In Paper I of this thesis, we study stable reduction of curves in the case where a tamely ramified base extension is sufficient. LÄS MER

3. 2. The space of Cohen-Macaulay curves

   Författare :Katharina Heinrich; Roy Skjelnes; Lars Halvard Halle; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES;

   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

4. 3. 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