Avancerad sökning

Hittade 2 avhandlingar som matchar ovanstående sökkriterier.

1. 1. Computing abelian varieties over finite fields

   Författare :Stefano Marseglia; Jonas Bergström; Christophe Ritzenthaler; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; abelian varieties; finite fields; period matrices; ideal classes; orders; number fields; integral matrices; Mathematics; matematik;

   Sammanfattning : In this thesis we address the problem of developing effective algorithms to compute isomorphism classes of polarized abelian varieties over a finite field and of fractional ideals of an order in a finite product of number fields.There are well-known methods to efficiently compute the classes of invertible ideals of an order in a number field, but not much has previously been known about non-invertible ideals. LÄS MER

3. 2. 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