Sökning: "Stefano Marseglia"
Hittade 2 avhandlingar innehållade orden Stefano Marseglia.
1. Computing abelian varieties over finite fields
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
2. Isomorphism classes of abelian varieties over finite fields
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