The characteristic polynomials of abelian varieties of dimensions and over finite fields

Safia Haloui

Description

The characteristic polynomials of abelian varieties of dimensions 3 and 4 over finite fields Safia Haloui from Institut de Mathematiques de Luminy Marseille, France March 14, 2011

• ag tg


• finite fields


• frobenius morphism


• thus every


• defined over


• varieties over


• over finite

Sujets

• Finite field
• Frobenius endomorphism

Informations

• Publié par: profil-urra-2012
• Nombre de lectures: 27
• Langue: English

Extrait

ehTcharacteristicpolynomialsofabelianvarieties ofdimensions3and4overfinitefields SafiaHaloui morf InstitutdeMathe´matiquesdeLuminy Marseille,France March14,2011

Characteristicpolynomialsofabelianvarietiesoverfinite sdlefi LetAbeanabelianvarietyofdimensiongdefinedover F q ,q=p n . Thecharacteristicpolynomialf A (t)ofAisdefinedtobethe characteristicpolynomialofitsabsoluteFrobeniusmorphism actingonT ` (A) ⊗ Z ` Q ` , `6 =p. Thepolynomialf A (t)hasintegercoefficientsanddoesnotdepend . ` no