The characteristic polynomials of abelian varieties of dimensions and over finite fields
24 Pages
English
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The characteristic polynomials of abelian varieties of dimensions and over finite fields

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24 Pages
English

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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


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ehTcharacteristicpolynomialsofabelianvarietiesofdimensions3and4overfinitefieldsSafiaHalouimorfInstitutdeMathe´matiquesdeLuminyMarseille,FranceMarch14,2011
CharacteristicpolynomialsofabelianvarietiesoverfinitesdleLetAbeanabelianvarietyofdimensiongdefinedoverFq,q=pn.ThecharacteristicpolynomialfA(t)ofAisdefinedtobethecharacteristicpolynomialofitsabsoluteFrobeniusmorphismactingonT`(A)Z`Q`,`6=p.ThepolynomialfA(t)hasintegercoefficientsanddoesnotdepend.`no