The groups of points on abelian varieties over finite fields

• Autorzy: Sergey Rybakov
• Języki publikacji: EN

Abstrakty

EN

Let A be an abelian variety with commutative endomorphism algebra over a finite field k. The k-isogeny class of A is uniquely determined by a Weil polynomial f A without multiple roots. We give a classification of the groups of k-rational points on varieties from this class in terms of Newton polygons of f A(1 − t).

Słowa kluczowe

EN

Abelian variety; The group of rational points; Finite field; Newton polygon; Hodge polygon

Kategorie tematyczne

• 14K99: None of the above, but in this section
• 14G15: Finite ground fields
• 14G05: Rational points

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 2
• Strony: 282-288

Daty

wydano

2010-04-01

online

2010-04-14

Twórcy

autor

Sergey Rybakov

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-010-0003-x