# The groups of points on abelian varieties over finite fields

Open Mathematics (2010)

- Volume: 8, Issue: 2, page 282-288
- ISSN: 2391-5455

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topSergey Rybakov. "The groups of points on abelian varieties over finite fields." Open Mathematics 8.2 (2010): 282-288. <http://eudml.org/doc/268981>.

@article{SergeyRybakov2010,

abstract = {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).},

author = {Sergey Rybakov},

journal = {Open Mathematics},

keywords = {Abelian variety; The group of rational points; Finite field; Newton polygon; Hodge polygon; abelian variety; Weil polynomial},

language = {eng},

number = {2},

pages = {282-288},

title = {The groups of points on abelian varieties over finite fields},

url = {http://eudml.org/doc/268981},

volume = {8},

year = {2010},

}

TY - JOUR

AU - Sergey Rybakov

TI - The groups of points on abelian varieties over finite fields

JO - Open Mathematics

PY - 2010

VL - 8

IS - 2

SP - 282

EP - 288

AB - 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).

LA - eng

KW - Abelian variety; The group of rational points; Finite field; Newton polygon; Hodge polygon; abelian variety; Weil polynomial

UR - http://eudml.org/doc/268981

ER -

## References

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