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THE BOUNDS OF THE COEFFICIENTS OF THE CHARACTERISTIC POLYNOMIALS FOR ABELIAN VARIETIES OF DIMENSION 5 OVER FINITE FIELDS

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In this article, we derive the bounds of the coecients of the characteristic polynomials of the Frobenious endomorphism of abelian varieties of dimension 5 over nite elds Fq where q = pn, n odd.

Abstract

In this article, we derive the bounds of the coecients of the characteristic polynomials of the Frobenious endomorphism of abelian varieties of dimension 5 over nite elds Fq where q = pn, n odd.

참고문헌 (8)

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  2. S. Haloui, "The characteristic polynomials of abelian varieties of dimension 3 over finite fields", J. Number Theory, (130), pp.2745~2752 (2010)
  3. S. Haloui, "The characteristic polynomials of abelian varieties of dimension 4 over finite fields", pp.2745~2752 (2011)
  4. D. Maisner, "Abelian surfaces over finite fields as jacobians", Experiment. Math, 11, pp.321~337 (2002)
  5. H. G. Ruck, "Abelian surfaces and Jacobian varieties over finite fields", Compos. Math, 76, pp.351~366 (1990)
  6. C. Smyth, "Totally positive algebraic integers of small trace", Ann. Inst. Fourrier, 33, pp.285~302 (1973)
  7. J. Tate, "Endomorphisms of abelian varieties over finite fields", Invent. Math., 2, pp.134~144 (1966)
  8. W. Waterhouse, "Abelian varities over finite fields", Ann Sci. Ecole Norm. Sup, 2(4), pp.521~560 (1969)

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