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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.9
- 수록면
- 585 - 590 (6page)
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This paper consider the Jacobian variety of a hyperelliptic curve over a finite field with the formal structure of the mixed type. We present the Newton polygon of the characteristic polynomial of the Frobenius endomorphism of the Jacobian variety.
It gives an useful tool for finding the local decomposition of the Jacobian variety into isotypic components.
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참고문헌 (7)
참고문헌 신청
Yu. I. Manin / 1965 / The Hasse-Witt matrix of an algebraic curve / AMS Trans. Ser. 2 45:245~264
F. Oort / 1989 / Hyperelliptic supersingular curves, Arithmetic algebraic geometry (Texel, 1989) / Progr. math 89:247~284
R. Pries / 2009 / The p-torsion of curves with large p-rank / Int. J. Number Theory 5(6):1103~1116
J. Scholten / 2002 / Hyperelliptic curves in characteristic 2 / Int. Math. Res. Not 17:905~917
N. Yui / 1978 / On the Jacobian Varieties of Hyperelliptic Curves over Fields of Characteristic p > 2 / Journal of Algebra 52(2):378~410
F. Oort / 1989 / Hyperelliptic supersingular curves, Arithmetic algebraic geometry (Texel, 1989) / Progr. math 89:247~284
R. Pries / 2009 / The p-torsion of curves with large p-rank / Int. J. Number Theory 5(6):1103~1116
J. Scholten / 2002 / Hyperelliptic curves in characteristic 2 / Int. Math. Res. Not 17:905~917
N. Yui / 1978 / On the Jacobian Varieties of Hyperelliptic Curves over Fields of Characteristic p > 2 / Journal of Algebra 52(2):378~410
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